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data-event-name="pinnable-header.vector-toc.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">hide</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">(Top)</div> </a> </li> <li id="toc-Components_subject_to_fouling" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Components_subject_to_fouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Components subject to fouling</span> </div> </a> <ul id="toc-Components_subject_to_fouling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Macro_fouling" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Macro_fouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Macro fouling</span> </div> </a> <ul id="toc-Macro_fouling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Micro_fouling" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Micro_fouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Micro fouling</span> </div> </a> <button aria-controls="toc-Micro_fouling-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Micro fouling subsection</span> </button> <ul id="toc-Micro_fouling-sublist" class="vector-toc-list"> <li id="toc-Precipitation_fouling" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Precipitation_fouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Precipitation fouling</span> </div> </a> <ul id="toc-Precipitation_fouling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Particulate_fouling" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Particulate_fouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Particulate fouling</span> </div> </a> <ul id="toc-Particulate_fouling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Corrosion_fouling" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Corrosion_fouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Corrosion fouling</span> </div> </a> <ul id="toc-Corrosion_fouling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Chemical_reaction_fouling" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Chemical_reaction_fouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.4</span> <span>Chemical reaction fouling</span> </div> </a> <ul id="toc-Chemical_reaction_fouling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Solidification_fouling" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Solidification_fouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.5</span> <span>Solidification fouling</span> </div> </a> <ul id="toc-Solidification_fouling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Biofouling" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Biofouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.6</span> <span>Biofouling</span> </div> </a> <ul id="toc-Biofouling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Composite_fouling" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Composite_fouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.7</span> <span>Composite fouling</span> </div> </a> <ul id="toc-Composite_fouling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fouling_on_Mars" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fouling_on_Mars"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.8</span> <span>Fouling on Mars</span> </div> </a> <ul id="toc-Fouling_on_Mars-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Quantification_of_fouling" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Quantification_of_fouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Quantification of fouling</span> </div> </a> <ul id="toc-Quantification_of_fouling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Progress_of_fouling_with_time" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Progress_of_fouling_with_time"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Progress of fouling with time</span> </div> </a> <ul id="toc-Progress_of_fouling_with_time-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fouling_modelling" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Fouling_modelling"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Fouling modelling</span> </div> </a> <ul id="toc-Fouling_modelling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Economic_and_environmental_importance_of_fouling" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Economic_and_environmental_importance_of_fouling"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Economic and environmental importance of fouling</span> </div> </a> <ul id="toc-Economic_and_environmental_importance_of_fouling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fouling_control" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Fouling_control"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Fouling control</span> </div> </a> <ul id="toc-Fouling_control-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of 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<div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Accumulation of unwanted material on solid surfaces</div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">This article is about fouling in engineering. For uses of the term <i>foul</i> outside technology, see <a href="/wiki/Foul_(disambiguation)" class="mw-redirect mw-disambig" title="Foul (disambiguation)">Foul (disambiguation)</a>. For fouling on membrane surfaces, see <a href="/wiki/Membrane_fouling" title="Membrane fouling">Membrane fouling</a>.</div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Not to be confused with <a href="/wiki/Fowling" title="Fowling">fowling</a>.</div> <style data-mw-deduplicate="TemplateStyles:r1251242444">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}</style><table class="box-More_citations_needed plainlinks metadata ambox ambox-content ambox-Refimprove" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><a href="/wiki/File:Question_book-new.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/50px-Question_book-new.svg.png" decoding="async" width="50" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/75px-Question_book-new.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/100px-Question_book-new.svg.png 2x" data-file-width="512" data-file-height="399" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">This article <b>needs additional citations for <a href="/wiki/Wikipedia:Verifiability" title="Wikipedia:Verifiability">verification</a></b>.<span class="hide-when-compact"> Please help <a href="/wiki/Special:EditPage/Fouling" title="Special:EditPage/Fouling">improve this article</a> by <a href="/wiki/Help:Referencing_for_beginners" title="Help:Referencing for beginners">adding citations to reliable sources</a>. Unsourced material may be challenged and removed.<br /><small><span class="plainlinks"><i>Find sources:</i> <a rel="nofollow" class="external text" href="https://www.google.com/search?as_eq=wikipedia&q=%22Fouling%22">"Fouling"</a> – <a rel="nofollow" class="external text" href="https://www.google.com/search?tbm=nws&q=%22Fouling%22+-wikipedia&tbs=ar:1">news</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?&q=%22Fouling%22&tbs=bkt:s&tbm=bks">newspapers</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?tbs=bks:1&q=%22Fouling%22+-wikipedia">books</a> <b>·</b> <a rel="nofollow" class="external text" href="https://scholar.google.com/scholar?q=%22Fouling%22">scholar</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.jstor.org/action/doBasicSearch?Query=%22Fouling%22&acc=on&wc=on">JSTOR</a></span></small></span> <span class="date-container"><i>(<span class="date">November 2008</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Fouling02.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/Fouling02.jpg/220px-Fouling02.jpg" decoding="async" width="220" height="229" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/69/Fouling02.jpg/330px-Fouling02.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/6/69/Fouling02.jpg 2x" data-file-width="337" data-file-height="351" /></a><figcaption><a href="/wiki/Heat_exchanger" title="Heat exchanger">Heat exchanger</a> in a steam <a href="/wiki/Power_plant" class="mw-redirect" title="Power plant">power plant</a>, fouled by macro fouling</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Fouling01.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Fouling01.jpg/220px-Fouling01.jpg" decoding="async" width="220" height="97" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Fouling01.jpg/330px-Fouling01.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Fouling01.jpg/440px-Fouling01.jpg 2x" data-file-width="999" data-file-height="441" /></a><figcaption><a href="/wiki/Condenser_(steam_turbine)" class="mw-redirect" title="Condenser (steam turbine)">Condenser</a> <a href="/wiki/Tubing_(material)" class="mw-redirect" title="Tubing (material)">tube</a> with residues of <a href="/wiki/Biofouling" title="Biofouling">biofouling</a> (cut open)</figcaption></figure> <style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist 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.sidebar-title-with-pretitle{background:transparent!important}html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle a{color:var(--color-progressive)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-list-title,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle{background:transparent!important}html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle a{color:var(--color-progressive)!important}}@media print{body.ns-0 .mw-parser-output .sidebar{display:none!important}}</style><table class="sidebar nomobile nowraplinks"><tbody><tr><th class="sidebar-title">Mechanical failure modes</th></tr><tr><td class="sidebar-content hlist"> <ul><li><a href="/wiki/Buckling" title="Buckling">Buckling</a></li> <li><a href="/wiki/Corrosion" title="Corrosion">Corrosion</a></li> <li><a href="/wiki/Corrosion_fatigue" title="Corrosion fatigue">Corrosion fatigue</a></li> <li><a href="/wiki/Creep_(deformation)" title="Creep (deformation)">Creep</a></li> <li><a href="/wiki/Fatigue_(material)" title="Fatigue (material)">Fatigue</a></li> <li><a class="mw-selflink selflink">Fouling</a></li> <li><a href="/wiki/Fracture" title="Fracture">Fracture</a></li> <li><a href="/wiki/Hydrogen_embrittlement" title="Hydrogen embrittlement">Hydrogen embrittlement</a></li> <li><a href="/wiki/Impact_(mechanics)" title="Impact (mechanics)">Impact</a></li> <li><a href="/wiki/Liquid_metal_embrittlement" title="Liquid metal embrittlement">Liquid metal embrittlement</a></li> <li><a href="/wiki/Mechanical_overload" title="Mechanical overload">Mechanical overload</a></li> <li><a href="/wiki/Metal-induced_embrittlement" title="Metal-induced embrittlement">Metal-induced embrittlement</a></li> <li><a href="/wiki/Stress_corrosion_cracking" title="Stress corrosion cracking">Stress corrosion cracking</a></li> <li><a href="/wiki/Sulfide_stress_cracking" title="Sulfide stress cracking">Sulfide stress cracking</a></li> <li><a href="/wiki/Thermal_shock" title="Thermal shock">Thermal shock</a></li> <li><a href="/wiki/Wear" title="Wear">Wear</a></li> <li><a href="/wiki/Yield_(engineering)" title="Yield (engineering)">Yielding</a></li></ul></td> </tr><tr><td class="sidebar-navbar"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Mechanical_failure_modes" title="Template:Mechanical failure modes"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Mechanical_failure_modes" title="Template talk:Mechanical failure modes"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Mechanical_failure_modes" title="Special:EditPage/Template:Mechanical failure modes"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <p><b>Fouling</b> is the accumulation of unwanted material on solid surfaces. The fouling materials can consist of either living organisms (<a href="/wiki/Biofouling" title="Biofouling">biofouling</a>, organic) or a non-living substance (inorganic). Fouling is usually distinguished from other surface-growth phenomena in that it occurs on a surface of a component, system, or plant performing a defined and useful function and that the fouling process impedes or interferes with this function. </p><p>Other terms used in the literature to describe fouling include deposit formation, encrustation, crudding, deposition, scaling, scale formation, slagging, and sludge formation. The last six terms have a more narrow meaning than fouling within the scope of the fouling science and technology, and they also have meanings outside of this scope; therefore, they should be used with caution. </p><p>Fouling phenomena are common and diverse, ranging from fouling of ship hulls, natural surfaces in the marine environment (<a href="/wiki/Fouling_community" title="Fouling community">marine fouling</a>), fouling of <a href="/wiki/Heat_exchanger" title="Heat exchanger">heat-transfer</a> components through ingredients contained in <a href="/wiki/Cooling_water" class="mw-redirect" title="Cooling water">cooling water</a> or gases, and even the development of <a href="/wiki/Dental_plaque" title="Dental plaque">plaque</a> or <a href="/wiki/Calculus_(dental)" title="Calculus (dental)">calculus</a> on teeth or deposits on solar panels on Mars, among other examples. </p><p>This article is primarily devoted to the fouling of industrial heat exchangers, although the same theory is generally applicable to other varieties of fouling. In cooling technology and other technical fields, a distinction is made between macro fouling and micro fouling. Of the two, micro fouling is the one that is usually more difficult to prevent and therefore more important. