Effects of Hydrodynamic Slip on Rotating Magneto-Electro-Osmotic Flow through a Periodic Microfluidic System

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Duchamp; citation_volume=59; citation_issue=4; citation_publication_date=2010/2; citation_pages=1462-1472; citation_doi=10.1016/j.camwa.2009.11.005" /> <meta name="person" content="Mohammed Abdulhameed, Dauda Gulibur Yakubu, Garba Tahiru Adamu" /> <meta name="description" content="The study is concerned with the effects of slip velocity on a non-uniform rotating electroosmotic flow in a micro-channel. Electroosmotic driven fluid flow is obtained by the application of a potential electric field which describes the nonlinear Poisson-Boltzmann equation. The external electric potential is applied along the x and y directions which provides the necessary driving force for the electroosmotic flow. Two semi analytical techniques were employed to obtain the solution of the nonlinear Poisson-Boltzmann equation. The first method incorporates the complex normalized function into the Laplace transform and the second method is the combination of the Laplace transform and D’Alembert technique. Further, the complex normalized function became difficult to invert in closed form, hence we resort to the use of numerical procedure based on the Stehfest's algorithm. The graphical solutions to the axial velocities on both x and y components have been obtained and analyzed for the effects of the slip parameter and the amplitude of oscillation of the micro-channel walls. The solutions show that the rotating electroosmotic flow profile and the flow rate greatly depend on time, rotating parameter and the electrokinetic width. The results also indicate that the applied electric field and the electroosmotic force, play vital role on the velocity distribution in the micro-channel. The fact is that the solutions obtained in this study synthesize most of the solutions available in the previous studies. Finally, this study will be relevant in biological applications particularly in pumping mechanism to help transport substances within different parts of the systems." /> <meta name="keywords" content="Electric Field, Electroosmotic Flow, Magnetic Field, Micro-Channel, Slip Velocity" /> <meta name="copyright" content="2021 Trans Tech Publications Ltd. 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class="bread-crumbs-second">Effects of Hydrodynamic Slip on Rotating...</span></div> <div class="page-name-block underline-begin"> <h1 class="page-name-block-text">Effects of Hydrodynamic Slip on Rotating Magneto-Electro-Osmotic Flow through a Periodic Microfluidic System</h1> </div> <div class="paper-statistics"> <div class="loading"> <i class="inline-icon download-and-visitor-statistics-icon"></i> <span class="normal-text" id="paperDownloadsAndVisitorsCount"></span> </div> </div> <div class="clearfix"></div> <div class="page-paper-title"> <div class="preview-block"> <img alt="Article Preview" width="128" height="180" src="/DDF.409.67/thumbnail.gif"> <div id="preview-button" data-url-preview-log="/Paper/PreviewImageLog?paperId=566349"> <i class="inline-icon preview-icon"></i> </div>  <div id="paper-preview-modal" class="modal fade"> <div class="modal-dialog" role="document"> <div class="popup-page-name underline-begin"> <div class="page-name-block-text">Article Preview</div> </div> <img alt="Article Preview" class="preview-image lazyload" data-src="/DDF.409.67/preview.gif"> <a data-dismiss="modal" title="Close" class="inline-icon close-icon"></a> </div> </div>  </div> <div class="abstract-block-description"> <h3 class="page-paper-first-header">Abstract:</h3> <p class="normal-text"> The study is concerned with the effects of slip velocity on a non-uniform rotating electroosmotic flow in a micro-channel. Electroosmotic driven fluid flow is obtained by the application of a potential electric field which describes the nonlinear Poisson-Boltzmann equation. The external electric potential is applied along the <i>x </i>and y directions which provides the necessary driving force for the electroosmotic flow. Two semi analytical techniques were employed to obtain the solution of the nonlinear Poisson-Boltzmann equation. The first method incorporates the complex normalized function into the Laplace transform and the second method is the combination of the Laplace transform and D’Alembert technique. Further, the complex normalized function became difficult to invert in closed form, hence we resort to the use of numerical procedure based on the Stehfest's algorithm. The graphical solutions to the axial velocities on both <i>x</i> and <i>y</i> components have been obtained and analyzed for the effects of the slip parameter and the amplitude of oscillation of the micro-channel walls. The solutions show that the rotating electroosmotic flow profile and the flow rate greatly depend on time, rotating parameter and the electrokinetic width. The results also indicate that the applied electric field and the electroosmotic force, play vital role on the velocity distribution in the micro-channel. The fact is that the solutions obtained in this study synthesize most of the solutions available in the previous studies. Finally, this study will be relevant in biological applications particularly in pumping mechanism to help transport substances within different parts of the systems. </p> </div> <div class="paper-access-buttons col-xs-12"> <div class="row"> <div class="sa-button-wrap"> <a id="sa-button" class="wayfinder-login d-flex sa-button" href="javascript:;"> <div class="sa-button-logo-wrap"> <i class="inline-icon sa-white"></i> </div> <div class="d-flex justify-content-center align-items-center sa-button-text text-truncate"> <div class="sa-button-text-primary text-truncate">Access through your institution</div> </div> </a> </div> <div class="title-button-pdf"> <button id="readPaperButton" data-url-read-paper-log="/Paper/ReadThePaperLog?paperId=566349" class="button button-160"> <span class="inline-element">Read The Paper</span> </button> </div> </div> <div class="row"> </div> </div> <div class="clearfix"></div> <div class="connected-title-container"> <div class="connected-title-text 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href="/author-papers/mohammed-abdulhameed-1">Mohammed Abdulhameed</a>, <a class="inline-icon mail-icon-red author-send-message" href="#" data-url="/Paper/_Message?paperId=566349&personId=1609920&urlSent=https%3A%2F%2Fwww.scientific.net%2FDDF.409.67" title="Send message to Corresponding Author"> </a> <a href="/author-papers/d-g-yakubu">Dauda Gulibur Yakubu</a>*, <a href="/author-papers/g-t-adamu">Garba Tahiru Adamu</a> </div> </div> </div> </div> <div class="papers-block-info col-lg-12"> <div class="row"> <div class="info-row-name normal-text-gray col-md-2 col-sm-3 col-xs-4"> <div class="row"> <p>Keywords:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <a href="/paper-keyword/electric-field">Electric Field</a>, <a href="/paper-keyword/electroosmotic-flow">Electroosmotic Flow</a>, <a href="/paper-keyword/magnetic-field">Magnetic Field</a>, <a href="/paper-keyword/micro-channel">Micro-Channel</a>, <a 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