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Components_subject_to_fouling">Components subject to fouling</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=1" title="Edit section: Components subject to fouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Scaling01.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Scaling01.jpg/220px-Scaling01.jpg" decoding="async" width="220" height="110" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Scaling01.jpg/330px-Scaling01.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Scaling01.jpg/440px-Scaling01.jpg 2x" data-file-width="1000" data-file-height="500" /></a><figcaption>cross-section of a condenser tube with <a href="/wiki/Calcium_carbonate" title="Calcium carbonate">calcium carbonate</a> scaling</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Korrosion_Rohr01.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/23/Korrosion_Rohr01.jpg/220px-Korrosion_Rohr01.jpg" decoding="async" width="220" height="95" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/23/Korrosion_Rohr01.jpg/330px-Korrosion_Rohr01.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/23/Korrosion_Rohr01.jpg/440px-Korrosion_Rohr01.jpg 2x" data-file-width="1001" data-file-height="431" /></a><figcaption>cross-section of a brass tube with <a href="/wiki/Corrosion" title="Corrosion">corrosion</a> traces</figcaption></figure> <p>Examples of components that may be subject to fouling and the corresponding effects of fouling: </p> <ul><li><a href="/wiki/Heat_exchanger" title="Heat exchanger">Heat exchanger</a> surfaces – reduces <a href="/wiki/Thermal_efficiency" title="Thermal efficiency">thermal efficiency</a>, decreases heat flux, increases temperature on the hot side, decreases temperature on the cold side, induces under-deposit corrosion, increases use of cooling water;</li> <li>Piping, flow channels – reduces flow, increases pressure drop, increases upstream pressure, increases energy expenditure, may cause flow oscillations, slugging in two-phase flow, cavitation; may increase flow velocity elsewhere, may induce vibrations, may cause flow blockage;<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></li> <li>Ship hulls – creates additional <a href="/wiki/Drag_(physics)" title="Drag (physics)">drag</a>, increases fuel usage, reduces maximum speed;<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></li> <li><a href="/wiki/Turbine" title="Turbine">Turbines</a> – reduces efficiency, increases probability of failure;</li> <li>Solar panels – decreases the electrical power generated;</li> <li><a href="/wiki/Membrane_fouling" title="Membrane fouling">Reverse osmosis membranes</a> – increases pressure drop, increases energy expenditure, reduces flux, membrane failure (in severe cases);<sup id="cite_ref-memfoul_3-0" class="reference"><a href="#cite_note-memfoul-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup></li> <li>Electrical <a href="/wiki/Heating_element" title="Heating element">heating elements</a> – increases temperature of the element, increases corrosion, reduces lifespan;</li> <li><a href="/wiki/Firearm" title="Firearm">Firearm</a> barrels - increases chamber pressure; hampers loading for <a href="/wiki/Muzzleloader" title="Muzzleloader">muzzleloaders</a></li> <li>Nuclear fuel in <a href="/wiki/Pressurized_water_reactor" title="Pressurized water reactor">pressurized water reactors</a> – axial offset anomaly,<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> may need to de-rate the power plant;</li> <li>Injection/spray nozzles (e.g., a nozzle spraying a fuel into a furnace) – incorrect amount injected, malformed jet, component inefficiency, component failure;</li> <li><a href="/wiki/Venturi_tube" class="mw-redirect" title="Venturi tube">Venturi tubes</a>, <a href="/wiki/Orifice_plate" title="Orifice plate">orifice plates</a> – inaccurate or incorrect measurement of flow rate;</li> <li><a href="/wiki/Pitot_tube" title="Pitot tube">Pitot tubes</a> in airplanes – inaccurate or incorrect indication of airplane speed;</li> <li><a href="/wiki/Spark_plug" title="Spark plug">Spark plug</a> electrodes in cars – engine misfiring;<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup></li> <li>Production zone of <a href="/wiki/Petroleum_reservoir" title="Petroleum reservoir">petroleum reservoirs</a> and <a href="/wiki/Oil_well" title="Oil well">oil wells</a> – decreased <a href="/wiki/Extraction_of_petroleum" title="Extraction of petroleum">petroleum production</a> with time; plugging; in some cases complete stoppage of flow in a matter of days;<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup></li> <li>Teeth – promotes tooth or gum disease, decreases aesthetics;</li> <li>Living organisms – deposition of excess minerals (e.g., calcium, iron, copper) in tissues is (sometimes controversially) linked to <a href="/wiki/Aging" class="mw-redirect" title="Aging">aging</a>/<a href="/wiki/Senescence" title="Senescence">senescence</a>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Macro_fouling">Macro fouling</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=2" title="Edit section: Macro fouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Macro fouling is caused by <a href="/wiki/Debris" title="Debris">coarse</a> matter of either biological or inorganic origin, for example industrially produced <a href="/wiki/Refuse" class="mw-redirect" title="Refuse">refuse</a>. Such matter enters into the cooling water circuit through the cooling <a href="/wiki/Water_pump" class="mw-redirect" title="Water pump">water pumps</a> from sources like the open <a href="/wiki/Sea" title="Sea">sea</a>, <a href="/wiki/River" title="River">rivers</a> or <a href="/wiki/Lake" title="Lake">lakes</a>. In closed circuits, like <a href="/wiki/Cooling_tower" title="Cooling tower">cooling towers</a>, the ingress of macro fouling into the cooling tower basin is possible through open canals or by the wind. Sometimes, parts of the cooling tower internals detach themselves and are carried into the cooling water circuit. Such substances can foul the surfaces of heat exchangers and may cause deterioration of the relevant <a href="/wiki/Heat_transfer_coefficient" title="Heat transfer coefficient">heat transfer coefficient</a>. They may also create flow blockages, redistribute the flow inside the components, or cause <a href="/wiki/Fretting" title="Fretting">fretting</a> damage. </p> <dl><dt>Examples</dt> <dd></dd></dl> <ul><li>Manmade refuse;</li> <li>Detached internal parts of components;</li> <li>Tools and other "foreign objects" accidentally left after maintenance;</li> <li><a href="/wiki/Algae" title="Algae">Algae</a>;</li> <li><a href="/wiki/Mussel" title="Mussel">Mussels</a>;</li> <li><a href="/wiki/Leaf" title="Leaf">Leaves</a>, parts of plants up to entire <a href="/wiki/Trunk_(botany)" title="Trunk (botany)">trunks</a>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Micro_fouling">Micro fouling</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=3" title="Edit section: Micro fouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>As to micro fouling, distinctions are made between:<sup id="cite_ref-bott_7-0" class="reference"><a href="#cite_note-bott-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p> <ul><li>Scaling or precipitation fouling, as <a href="/wiki/Crystallization" title="Crystallization">crystallization</a> of solid <a href="/wiki/Salt_(chemistry)" title="Salt (chemistry)">salts</a>, <a href="/wiki/Oxide" title="Oxide">oxides</a>, and <a href="/wiki/Hydroxide" title="Hydroxide">hydroxides</a> from water <a href="/wiki/Solution_(chemistry)" title="Solution (chemistry)">solutions</a> (e.g., calcium carbonate or calcium sulfate)</li> <li><a href="/wiki/Particulate" class="mw-redirect" title="Particulate">Particulate</a> fouling, i.e., accumulation of particles, typically <a href="/wiki/Colloidal" class="mw-redirect" title="Colloidal">colloidal</a> particles, on a surface</li> <li>Corrosion fouling, i.e., in-situ growth of <a href="/wiki/Corrosion" title="Corrosion">corrosion</a> deposits, for example, magnetite on <a href="/wiki/Carbon_steel" title="Carbon steel">carbon steel</a> surfaces</li> <li>Chemical reaction fouling, for example, decomposition or polymerization of organic matter on heating surfaces</li> <li>Solidification fouling - when components of the flowing fluid with a high-melting point freeze onto a subcooled surface</li> <li><a href="/wiki/Biofouling" title="Biofouling">Biofouling</a>, like settlements of <a href="/wiki/Bacteria" title="Bacteria">bacteria</a> and algae</li> <li>Composite fouling, whereby fouling involves more than one foulant or fouling mechanism</li></ul> <div class="mw-heading mw-heading3"><h3 id="Precipitation_fouling">Precipitation fouling</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=4" title="Edit section: Precipitation fouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Limescale-in-pipe.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/06/Limescale-in-pipe.jpg/220px-Limescale-in-pipe.jpg" decoding="async" width="220" height="190" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/06/Limescale-in-pipe.jpg/330px-Limescale-in-pipe.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/06/Limescale-in-pipe.jpg/440px-Limescale-in-pipe.jpg 2x" data-file-width="936" data-file-height="807" /></a><figcaption><a href="/wiki/Limescale" title="Limescale">Limescale</a> buildup inside a pipe reduces liquid flow through the pipe and reduces thermal conduction from the liquid to the outer pipe shell. Both effects will reduce the pipe's overall thermal efficiency when used as a <a href="/wiki/Heat_exchanger" title="Heat exchanger">heat exchanger</a>.</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Boiler_scale_3.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/84/Boiler_scale_3.JPG/220px-Boiler_scale_3.JPG" decoding="async" width="220" height="165" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/84/Boiler_scale_3.JPG/330px-Boiler_scale_3.JPG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/84/Boiler_scale_3.JPG/440px-Boiler_scale_3.JPG 2x" data-file-width="2272" data-file-height="1704" /></a><figcaption>Extreme boiler pipe scale buildup</figcaption></figure> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Temperature_dependence_calcium_sulfate_solubility.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Temperature_dependence_calcium_sulfate_solubility.svg/400px-Temperature_dependence_calcium_sulfate_solubility.svg.png" decoding="async" width="400" height="309" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Temperature_dependence_calcium_sulfate_solubility.svg/600px-Temperature_dependence_calcium_sulfate_solubility.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c7/Temperature_dependence_calcium_sulfate_solubility.svg/800px-Temperature_dependence_calcium_sulfate_solubility.svg.png 2x" data-file-width="643" data-file-height="496" /></a><figcaption>Temperature dependence of the solubility of calcium sulfate (3 phases) in pure water. The water is pressurized so that it can be maintained in the liquid state at the elevated temperatures.</figcaption></figure> <p>Scaling or precipitation fouling involves <a href="/wiki/Crystallization" title="Crystallization">crystallization</a> of solid <a href="/wiki/Salt_(chemistry)" title="Salt (chemistry)">salts</a>, <a href="/wiki/Oxide" title="Oxide">oxides</a>, and <a href="/wiki/Hydroxide" title="Hydroxide">hydroxides</a> from <a href="/wiki/Solution_(chemistry)" title="Solution (chemistry)">solutions</a>. These are most often water solutions, but non-aqueous precipitation fouling is also known. Precipitation fouling is a very common problem in boilers and heat exchangers operating with <a href="/wiki/Hard_water" title="Hard water">hard water</a> and often results in <a href="/wiki/Limescale" title="Limescale">limescale</a>. </p><p>Through changes in temperature, or solvent <a href="/wiki/Evaporation" title="Evaporation">evaporation</a> or <a href="/wiki/Degasification" class="mw-redirect" title="Degasification">degasification</a>, the concentration of salts may exceed the <a href="/wiki/Supersaturation" title="Supersaturation">saturation</a>, leading to a <a href="/wiki/Precipitation_(chemistry)" title="Precipitation (chemistry)">precipitation</a> of solids (usually crystals). </p><p>As an example, the equilibrium between the readily soluble <a href="/wiki/Calcium_bicarbonate" title="Calcium bicarbonate">calcium bicarbonate</a> - always prevailing in natural water - and the poorly soluble <a href="/wiki/Calcium_carbonate" title="Calcium carbonate">calcium carbonate</a>, the following chemical equation may be written: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\ce {\mathsf {{Ca(HCO3)2}_{(aqueous)}->{CaCO3(v)}+{CO2}\!{\uparrow }+H2O}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <msubsup> <mrow class="MJX-TeXAtom-ORD"> <mtext mathvariant="sans-serif">Ca</mtext> <msubsup> <mrow class="MJX-TeXAtom-ORD"> <mo mathvariant="sans-serif" stretchy="false">(</mo> <msubsup> <mtext mathvariant="sans-serif">HCO</mtext> <mrow class="MJX-TeXAtom-ORD"> <mn mathvariant="sans-serif">3</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0pt" height="0pt" depth=".2em" /> </mrow> </msubsup> <mo mathvariant="sans-serif" stretchy="false">)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn mathvariant="sans-serif">2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0pt" height="0pt" depth=".2em" /> </mrow> </msubsup> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo mathvariant="sans-serif" stretchy="false">(</mo> <mtext mathvariant="sans-serif">aqueous</mtext> <mo mathvariant="sans-serif" stretchy="false">)</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0pt" height="0pt" depth=".2em" /> </mrow> </msubsup> <mo stretchy="false">⟶</mo> <mrow class="MJX-TeXAtom-ORD"> <msubsup> <mtext mathvariant="sans-serif">CaCO</mtext> <mrow class="MJX-TeXAtom-ORD"> <mn mathvariant="sans-serif">3</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0pt" height="0pt" depth=".2em" /> </mrow> </msubsup> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">↓</mo> </mrow> </mrow> <mo mathvariant="sans-serif">+</mo> <mrow class="MJX-TeXAtom-ORD"> <msubsup> <mtext mathvariant="sans-serif">CO</mtext> <mrow class="MJX-TeXAtom-ORD"> <mn mathvariant="sans-serif">2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0pt" height="0pt" depth=".2em" /> </mrow> </msubsup> </mrow> <mspace width="negativethinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">↑</mo> </mrow> <mo mathvariant="sans-serif">+</mo> <msubsup> <mtext mathvariant="sans-serif">H</mtext> <mrow class="MJX-TeXAtom-ORD"> <mn mathvariant="sans-serif">2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0pt" height="0pt" depth=".2em" /> </mrow> </msubsup> <mtext mathvariant="sans-serif">O</mtext> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\ce {\mathsf {{Ca(HCO3)2}_{(aqueous)}->{CaCO3(v)}+{CO2}\!{\uparrow }+H2O}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65ed8eac9f0512ddd92e95ff528ebf0e083e1f44" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:46.625ex; height:3.509ex;" alt="{\displaystyle {\ce {\mathsf {{Ca(HCO3)2}_{(aqueous)}->{CaCO3(v)}+{CO2}\!{\uparrow }+H2O}}}}"></span></dd></dl> <p>The calcium carbonate that forms through this reaction precipitates. Due to the temperature dependence of the reaction, and increasing volatility of CO<sub>2</sub> with increasing temperature, the scaling is higher at the hotter outlet of the heat exchanger than at the cooler inlet. </p><p>In general, the dependence of the salt <a href="/wiki/Solubility" title="Solubility">solubility</a> on temperature or presence of evaporation will often be the driving force for precipitation fouling. The important distinction is between salts with "normal" or "retrograde" dependence of solubility on temperature. Salts with the "normal" solubility increase their solubility with increasing temperature and thus will foul the cooling surfaces. Salts with "inverse" or "retrograde" solubility will foul the heating surfaces. An example of the temperature dependence of solubility is shown in the figure. Calcium sulfate is a common precipitation foulant of heating surfaces due to its retrograde solubility. </p><p>Precipitation fouling can also occur in the absence of heating or vaporization. For example, calcium sulfate decreases its solubility with decreasing pressure. This can lead to precipitation fouling of reservoirs and wells in oil fields, decreasing their productivity with time.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> Fouling of membranes in <a href="/wiki/Reverse_osmosis" title="Reverse osmosis">reverse osmosis</a> systems can occur due to differential solubility of barium sulfate in solutions of different <a href="/wiki/Ionic_strength" title="Ionic strength">ionic strength</a>.<sup id="cite_ref-memfoul_3-1" class="reference"><a href="#cite_note-memfoul-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> Similarly, precipitation fouling can occur because of solubility changes induced by other factors, e.g., liquid <a href="/wiki/Flash_evaporation" title="Flash evaporation">flashing</a>, liquid degassing, redox potential changes, or mixing of incompatible fluid streams. </p><p>The following lists some of the industrially common phases of precipitation fouling deposits observed in practice to form from aqueous solutions: </p> <ul><li><a href="/wiki/Calcium_carbonate" title="Calcium carbonate">Calcium carbonate</a> (<a href="/wiki/Calcite" title="Calcite">calcite</a>, <a href="/wiki/Aragonite" title="Aragonite">aragonite</a> usually at t > ~50 °C, or rarely <a href="/wiki/Vaterite" title="Vaterite">vaterite</a>);</li> <li><a href="/wiki/Calcium_sulfate" title="Calcium sulfate">Calcium sulfate</a> (<a href="/wiki/Anhydrite" title="Anhydrite">anhydrite</a>, <a href="/wiki/Plaster_of_Paris" class="mw-redirect" title="Plaster of Paris">hemihydrate</a>, <a href="/wiki/Gypsum" title="Gypsum">gypsum</a>);</li> <li><a href="/wiki/Calcium_oxalate" title="Calcium oxalate">Calcium oxalate</a> (e.g., beerstone);</li> <li><a href="/wiki/Barium_sulfate" title="Barium sulfate">Barium sulfate</a> (<a href="/wiki/Barite" class="mw-redirect" title="Barite">barite</a>);</li> <li><a href="/wiki/Magnesium_hydroxide" title="Magnesium hydroxide">Magnesium hydroxide</a> (<a href="/wiki/Brucite" title="Brucite">brucite</a>); <a href="/wiki/Magnesium_oxide" title="Magnesium oxide">magnesium oxide</a> (<a href="/wiki/Periclase" title="Periclase">periclase</a>);</li> <li><a href="/wiki/Silicate" title="Silicate">Silicates</a> (<a href="/wiki/Serpentine_group" class="mw-redirect" title="Serpentine group">serpentine</a>, <a href="/wiki/Aegirine" title="Aegirine">acmite</a>, <a href="/wiki/Gyrolite" title="Gyrolite">gyrolite</a>, <a href="/wiki/Gehlenite" title="Gehlenite">gehlenite</a>, amorphous <a href="/wiki/Silica" class="mw-redirect" title="Silica">silica</a>, <a href="/wiki/Quartz" title="Quartz">quartz</a>, <a href="/wiki/Cristobalite" title="Cristobalite">cristobalite</a>, <a href="/wiki/Pectolite" title="Pectolite">pectolite</a>, <a href="/wiki/Xonotlite" title="Xonotlite">xonotlite</a>);</li> <li><a href="/wiki/Aluminium_oxide_hydroxide" class="mw-redirect" title="Aluminium oxide hydroxide">Aluminium oxide hydroxides</a> (<a href="/wiki/Boehmite" title="Boehmite">boehmite</a>, <a href="/wiki/Gibbsite" title="Gibbsite">gibbsite</a>, <a href="/wiki/Diaspore" title="Diaspore">diaspore</a>, <a href="/wiki/Corundum" title="Corundum">corundum</a>);</li> <li><a href="/wiki/Aluminosilicate" title="Aluminosilicate">Aluminosilicates</a> (<a href="/wiki/Analcite" class="mw-redirect" title="Analcite">analcite</a>, <a href="/wiki/Cancrinite" title="Cancrinite">cancrinite</a>, <a href="/wiki/Noselite" class="mw-redirect" title="Noselite">noselite</a>);</li> <li>Copper (metallic <a href="/wiki/Copper" title="Copper">copper</a>, <a href="/wiki/Cuprite" title="Cuprite">cuprite</a>, <a href="/wiki/Tenorite" title="Tenorite">tenorite</a>);</li> <li>Phosphates (<a href="/wiki/Hydroxyapatite" title="Hydroxyapatite">hydroxyapatite</a>);</li> <li>Magnetite or <a href="/wiki/Nickel_ferrite" class="mw-redirect" title="Nickel ferrite">nickel ferrite</a> (NiFe<sub>2</sub>O<sub>4</sub>) from extremely pure, low-iron water.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup></li></ul> <p>The deposition rate by precipitation is often described by the following equations: </p> <dl><dd>Transport: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {dm}{dt}}=k_{t}(C_{b}-C_{i})}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>m</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> </mrow> </msub> <mo stretchy="false">(</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {dm}{dt}}=k_{t}(C_{b}-C_{i})}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b19dd5d62fe312d8a539ae67e45f55839ef22e0d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:18.939ex; height:5.509ex;" alt="{\displaystyle {\frac {dm}{dt}}=k_{t}(C_{b}-C_{i})}"></span></dd> <dd>Surface crystallisation: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {dm}{dt}}={k_{r}}(C_{i}-C_{e})^{n_{1}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>m</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> </mrow> <mo stretchy="false">(</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {dm}{dt}}={k_{r}}(C_{i}-C_{e})^{n_{1}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0b61c6add084673a43b438effec01c0a4c1232a2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:21.197ex; height:5.509ex;" alt="{\displaystyle {\frac {dm}{dt}}={k_{r}}(C_{i}-C_{e})^{n_{1}}}"></span></dd> <dd>Overall: <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {dm}{dt}}=k_{d}(C_{b}-C_{e})^{n_{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>m</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> <mo stretchy="false">(</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>−</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {dm}{dt}}=k_{d}(C_{b}-C_{e})^{n_{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/063d326e19bbfe235c6710ba66a8af958b2af23c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:21.453ex; height:5.509ex;" alt="{\displaystyle {\frac {dm}{dt}}=k_{d}(C_{b}-C_{e})^{n_{2}}}"></span></dd></dl> <p>where: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m}"></span> - mass of the material (per unit surface area), kg/m<sup>2</sup></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/65658b7b223af9e1acc877d848888ecdb4466560" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:0.84ex; height:2.009ex;" alt="{\displaystyle t}"></span> - time, s</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C_{b}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{b}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3cf365bf59c72d2c4836aaadcda126759f293318" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.599ex; height:2.509ex;" alt="{\displaystyle C_{b}}"></span> - concentration of the substance in the bulk of the fluid, kg/m<sup>3</sup></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C_{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cc49dc02c0ec8c86b67e7d10518ac791eda0bf22" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.461ex; height:2.509ex;" alt="{\displaystyle C_{i}}"></span> - concentration of the substance at the interface, kg/m<sup>3</sup></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C_{e}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>e</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{e}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1fe9ec6b8135de1abf331180c23848597d073463" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.66ex; height:2.509ex;" alt="{\displaystyle C_{e}}"></span> - equilibrium concentration of the substance at the conditions of the interface, kg/m<sup>3</sup></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n_{1},n_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{1},n_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e4c0513851e56ec97c37a3e9b89ab9256cfab135" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.932ex; height:2.009ex;" alt="{\displaystyle n_{1},n_{2}}"></span> - <a href="/wiki/Order_of_reaction" class="mw-redirect" title="Order of reaction">order of reaction</a> for the crystallization reaction and the overall deposition process, respectively, dimensionless</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k_{t},k_{r},k_{d}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k_{t},k_{r},k_{d}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/04bc80cda19b9926e368fc255716b43c5c172dfb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.593ex; height:2.509ex;" alt="{\displaystyle k_{t},k_{r},k_{d}}"></span> - kinetic rate constants for the transport, the surface reaction, and the overall deposition reaction, respectively; with the dimension of m/s (when <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n_{1}=n_{2}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{1}=n_{2}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5d47261fb30e00bd94d9d7a854e736f1e249b4e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.257ex; height:2.509ex;" alt="{\displaystyle n_{1}=n_{2}=1}"></span>)</dd></dl> <div class="mw-heading mw-heading3"><h3 id="Particulate_fouling">Particulate fouling</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=5" title="Edit section: Particulate fouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Fouling by particles suspended in water ("<a href="/wiki/Waste" title="Waste">crud</a>") or in gas progresses by a mechanism different than precipitation fouling. This process is usually most important for <a href="/wiki/Colloidal" class="mw-redirect" title="Colloidal">colloidal</a> particles, i.e., particles smaller than about 1 μm in at least one dimension (but which are much larger than atomic dimensions). Particles are transported to the surface by a number of mechanisms and there they can attach themselves, e.g., by <a href="/wiki/Flocculation" title="Flocculation">flocculation</a> or <a href="/wiki/Coagulation" title="Coagulation">coagulation</a>. Note that the attachment of colloidal particles typically involves electrical forces and thus the particle behaviour defies the experience from the macroscopic world. The probability of attachment is sometimes referred to as "<a href="/wiki/Sticking_probability" title="Sticking probability">sticking probability</a>", <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span>:<sup id="cite_ref-bott_7-1" class="reference"><a href="#cite_note-bott-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k_{d}=Pk_{t}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> <mo>=</mo> <mi>P</mi> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k_{d}=Pk_{t}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9ddea9ed4fe403a5d3b3e01934697de3fa1dfaff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.184ex; height:2.509ex;" alt="{\displaystyle k_{d}=Pk_{t}}"></span></dd></dl> <p>where <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k_{d}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k_{d}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6732fef901cdfc7d061f48004966b3cf2bedc566" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.303ex; height:2.509ex;" alt="{\displaystyle k_{d}}"></span> and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k_{t}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k_{t}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/352386366dcb1dcc184d82669513975561f2d2ae" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.037ex; height:2.509ex;" alt="{\displaystyle k_{t}}"></span> are the kinetic rate constants for deposition and transport, respectively. The value of <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>P</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b4dc73bf40314945ff376bd363916a738548d40a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.745ex; height:2.176ex;" alt="{\displaystyle P}"></span> for colloidal particles is a function of both the surface chemistry, geometry, and the local <a href="/wiki/Thermohydraulic" class="mw-redirect" title="Thermohydraulic">thermohydraulic</a> conditions. </p><p>An alternative to using the sticking probability is to use a kinetic attachment rate constant, assuming the first order reaction:<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {dm}{dt}}={k_{a}}C_{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>m</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mrow> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {dm}{dt}}={k_{a}}C_{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5c4f94dc6714a1435e8398734a7305de08208c72" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:11.965ex; height:5.509ex;" alt="{\displaystyle {\frac {dm}{dt}}={k_{a}}C_{i}}"></span></dd></dl> <p>and then the transport and attachment kinetic coefficients are combined as two processes occurring in series: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k_{d}=\left({\frac {1}{k_{a}}}+{\frac {1}{k_{t}}}\right)^{-1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> </mrow> </msub> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k_{d}=\left({\frac {1}{k_{a}}}+{\frac {1}{k_{t}}}\right)^{-1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f013d7554bf71d50c75d98d42393b304710561ca" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:20.019ex; height:6.509ex;" alt="{\displaystyle k_{d}=\left({\frac {1}{k_{a}}}+{\frac {1}{k_{t}}}\right)^{-1}}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {dm}{dt}}={k_{d}}C_{b}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>m</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> </mrow> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {dm}{dt}}={k_{d}}C_{b}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/03651f6887b7da007ed21dbaa370c7ff36eafcfc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:12.094ex; height:5.509ex;" alt="{\displaystyle {\frac {dm}{dt}}={k_{d}}C_{b}}"></span></dd></dl> <p>where: </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {dm}{dt}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>d</mi> <mi>m</mi> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {dm}{dt}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0c88b1c566f21495534c2a8d593d1aa2b422dae2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:4.092ex; height:5.509ex;" alt="{\displaystyle {\frac {dm}{dt}}}"></span> is the rate of the deposition by particles, kg m<sup>−2</sup> s<sup>−1</sup>,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k_{a},k_{t},k_{d}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>t</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k_{a},k_{t},k_{d}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/abbed6ef0786e13a9803441862d4f21a5732731d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.721ex; height:2.509ex;" alt="{\displaystyle k_{a},k_{t},k_{d}}"></span> are the kinetic rate constants for deposition, m/s,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C_{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cc49dc02c0ec8c86b67e7d10518ac791eda0bf22" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.461ex; height:2.509ex;" alt="{\displaystyle C_{i}}"></span> and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C_{b}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{b}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3cf365bf59c72d2c4836aaadcda126759f293318" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.599ex; height:2.509ex;" alt="{\displaystyle C_{b}}"></span> are the concentration of the particle foulant at the interface and in the bulk fluid, respectively; kg m<sup>−3</sup>.</li></ul> <p>Being essentially a <a href="/wiki/Surface_chemistry" class="mw-redirect" title="Surface chemistry">surface chemistry</a> phenomenon, this fouling mechanism can be very sensitive to factors that affect colloidal stability, e.g., <a href="/wiki/Zeta_potential" title="Zeta potential">zeta potential</a>. A maximum fouling rate is usually observed when the fouling particles and the substrate exhibit opposite electrical charge, or near the <a href="/wiki/Point_of_zero_charge" title="Point of zero charge">point of zero charge</a> of either of them. </p><p>Particles larger than those of colloidal dimensions may also foul e.g., by sedimentation ("sedimentation fouling") or straining in small-size openings. </p><p>With time, the resulting surface deposit may harden through processes collectively known as "deposit consolidation" or, colloquially, "aging". </p><p>The common particulate fouling deposits formed from aqueous suspensions include: </p> <ul><li><a href="/wiki/Iron_oxide" title="Iron oxide">iron oxides and iron oxyhydroxides</a> (<a href="/wiki/Magnetite" title="Magnetite">magnetite</a>, <a href="/wiki/Hematite" title="Hematite">hematite</a>, <a href="/wiki/Lepidocrocite" title="Lepidocrocite">lepidocrocite</a>, <a href="/wiki/Maghemite" title="Maghemite">maghemite</a>, <a href="/wiki/Goethite" title="Goethite">goethite</a>);</li> <li><a href="/wiki/Sedimentation" title="Sedimentation">Sedimentation</a> fouling by <a href="/wiki/Silt" title="Silt">silt</a> and other relatively coarse suspended matter.</li></ul> <p>Fouling by particles from gas <a href="/wiki/Aerosol" title="Aerosol">aerosols</a> is also of industrial significance. The particles can be either solid or liquid. The common examples can be fouling by <a href="/wiki/Flue_gas" title="Flue gas">flue gases</a>, or fouling of air-cooled components by dust in air. The mechanisms are discussed in article on <a href="/wiki/Deposition_(Aerosol_physics)" class="mw-redirect" title="Deposition (Aerosol physics)">aerosol deposition</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Corrosion_fouling">Corrosion fouling</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=6" title="Edit section: Corrosion fouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Corrosion deposits are created in-situ by the corrosion of the <a href="/wiki/Substrate_(materials_science)" title="Substrate (materials science)">substrate</a>. They are distinguished from fouling deposits, which form from material originating ex-situ. Corrosion deposits should not be confused with fouling deposits formed by ex-situ generated corrosion products. Corrosion deposits will normally have composition related to the composition of the substrate. Also, the geometry of the metal-oxide and oxide-fluid interfaces may allow practical distinction between the corrosion and fouling deposits. An example of corrosion fouling can be formation of an iron oxide or oxyhydroxide deposit from corrosion of the carbon steel underneath. Corrosion fouling should not be confused with fouling corrosion, i.e., any of the types of corrosion that may be induced by fouling. </p> <div class="mw-heading mw-heading3"><h3 id="Chemical_reaction_fouling">Chemical reaction fouling</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=7" title="Edit section: Chemical reaction fouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Chemical reactions may occur on contact of the chemical species in the process fluid with heat transfer surfaces. In such cases, the metallic surface sometimes acts as a <a href="/wiki/Catalyst" class="mw-redirect" title="Catalyst">catalyst</a>. For example, corrosion and <a href="/wiki/Polymerization" title="Polymerization">polymerization</a> occurs in cooling water for the chemical industry which has a minor content of hydrocarbons. Systems in petroleum processing are prone to polymerization of <a href="/wiki/Alkene" title="Alkene">olefins</a> or deposition of heavy fractions (<a href="/wiki/Asphaltene" title="Asphaltene">asphaltenes</a>, waxes, etc.). High tube wall temperatures may lead to <a href="/wiki/Carbonization" title="Carbonization">carbonizing</a> of organic matter. The food industry,<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> for example milk processing,<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> also experiences fouling problems by chemical reactions. </p><p>Fouling through an ionic reaction with an evolution of an inorganic solid is commonly classified as precipitation fouling (not chemical reaction fouling). </p> <div class="mw-heading mw-heading3"><h3 id="Solidification_fouling">Solidification fouling</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=8" title="Edit section: Solidification fouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Solidification fouling occurs when a component of the flowing fluid "freezes" onto a surface forming a solid fouling deposit. Examples may include solidification of wax (with a high melting point) from a hydrocarbon solution, or of molten ash (carried in a furnace exhaust gas) onto a heat exchanger surface. The surface needs to have a temperature below a certain threshold; therefore, it is said to be subcooled in respect to the solidification point of the foulant. </p> <div class="mw-heading mw-heading3"><h3 id="Biofouling">Biofouling</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=9" title="Edit section: Biofouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Biofouling" title="Biofouling">Biofouling</a></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Dreissena_polymorpha_PieceOfCanalLocks.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Dreissena_polymorpha_PieceOfCanalLocks.jpg/220px-Dreissena_polymorpha_PieceOfCanalLocks.jpg" decoding="async" width="220" height="210" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Dreissena_polymorpha_PieceOfCanalLocks.jpg/330px-Dreissena_polymorpha_PieceOfCanalLocks.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/38/Dreissena_polymorpha_PieceOfCanalLocks.jpg/440px-Dreissena_polymorpha_PieceOfCanalLocks.jpg 2x" data-file-width="1635" data-file-height="1560" /></a><figcaption>A fragment of a <a href="/wiki/Lock_(water_transport)" class="mw-redirect" title="Lock (water transport)">canal lock</a> in Northern France, covered with <a href="/wiki/Zebra_mussel" title="Zebra mussel">zebra mussels</a></figcaption></figure> <p><a href="/wiki/Biofouling" title="Biofouling">Biofouling</a> or biological fouling is the undesirable accumulation of micro-organisms, algae and <a href="/wiki/Diatoms" class="mw-redirect" title="Diatoms">diatoms</a>, plants, and animals on surfaces, such as ships and submarine hulls, or piping and reservoirs with untreated water. This can be accompanied by <a href="/wiki/Microbial_corrosion" title="Microbial corrosion">microbiologically influenced corrosion</a> (MIC). </p><p>Bacteria can form biofilms or slimes. Thus the organisms can aggregate on surfaces using colloidal hydrogels of water and extracellular polymeric substances (EPS) (<a href="/wiki/Polysaccharide" title="Polysaccharide">polysaccharides</a>, lipids, nucleic acids, etc.). The biofilm structure is usually complex. </p><p>Bacterial fouling can occur under either aerobic (with oxygen dissolved in water) or anaerobic (no oxygen) conditions. In practice, aerobic bacteria prefer open systems, when both oxygen and nutrients are constantly delivered, often in warm and sunlit environments. Anaerobic fouling more often occurs in closed systems when sufficient nutrients are present. Examples may include <a href="/wiki/Sulfate-reducing_bacteria" class="mw-redirect" title="Sulfate-reducing bacteria">sulfate-reducing bacteria</a> (or <a href="/wiki/Sulfur-reducing_bacteria" title="Sulfur-reducing bacteria">sulfur-reducing bacteria</a>), which produce sulfide and often cause corrosion of ferrous metals (and other alloys). Sulfide-oxidizing bacteria (e.g., <a href="/wiki/Acidithiobacillus" title="Acidithiobacillus">Acidithiobacillus</a>), on the other hand, can produce sulfuric acid, and can be involved in corrosion of concrete. </p><p><a href="/wiki/Zebra_mussel" title="Zebra mussel">Zebra mussels</a> serve as an example of larger animals that have caused widespread fouling in North America. </p> <div class="mw-heading mw-heading3"><h3 id="Composite_fouling">Composite fouling</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=10" title="Edit section: Composite fouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Composite fouling is common. This type of fouling involves more than one foulant or more than one fouling mechanism<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> working simultaneously. The multiple foulants or mechanisms may interact with each other resulting in a synergistic fouling which is not a simple arithmetic sum of the individual components.<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Fouling_on_Mars">Fouling on Mars</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=11" title="Edit section: Fouling on Mars"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>NASA <a href="/wiki/Mars_Exploration_Rover" title="Mars Exploration Rover">Mars Exploration Rovers</a> (<a href="/wiki/Spirit_rover" class="mw-redirect" title="Spirit rover">Spirit</a> and <a href="/wiki/Opportunity_rover" class="mw-redirect" title="Opportunity rover">Opportunity</a>) experienced (presumably) abiotic fouling of solar panels by dust particles from the Martian atmosphere.<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup> Some of the deposits subsequently <a href="/wiki/Cleaning_event" title="Cleaning event">spontaneously cleaned off</a>. This illustrates the universal nature of the fouling phenomena. </p> <div class="mw-heading mw-heading2"><h2 id="Quantification_of_fouling">Quantification of fouling</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=12" title="Edit section: Quantification of fouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The most straightforward way to quantify fairly uniform fouling is by stating the average deposit surface loading, i.e., kg of deposit per m<sup>2</sup> of surface area. The fouling rate will then be expressed in kg/m<sup>2</sup>s, and it is obtained by dividing the deposit surface loading by the effective operating time. The normalized fouling rate (also in kg/m<sup>2</sup>s) will additionally account for the concentration of the foulant in the process fluid (kg/kg) during preceding operations, and is useful for comparison of fouling rates between different systems. It is obtained by dividing the fouling rate by the foulant concentration. The fouling rate constant (m/s) can be obtained by dividing the normalized fouling rate by the mass density of the process fluid (kg/m<sup>3</sup>). </p><p>Deposit thickness (μm) and porosity (%) are also often used for description of fouling amount. The relative reduction of diameter of piping or increase of the <a href="/wiki/Surface_roughness" title="Surface roughness">surface roughness</a> can be of particular interest when the impact of fouling on pressure drop is of interest. </p><p>In heat transfer equipment, where the primary concern is often the effect of fouling on heat transfer, fouling can be quantified by the increase of the resistance to the flow of heat (m<sup>2</sup>K/W) due to fouling (termed "<a href="/wiki/Thermal_conductivity#Related_terms" class="mw-redirect" title="Thermal conductivity">fouling resistance</a>"), or by development of <a href="/wiki/Heat_transfer_coefficient" title="Heat transfer coefficient">heat transfer coefficient</a> (W/m<sup>2</sup>K) with time. </p><p>If under-deposit or <a href="/wiki/Crevice_corrosion" title="Crevice corrosion">crevice corrosion</a> is of primary concern, it is important to note non-uniformity of deposit thickness (e.g., deposit <a href="/wiki/Waviness" title="Waviness">waviness</a>), localized fouling, packing of confined regions with deposits, creation of occlusions, "crevices", "deposit tubercles",<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> or sludge piles. Such deposit structures can create environment for underdeposit corrosion of the substrate material, e.g., <a href="/wiki/Intergranular_corrosion" title="Intergranular corrosion">intergranular attack</a>, <a href="/wiki/Pitting_corrosion" title="Pitting corrosion">pitting</a>, <a href="/wiki/Stress_corrosion_cracking" title="Stress corrosion cracking">stress corrosion cracking</a>, or localized wastage. <a href="/wiki/Porosity" title="Porosity">Porosity</a> and <a href="/wiki/Permeation" title="Permeation">permeability</a> of the deposits will likely influence the probability of underdeposit corrosion. Deposit composition can also be important - even minor components of the deposits can sometimes cause severe corrosion of the underlying metal (e.g., vanadium in deposits of fired boilers causing <a href="/wiki/Hot_corrosion" class="mw-redirect" title="Hot corrosion">hot corrosion</a>). </p><p>There is no general rule on how much deposit can be tolerated, it depends on the system. In many cases, a deposit even a few micrometers thick can be troublesome. A deposit in a millimeter-range thickness will be of concern in almost any application. </p> <div class="mw-heading mw-heading2"><h2 id="Progress_of_fouling_with_time">Progress of fouling with time</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=13" title="Edit section: Progress of fouling with time"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Deposit on a surface does not always develop steadily with time. The following fouling scenarios can be distinguished, depending on the nature of the system and the local thermohydraulic conditions at the surface: </p> <ul><li><i><a href="/wiki/Induction_period" title="Induction period">Induction period</a></i> - Sometimes, a near-nil fouling rate is observed when the surface is new or very clean. This is often observed in biofouling and precipitation fouling. After the "induction period", the fouling rate increases.</li> <li><i>"Negative" fouling</i> - This can occur when fouling rate is quantified by monitoring heat transfer. Relatively small amounts of deposit can improve heat transfer, relative to clean surface, and give an appearance of "negative" fouling rate and negative total fouling amount. Negative fouling is often observed under nucleate-boiling heat-transfer conditions (deposit improves bubble nucleation) or forced-convection (if the deposit increases the surface roughness and the surface is no longer "hydraulically smooth"). After the initial period of "surface roughness control", the fouling rate usually becomes strongly positive.</li> <li><i>Linear fouling</i> - The fouling rate can be steady with time. This is a common case.</li> <li><i>Falling fouling</i> - In this scenario, the fouling rate decreases with time, but never drops to zero. The deposit thickness does not achieve a constant value. The progress of fouling can be often described by two numbers: the initial fouling rate (a <a href="/wiki/Tangent" title="Tangent">tangent</a> to the fouling curve at zero deposit loading or zero time) and the fouling rate after a long period of time (an <a href="/wiki/Oblique_asymptote" class="mw-redirect" title="Oblique asymptote">oblique asymptote</a> to the fouling curve).</li> <li><i>Asymptotic fouling</i> - Here, the fouling rate decreases with time, until it finally reaches zero. At this point, the deposit thickness remains constant with time (a horizontal <a href="/wiki/Asymptote" title="Asymptote">asymptote</a>). This is often the case for relatively soft or poorly adherent deposits in areas of fast flow. The asymptote is usually interpreted as the deposit loading at which the deposition rate equals the deposit removal rate.</li> <li><i>Accelerating fouling</i> - In this scenario, the fouling rate increases with time; the rate of deposit buildup accelerates with time (perhaps until it becomes transport limited). Mechanistically, this scenario can develop when fouling increases the surface roughness, or when the deposit surface exhibits higher chemical propensity to fouling than the pure underlying metal.</li> <li><i>Seesaw fouling</i> - Here, fouling loading generally increases with time (often assuming a generally linear or falling rate), but, when looked at in more detail, the fouling progress is periodically interrupted and takes the form of <a href="/wiki/Sawtooth_wave" title="Sawtooth wave">sawtooth curve</a>. The periodic sharp variations in the apparent fouling amount often correspond to the moments of system shutdowns, startups or other transients in operation. The periodic variations are often interpreted as periodic removal of some of the deposit (perhaps deposit re-suspension due to pressure pulses, spalling due thermal stresses, or exfoliation due to redox transients). Steam blanketing has been postulated to occur between the partially spalled deposits and the heat transfer surface. However, other reasons are possible, e.g., trapping of air inside the surface deposits during shutdowns, or inaccuracy of temperature measurements during transients ("temperature streaming").<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="Fouling_modelling">Fouling modelling</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=14" title="Edit section: Fouling modelling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Fouling_diagram.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/Fouling_diagram.png/220px-Fouling_diagram.png" decoding="async" width="220" height="230" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/67/Fouling_diagram.png/330px-Fouling_diagram.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/67/Fouling_diagram.png/440px-Fouling_diagram.png 2x" data-file-width="661" data-file-height="691" /></a><figcaption>Schematics of the fouling process consisting of simultaneous foulant deposition and deposit removal.</figcaption></figure> <p>Fouling of a system can be modelled as consisting of several steps: </p> <ul><li>Generation or ingress of the species that causes fouling ("foulant sourcing");</li> <li>Foulant transport with the stream of the process fluid (most often by <a href="/wiki/Advection" title="Advection">advection</a>);</li> <li>Foulant transport from the bulk of the process fluid to the fouling surface. This transport is often by <a href="/wiki/Diffusion" title="Diffusion">molecular</a> or <a href="/wiki/Eddy_diffusion" title="Eddy diffusion">turbulent-eddy diffusion</a>, but may also occur by inertial coasting/impaction, particle interception by the surface (for particles with finite sizes), <a href="/wiki/Electrophoresis" title="Electrophoresis">electrophoresis</a>, <a href="/wiki/Thermophoresis" title="Thermophoresis">thermophoresis</a>, <a href="/wiki/Diffusiophoresis" class="mw-redirect" title="Diffusiophoresis">diffusiophoresis</a>, <a href="/wiki/Stefan_flow" title="Stefan flow">Stefan flow</a> (in condensation and evaporation), <a href="/wiki/Sedimentation" title="Sedimentation">sedimentation</a>, <a href="/wiki/Magnus_force" class="mw-redirect" title="Magnus force">Magnus force</a> (acting on rotating particles), <a href="/wiki/Thermoelectric_effect" title="Thermoelectric effect">thermoelectric effect</a>,<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> and other mechanisms.</li> <li>Induction period, i.e., a near-nil fouling rate at the initial period of fouling<sup id="cite_ref-WarsingerFramework_22-0" class="reference"><a href="#cite_note-WarsingerFramework-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> (observed only for some fouling mechanisms);</li> <li>Foulant crystallisation on the surface (or attachment of the colloidal particle, or chemical reaction, or bacterial growth);</li> <li>Sometimes fouling autoretardation, i.e., reduction (or potentially enhancement) of crystallisation/attachment rate due to changes in the surface conditions caused by the fouling deposit;</li> <li>Deposit dissolution (or re-entrainment of loosely attached particles);</li> <li>Deposit consolidation on the surface (e.g., through <a href="/wiki/Ostwald_ripening" title="Ostwald ripening">Ostwald ripening</a> or differential solubility in temperature gradient) or <a href="/wiki/Cementation_(geology)" title="Cementation (geology)">cementation</a>, which account for deposit losing its porosity and becoming more tenacious with time;</li> <li>Deposit <a href="/wiki/Spallation" title="Spallation">spalling</a>, <a href="/wiki/Wear" title="Wear">erosion wear</a>, or <a href="/wiki/Exfoliation_joint" title="Exfoliation joint">exfoliation</a>.</li></ul> <p><a href="/wiki/Deposition_(chemistry)" title="Deposition (chemistry)">Deposition</a> consists of transport to the surface and subsequent attachment. Deposit removal is either through deposit dissolution, particle re-entrainment, or deposit spalling, erosive wear, or exfoliation. Fouling results from foulant generation, foulant deposition, deposit removal, and deposit consolidation. </p><p>For the modern model of fouling involving deposition with simultaneous deposit re-entrainment and consolidation,<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> the fouling process can be represented by the following scheme: </p><p>      [ rate of deposit accumulation ] = [ rate of deposition ] - [ rate of re-entrainment of unconsolidated deposit ] </p><p>      [ rate of accumulation of unconsolidated deposit ] = [ rate of deposition ] - [ rate of re-entrainment of unconsolidated deposit ] - [ rate of consolidation of unconsolidated deposit ] </p><p>Following the above scheme, the basic fouling equations can be written as follows (for steady-state conditions with flow, when concentration remains constant with time): </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{cases}{dm/dt}=k_{d}C_{m}\rho -\lambda _{r}m_{r}(t)\\{dm_{r}/dt}=k_{d}C_{m}\rho -\lambda _{r}m_{r}(t)-\lambda _{c}\cdot m_{r}(t)\end{cases}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>{</mo> <mtable columnalign="left left" rowspacing=".2em" columnspacing="1em" displaystyle="false"> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>d</mi> <mi>t</mi> </mrow> <mo>=</mo> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mi>ρ</mi> <mo>−</mo> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>d</mi> <mi>t</mi> </mrow> <mo>=</mo> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mi>ρ</mi> <mo>−</mo> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>−</mo> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msub> <mo>⋅</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mtd> </mtr> </mtable> <mo fence="true" stretchy="true" symmetric="true"></mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{cases}{dm/dt}=k_{d}C_{m}\rho -\lambda _{r}m_{r}(t)\\{dm_{r}/dt}=k_{d}C_{m}\rho -\lambda _{r}m_{r}(t)-\lambda _{c}\cdot m_{r}(t)\end{cases}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/848e303a8c3478d5174cb63b35cd647ada1c2923" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:43.198ex; height:6.176ex;" alt="{\displaystyle {\begin{cases}{dm/dt}=k_{d}C_{m}\rho -\lambda _{r}m_{r}(t)\\{dm_{r}/dt}=k_{d}C_{m}\rho -\lambda _{r}m_{r}(t)-\lambda _{c}\cdot m_{r}(t)\end{cases}}}"></span></dd></dl> <p>where: </p> <ul><li>m is the mass loading of the deposit (consolidated and unconsolidated) on the surface (kg/m<sup>2</sup>);</li> <li>t is time (s);</li> <li>k<sub>d</sub> is the deposition rate constant (m/s);</li> <li>ρ is the fluid density (kg/m<sup>3</sup>);</li> <li>C<sub>m</sub> - mass fraction of foulant in the fluid (kg/kg);</li> <li>λ<sub>r</sub> is the re-entrainment rate constant (1/s);</li> <li>m<sub>r</sub> is the mass loading of the removable (i.e., unconsolidated) fraction of the surface deposit (kg/m<sup>2</sup>); and</li> <li>λ<sub>c</sub> is the consolidation rate constant (1/s).</li></ul> <p>This system of equations can be integrated (taking that m = 0 and m<sub>r</sub> = 0 at t = 0) to the form: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m(t)={{k_{d}C_{m}\rho } \over {\lambda }}\left(t\lambda _{c}+{{\lambda _{r}} \over {\lambda }}\left(1-e^{-\lambda t}\right)\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msub> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mi>ρ</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>λ</mi> </mrow> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <mi>t</mi> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>c</mi> </mrow> </msub> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>λ</mi> </mrow> </mfrac> </mrow> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>λ</mi> <mi>t</mi> </mrow> </msup> </mrow> <mo>)</mo> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m(t)={{k_{d}C_{m}\rho } \over {\lambda }}\left(t\lambda _{c}+{{\lambda _{r}} \over {\lambda }}\left(1-e^{-\lambda t}\right)\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4887c60d271c8be498cd7f506a65315accf62b86" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:39.085ex; height:6.176ex;" alt="{\displaystyle m(t)={{k_{d}C_{m}\rho } \over {\lambda }}\left(t\lambda _{c}+{{\lambda _{r}} \over {\lambda }}\left(1-e^{-\lambda t}\right)\right)}"></span></dd></dl> <p>where λ = λ<sub>r</sub> + λ<sub>c</sub>. </p><p>This model reproduces either linear, falling, or asymptotic fouling, depending on the relative values of k, λ<sub>r</sub>, and λ<sub>c</sub>. The underlying physical picture for this model is that of a two-layer deposit consisting of consolidated inner layer and loose unconsolidated outer layer. Such a bi-layer deposit is often observed in practice. The above model simplifies readily to the older model of simultaneous deposition and re-entrainment<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> (which neglects consolidation) when λ<sub>c</sub>=0. In the absence of consolidation, the asymptotic fouling is always anticipated by this older model and the fouling progress can be described as: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m(t)=m^{*}\left(1-e^{-\lambda _{r}t}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msup> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>∗</mo> </mrow> </msup> <mrow> <mo>(</mo> <mrow> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <msub> <mi>λ</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>r</mi> </mrow> </msub> <mi>t</mi> </mrow> </msup> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m(t)=m^{*}\left(1-e^{-\lambda _{r}t}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8c372afc5bbf8d5e2e39391706c2ce1e30a483f3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:22.315ex; height:3.343ex;" alt="{\displaystyle m(t)=m^{*}\left(1-e^{-\lambda _{r}t}\right)}"></span></dd></dl> <p>where m<sup>*</sup> is the maximum (asymptotic) mass loading of the deposit on the surface (kg/m<sup>2</sup>). </p> <div class="mw-heading mw-heading2"><h2 id="Economic_and_environmental_importance_of_fouling">Economic and environmental importance of fouling</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=15" title="Edit section: Economic and environmental importance of fouling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Fouling03_en.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Fouling03_en.jpg/290px-Fouling03_en.jpg" decoding="async" width="290" height="214" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Fouling03_en.jpg/435px-Fouling03_en.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Fouling03_en.jpg/580px-Fouling03_en.jpg 2x" data-file-width="770" data-file-height="567" /></a><figcaption>Cost relations between the individual types of fouling</figcaption></figure> <p>Fouling is ubiquitous and generates tremendous operational losses, not unlike corrosion. For example, one estimate puts the losses due to fouling of heat exchangers in industrialized nations to be about 0.25% of their <a href="/wiki/Gross_domestic_product" title="Gross domestic product">GDP</a>.<sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> Another analysis<sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> estimated (for 2006) the economical loss due to boiler and turbine fouling in China utilities at 4.68 billion dollars, which is about 0.169% the country GDP. </p><p>The losses initially result from impaired heat transfer, <a href="/wiki/Corrosion" title="Corrosion">corrosion</a> damage (in particular under-deposit and <a href="/wiki/Crevice_corrosion" title="Crevice corrosion">crevice corrosion</a>), increased pressure drop, flow blockages, flow redistribution inside components, flow instabilities, induced vibrations (possibly leading to other problems, e.g., <a href="/wiki/Fatigue_(material)" title="Fatigue (material)">fatigue</a><sup id="cite_ref-27" class="reference"><a href="#cite_note-27"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup>), <a href="/wiki/Fretting" title="Fretting">fretting</a>, premature failure of electrical heating elements, and a large number of other often unanticipated problems. In addition, the <a href="/wiki/Ecological" class="mw-redirect" title="Ecological">ecological</a> costs should be (but typically are not) considered. The ecological costs arise from the use of <a href="/wiki/Biocide" title="Biocide">biocides</a> for the avoidance of biofouling, from the increased <a href="/wiki/Fuel" title="Fuel">fuel</a> input to compensate for the reduced output caused by fouling, and an increased use of cooling water in once-through cooling systems. </p><p>For example, "normal" fouling at a conventionally fired 500 <a href="/wiki/Watt" title="Watt">MW</a> (net electrical power) <a href="/wiki/Power_station" title="Power station">power station</a> unit accounts for output losses of the <a href="/wiki/Steam_turbine" title="Steam turbine">steam turbine</a> of 5 MW and more. In a 1,300 MW <a href="/wiki/Nuclear_power" title="Nuclear power">nuclear power</a> station, typical losses could be 20 MW and up (up to 100% if the station shuts down due to fouling-induced component degradation). In seawater <a href="/wiki/Desalination" title="Desalination">desalination</a> plants, fouling may reduce the gained output ratio by two-digit percentages (the gained output ratio is an equivalent that puts the mass of generated distillate in relation to the steam used in the process). The extra electrical consumption in <a href="/wiki/Gas_compressor" class="mw-redirect" title="Gas compressor">compressor</a>-operated coolers is also easily in the two-digit area. In addition to the operational costs, also the <a href="/wiki/Capital_cost" title="Capital cost">capital cost</a> increases because the heat exchangers have to be designed in larger sizes to compensate for the heat-transfer loss due to fouling. To the output losses listed above, one needs to add the cost of down-time required to inspect, clean, and repair the components (millions of dollars per day of shutdown in lost revenue in a typical power plant), and the cost of actually doing this maintenance. Finally, fouling is often a <a href="/wiki/Root_cause_analysis" title="Root cause analysis">root cause</a> of serious degradation problems that may limit the life of components or entire plants. </p> <div class="mw-heading mw-heading2"><h2 id="Fouling_control">Fouling control</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=16" title="Edit section: Fouling control"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The most fundamental and usually preferred method of controlling fouling is to prevent the ingress of the fouling species into the cooling water circuit. In <a href="/wiki/Power_station" title="Power station">steam power stations</a> and other major industrial installations of <a href="/wiki/Water" title="Water">water</a> <a href="/wiki/Technology" title="Technology">technology</a>, macro fouling is avoided by way of pre-<a href="/wiki/Filtration" title="Filtration">filtration</a> and cooling water <a href="/wiki/Filter_(water)" class="mw-redirect" title="Filter (water)">debris filters</a>. Some plants employ foreign-object exclusion program (to eliminate the possibility of salient introduction of unwanted materials, e.g., forgetting tools during maintenance). Acoustic monitoring is sometimes employed to monitor for fretting by detached parts. In the case of micro fouling, water purification is achieved with extensive methods of water treatment, <a href="/wiki/Microfiltration" title="Microfiltration">microfiltration</a>, <a href="/wiki/Artificial_membrane" class="mw-redirect" title="Artificial membrane">membrane</a> technology (<a href="/wiki/Reverse_osmosis" title="Reverse osmosis">reverse osmosis</a>, <a href="/wiki/Electrodeionization" title="Electrodeionization">electrodeionization</a>) or <a href="/wiki/Ion-exchange_resins" class="mw-redirect" title="Ion-exchange resins">ion-exchange resins</a>. The generation of the corrosion products in the water piping systems is often minimized by controlling the <a href="/wiki/PH" title="PH">pH</a> of the process fluid (typically alkalinization with <a href="/wiki/Ammonia" title="Ammonia">ammonia</a>, <a href="/wiki/Morpholine" title="Morpholine">morpholine</a>, <a href="/wiki/Ethanolamine" title="Ethanolamine">ethanolamine</a> or <a href="/wiki/Sodium_phosphate" title="Sodium phosphate">sodium phosphate</a>), control of oxygen dissolved in water (for example, by addition of <a href="/wiki/Hydrazine" title="Hydrazine">hydrazine</a>), or addition of <a href="/wiki/Corrosion_inhibitor" title="Corrosion inhibitor">corrosion inhibitors</a>. </p><p>For water systems at relatively low temperatures, the applied <a href="/wiki/Biocide" title="Biocide">biocides</a> may be classified as follows: <a href="/wiki/Inorganic" class="mw-redirect" title="Inorganic">inorganic</a> <a href="/wiki/Chlorine" title="Chlorine">chlorine</a> and <a href="/wiki/Bromide" title="Bromide">bromide</a> compounds, chlorine and bromide <a href="/wiki/Bond_cleavage" title="Bond cleavage">cleavers</a>, <a href="/wiki/Ozone" title="Ozone">ozone</a> and <a href="/wiki/Oxygen" title="Oxygen">oxygen</a> cleavers, unoxidizable <a href="/wiki/Biocide" title="Biocide">biocides</a>. One of the most important unoxidizable biocides is a mixture of chloromethyl-isothiazolinone and <a href="/wiki/Methyl" class="mw-redirect" title="Methyl">methyl</a>-isothiazolinone. Also applied are dibrom nitrilopropionamide and quaternary <a href="/wiki/Ammonium" title="Ammonium">ammonium</a> compounds. For underwater ship hulls <a href="/wiki/Bottom_paint" class="mw-redirect" title="Bottom paint">bottom paints</a> are applied. </p><p><a href="/wiki/Chemical_fouling_inhibitors" title="Chemical fouling inhibitors">Chemical fouling inhibitors</a><sup id="cite_ref-28" class="reference"><a href="#cite_note-28"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> can reduce fouling in many systems, mainly by interfering with the crystallization, attachment, or consolidation steps of the fouling process. Examples for water systems are: <a href="/wiki/Chelating_agent" class="mw-redirect" title="Chelating agent">chelating agents</a> (for example, <a href="/wiki/EDTA" class="mw-redirect" title="EDTA">EDTA</a>), long-chain aliphatic amines or <a href="/wiki/Polyamine" title="Polyamine">polyamines</a> (for example, <a href="/w/index.php?title=Octadecylamine&action=edit&redlink=1" class="new" title="Octadecylamine (page does not exist)">octadecylamine</a>, <a href="/wiki/Helamin" class="mw-redirect" title="Helamin">helamin</a>, and other "film-forming" amines), organic <a href="/wiki/Phosphonic_acid" class="mw-redirect" title="Phosphonic acid">phosphonic acids</a> (for example, <a href="/wiki/Etidronic_acid" title="Etidronic acid">etidronic acid</a>), or <a href="/wiki/Polyelectrolyte" title="Polyelectrolyte">polyelectrolytes</a> (for example, <a href="/wiki/Polyacrylic_acid" title="Polyacrylic acid">polyacrylic acid</a>,<sup id="cite_ref-29" class="reference"><a href="#cite_note-29"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup> polymethacrylic acid, usually with a molecular weight lower than 10000). For fired boilers, aluminum or magnesium additives can lower the melting point of ash and promote creation of deposits which are easier to remove. See also <a href="/wiki/Process_chemicals" class="mw-redirect" title="Process chemicals">process chemicals</a>. </p><p><a href="/wiki/Magnetic_water_treatment" title="Magnetic water treatment">Magnetic water treatment</a> has been a subject of controversy as to its effectiveness for fouling control since the 1950s. The prevailing opinion is that it simply "does not work".<sup id="cite_ref-30" class="reference"><a href="#cite_note-30"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup> Nevertheless, some studies suggest that it may be effective under some conditions to reduce buildup of calcium carbonate deposits.<sup id="cite_ref-31" class="reference"><a href="#cite_note-31"><span class="cite-bracket">[</span>31<span class="cite-bracket">]</span></a></sup> </p><p>On the component design level, fouling can often (but not always) be minimized by maintaining a relatively high (for example, 2 m/s) and uniform fluid velocity throughout the component. Stagnant regions need to be eliminated. Components are normally overdesigned to accommodate the fouling anticipated between cleanings. However, a significant overdesign can be a design error because it may lead to increased fouling due to reduced velocities. Periodic on-line pressure pulses or backflow can be effective if the capability is carefully incorporated at the design time. <a href="/wiki/Boiler#Boiler_fittings" title="Boiler">Blowdown</a> capability is always incorporated into steam generators or evaporators to control the accumulation of non-volatile impurities that cause or aggravate fouling. <a href="/wiki/Ultra-low_fouling" title="Ultra-low fouling">Low-fouling surfaces</a> (for example, very smooth, <a href="/wiki/Ion_implantation" title="Ion implantation">implanted with ions</a>, or of low surface energy like <a href="/wiki/PTFE" class="mw-redirect" title="PTFE">Teflon</a>) are an option for some applications. Modern components are typically required to be designed for ease of inspection of internals and periodic cleaning. On-line fouling monitoring systems are designed for some application so that blowing or cleaning can be applied before unpredictable shutdown is necessary or damage occurs. </p><p>Chemical or mechanical cleaning processes for the removal of deposits and scales are recommended when fouling reaches the point of impacting the system performance or an onset of significant fouling-induced degradation (e.g., by corrosion). These processes comprise pickling with <a href="/wiki/Acid" title="Acid">acids</a> and <a href="/wiki/Chelate" class="mw-redirect" title="Chelate">complexing agents</a>, cleaning with high-velocity water jets ("water lancing"), recirculating ("blasting") with metal, sponge or other balls, or propelling offline mechanical "bullet-type" tube cleaners. Whereas chemical cleaning causes environmental problems through the handling, application, storage and disposal of chemicals, the mechanical cleaning by means of circulating cleaning balls or offline "bullet-type" cleaning can be an <a href="/wiki/Environmentally_friendlier" class="mw-redirect" title="Environmentally friendlier">environmentally friendlier</a> alternative. In some heat-transfer applications, mechanical mitigation with <a href="/wiki/Dynamic_scraped_surface_heat_exchanger" title="Dynamic scraped surface heat exchanger">dynamic scraped surface heat exchangers</a> is an option. Also ultrasonic or <a href="/wiki/Wear#Abrasive_wear" title="Wear">abrasive</a> cleaning methods are available for many specific applications. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=17" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1184024115">.mw-parser-output .div-col{margin-top:0.3em;column-width:30em}.mw-parser-output .div-col-small{font-size:90%}.mw-parser-output .div-col-rules{column-rule:1px solid #aaa}.mw-parser-output .div-col dl,.mw-parser-output .div-col ol,.mw-parser-output .div-col ul{margin-top:0}.mw-parser-output .div-col li,.mw-parser-output .div-col dd{page-break-inside:avoid;break-inside:avoid-column}</style><div class="div-col" style="column-width: 22em;"> <ul><li><a href="/wiki/International_Convention_on_the_Control_of_Harmful_Anti-fouling_Systems_on_Ships" title="International Convention on the Control of Harmful Anti-fouling Systems on Ships">International Convention on the Control of Harmful Anti-fouling Systems on Ships</a></li> <li><a href="/wiki/Oilfield_scale_inhibition" title="Oilfield scale inhibition">Oilfield scale inhibition</a></li> <li><a href="/wiki/Particle_deposition" title="Particle deposition">Particle deposition</a></li> <li><a href="/wiki/Steam_generator_(nuclear_power)" title="Steam generator (nuclear power)">Steam generator (nuclear power)</a></li> <li><a href="/wiki/Tube_cleaning" title="Tube cleaning">Tube cleaning</a></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=18" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist reflist-columns references-column-width" style="column-width: 30em;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFLøgeBentzonKlingaaWalther2022" class="citation journal cs1">Løge, Isaac A.; Bentzon, Jakob R.; Klingaa, Christopher G.; Walther, Jens H.; Anabaraonye, Benaiah U.; Fosbøl, Philip L. (February 2022). <a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.cej.2021.132583">"Scale attachment and detachment: The role of hydrodynamics and surface morphology"</a>. <i>Chemical Engineering Journal</i>. <b>430</b>: 132583. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.cej.2021.132583">10.1016/j.cej.2021.132583</a></span>. <a href="/wiki/Hdl_(identifier)" class="mw-redirect" title="Hdl (identifier)">hdl</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://hdl.handle.net/20.500.11850%2F517338">20.500.11850/517338</a></span>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:240007081">240007081</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Chemical+Engineering+Journal&rft.atitle=Scale+attachment+and+detachment%3A+The+role+of+hydrodynamics+and+surface+morphology&rft.volume=430&rft.pages=132583&rft.date=2022-02&rft_id=info%3Ahdl%2F20.500.11850%2F517338&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A240007081%23id-name%3DS2CID&rft_id=info%3Adoi%2F10.1016%2Fj.cej.2021.132583&rft.aulast=L%C3%B8ge&rft.aufirst=Isaac+A.&rft.au=Bentzon%2C+Jakob+R.&rft.au=Klingaa%2C+Christopher+G.&rft.au=Walther%2C+Jens+H.&rft.au=Anabaraonye%2C+Benaiah+U.&rft.au=Fosb%C3%B8l%2C+Philip+L.&rft_id=https%3A%2F%2Fdoi.org%2F10.1016%252Fj.cej.2021.132583&rfr_id=info%3Asid%2Fen.wikipedia.org%3AFouling" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text">"Marine fouling and its prevention"; prepared for Bureau of Ships, Navy Dept, Woods Hole Oceanographic Institution, United States, Navy Dept. Bureau of Ship, 1952. <a rel="nofollow" class="external text" href="https://darchive.mblwhoilibrary.org/handle/1912/191">(pdf)</a></span> </li> <li id="cite_note-memfoul-3"><span class="mw-cite-backlink">^ <a href="#cite_ref-memfoul_3-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-memfoul_3-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Siobhán Francesca E. Boerlage, "Scaling and Particulate Fouling in Membrane Filtration Systems", Taylor & Francis; 2001, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/90-5809-242-9" title="Special:BookSources/90-5809-242-9">90-5809-242-9</a> <a rel="nofollow" class="external text" href="https://books.google.com/books?id=SqHUSd3vk1oC&pg=PP1">(Google books)</a></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text">Joshua M. Hawkes, "The Simulation and Study of Conditions Leading to Axial Offset Anomaly in Pressurized Water Reactors", Georgia Institute of Technology Master of Science Thesis, December 2004. <a rel="nofollow" class="external text" href="http://etd.gatech.edu/theses/available/etd-11162004-143152/unrestricted/hawkes_joshua_m_200412_mast.pdf">(pdf)</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20060917121542/http://etd.gatech.edu/theses/available/etd-11162004-143152/unrestricted/hawkes_joshua_m_200412_mast.pdf">Archived</a> 2006-09-17 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text">"Spark Plug Faces", brochure "Bosch Spark Plugs 0307", Part 1 <a rel="nofollow" class="external text" href="http://www.boschautoparts.com/Technical%20Resources/Spark%20Plugs/SparkPlugFaces.pdf">(pdf)</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20091229143026/http://www.boschautoparts.com/Technical%20Resources/Spark%20Plugs/SparkPlugFaces.pdf">Archived</a> 2009-12-29 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text">G.A. Mansoori "Physicochemical Basis of Arterial Blockage / Fouling. Prediction and Prevention." Department of Chemical Engineering, University of Illinois at Chicago, on-line publication, September 2001 <a rel="nofollow" class="external text" href="http://www.uic.edu/labs/trl/PhysicochemicalBasisOfFouling.pdf">(pdf)</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20100530224513/http://www.uic.edu/labs/trl/PhysicochemicalBasisOfFouling.pdf">Archived</a> 2010-05-30 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-bott-7"><span class="mw-cite-backlink">^ <a href="#cite_ref-bott_7-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-bott_7-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">T.R. Bott, "Fouling of Heat Exchangers (Chemical Engineering Monographs)", Elsevier Science, 1995.</span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text">J. Moghadasi, H. Müller-Steinhagen, M. Jamialahmadi, and A. Sharif, "Scale Deposition in Porous Media and their Removal by EDTA Injection ", ECI Engineering Conferences International Symposium Series, Heat Exchanger Fouling and Cleaning VII, July 1–6, 2007 - Tomar, Portugal. <a rel="nofollow" class="external text" href="http://services.bepress.com/cgi/viewcontent.cgi?article=1009&context=eci/heatexchanger2007">(pdf)</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20090512042917/http://services.bepress.com/cgi/viewcontent.cgi?article=1009&context=eci%2Fheatexchanger2007">Archived</a> 2009-05-12 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text">"Modeling PWR Fuel Corrosion Product Deposition and Growth Processes (5)", Technical Report 1009734, Electric Power Research Institute, Palo Alto, California, USA, 2004.</span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRuckensteinPrieve1973" class="citation journal cs1">Ruckenstein, Eli; Prieve, Dennis C. 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Szkatula, M. Balanda, M. Kopec, "Magnetic treatment of industrial water. Silica activation". Eur. Phys. J.Applied Physics, 1, vol. 18, p. 41-49, 2002 <a rel="nofollow" class="external text" href="http://www.epjap.org/index.php?option=article&access=doi&doi=10.1051/epjap:2002025">(abstract)</a><sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a href="/wiki/Wikipedia:Link_rot" title="Wikipedia:Link rot"><span title=" Dead link tagged January 2018">permanent dead link</span></a></i><span style="visibility:hidden; color:transparent; padding-left:2px">‍</span>]</span></sup></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fouling&action=edit&section=19" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20110616100750/http://www3.imperial.ac.uk/crudeoilfouling">Crude Oil Fouling research</a></li> <li><a rel="nofollow" class="external autonumber" href="https://www.bridgersci.com/documents/reference%20documents/DATS%20data%20sample.pdf">[1]</a></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Fouling&oldid=1218749791">https://en.wikipedia.org/w/index.php?title=Fouling&oldid=1218749791</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Categories</a>: <ul><li><a href="/wiki/Category:Fouling" title="Category:Fouling">Fouling</a></li><li><a href="/wiki/Category:Filters" title="Category:Filters">Filters</a></li><li><a href="/wiki/Category:Hydraulic_engineering" title="Category:Hydraulic engineering">Hydraulic engineering</a></li><li><a href="/wiki/Category:Transport_phenomena" title="Category:Transport phenomena">Transport phenomena</a></li><li><a href="/wiki/Category:Water_technology" title="Category:Water technology">Water technology</a></li><li><a href="/wiki/Category:Water_treatment" title="Category:Water treatment">Water treatment</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden categories: <ul><li><a href="/wiki/Category:Webarchive_template_wayback_links" title="Category:Webarchive template wayback links">Webarchive template wayback links</a></li><li><a href="/wiki/Category:All_articles_with_dead_external_links" title="Category:All articles with dead external links">All articles with dead external links</a></li><li><a href="/wiki/Category:Articles_with_dead_external_links_from_January_2018" title="Category:Articles with dead external links from January 2018">Articles with dead external links from January 2018</a></li><li><a href="/wiki/Category:Articles_with_permanently_dead_external_links" title="Category:Articles with permanently dead external links">Articles with permanently dead external links</a></li><li><a href="/wiki/Category:Articles_with_short_description" title="Category:Articles with short description">Articles with short description</a></li><li><a href="/wiki/Category:Short_description_is_different_from_Wikidata" title="Category:Short description is different from Wikidata">Short description is different from Wikidata</a></li><li><a href="/wiki/Category:Articles_needing_additional_references_from_November_2008" title="Category:Articles needing additional references from November 2008">Articles needing additional references from November 2008</a></li><li><a href="/wiki/Category:All_articles_needing_additional_references" title="Category:All articles needing additional references">All articles needing additional references</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last edited on 13 April 2024, at 16:18<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. 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