Modelling and Simulation of Resin Transfer Moulding: A Finite Volume Approach Applied to the Mold Filling Stage

<!DOCTYPE html> <html lang="en" dir="ltr"> <head> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=device-width, initial-scale=1.0" /> <meta charset="utf-8"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <link rel="canonical" href="https://www.scientific.net/DDF.353.67" /> <meta property="og:title" content="Modelling and Simulation of Resin Transfer Moulding: A Finite Volume Approach Applied to the Mold Filling Stage | Scientific.Net" /> <meta property="og:type" content="website" /> <meta property="og:url" content="https://www.scientific.net/DDF.353.67" /> <meta property="og:image" content="/Content/app/scinet5/images/metadata_logo.png" /> <meta property="og:image:type" content="image/png" /> <meta property="og:image:width" content="261" /> <meta property="og:image:height" content="260" /> <meta property="og:image:alt" content="Scientific.Net Logo" /> <meta name="citation_language" content="en" /> <meta name="citation_publisher" content="Trans Tech Publications Ltd" /> <meta name="citation_title" content="Modelling and Simulation of Resin Transfer Moulding: A Finite Volume Approach Applied to the Mold Filling Stage" /> <meta name="citation_publication_date" content="2014" /> <meta name="citation_online_date" content="2014/05/21" /> <meta name="citation_journal_title" content="Defect and Diffusion Forum" /> <meta name="citation_issn" content="1662-9507" /> <meta name="citation_volume" content="353" /> <meta name="citation_firstpage" content="67" /> <meta name="citation_lastpage" content="72" /> <meta name="citation_pdf_url" content="https://www.scientific.net/DDF.353.67.pdf" /> <meta name="citation_abstract_html_url" content="https://www.scientific.net/DDF.353.67" /> <meta name="citation_keywords" content="Boundary-Fitted Coordinates;Finite Volume Method (FVM);RTM Process;Simulation" /> <meta name="citation_doi" content="10.4028/www.scientific.net/DDF.353.67" /> <meta name="citation_author" content="B.G. Coutinho" /> <meta name="citation_author" content="V.M. França Bezerra" /> <meta name="citation_author" content="Severino Rodrigues de Farias Neto" /> <meta name="citation_author" content="Antônio Gilson Barbosa de Lima" /> <meta name="citation_reference" content="I. Daniel and O. Ishai. Engineering Mechanics of Composite Materials. Oxford University Press (1994)." /> <meta name="citation_reference" content="A. Quilter, in: Aircraft Maint Technol, Vol. 16, 1, (2004), pp.14-16." /> <meta name="citation_reference" content="K. Vafai. Handbook of Porous Media, Second Edition. Taylor & Francis (2005)." /> <meta name="citation_reference" content="S. Goodman. Handbook of Thermoset Plastics. Noyes Publications (1998)." /> <meta name="citation_reference" content="J. Yang, Y. Jia, S. Sun, D. Ma, T. Shi and L. An, in: Mater Sci Eng: A, Vol. 435-436, (2006), pp.515-520." /> <meta name="citation_reference" content="J. Gou, C. Zhang, Z. Liang, B. Wang and J. Simpson, in: Polym Composite, Vol. 24(1), (2003), pp.1-12." /> <meta name="citation_reference" content="citation_title=Case Study from Industry:Process Modeling in Resin Transfer Molding as a Method to Enhance Product Quality; citation_author=W. K. Chui; citation_author=J. Glimm; citation_author=F. M. Tangerman; citation_author=A. P. Jardine; citation_author=J. S. Madsen; citation_author=T. M. Donnellan; citation_author=R. Leek; citation_volume=39; citation_issue=4; citation_publication_date=1997/1; citation_pages=714-727; citation_doi=10.1137/s0036144596308546" /> <meta name="citation_reference" content="A. Shojaei, S. R. Ghaffarian and S. M. H. Karimian, in: Polym Composite, Vol. 24(4), (2003), pp.525-544." /> <meta name="citation_reference" content="D. Cardozo, in: J Reinf Plast Comp, Vol. 27(18), (2008), pp.1963-1974." /> <meta name="citation_reference" content="C. Tucker and R. B. Dessenberger, in book: Flow and Rheology in Polymer Composites Manufacturing, Elsevier (1994) p.257." /> <meta name="citation_reference" content="M. K. Hubbert, in: IASH. Bulletin, Vol. 2(1), (1957), pp.23-59." /> <meta name="citation_reference" content="M. Klitz. Homogenised Fluid Flow Equations in Porous Media with Application to Permeability Computations in Textiles. Diplomarbeit, Universität Bonn (2006)." /> <meta name="citation_reference" content="S. Neuman, in: Acta Mechanica, Vol. 25, (1977), pp.153-170." /> <meta name="citation_reference" content="F. F. Luz. Comparative Analysis of Fluid Flow in RTM Experiments Using Commercial Softwares. Master's thesis, Federal University of the Rio Grande do Sul (2011)." /> <meta name="person" content="B.G. Coutinho, V.M. França Bezerra, Severino Rodrigues de Farias Neto, Antônio Gilson Barbosa de Lima" /> <meta name="description" content="RTM process is widely used for the production of high quality fiber reinforced composites parts. Computer simulations can play an important role in optimization of RTM processes by reducing risks and costs. In this paper, we present a two dimensional mathematical modelling for the mold filling stage in RTM process. It was used a two phase model (air-resin) which neglects the capillary and gravitational effects and considers all phases incompressible. The set of partial differential equations, expressed in boundary-fitted coordinates, are discretized by using the finite volume method and solved using a fully implicit methodology and the Newton's method. To validate the methodology, numerical and experimental data of the filling time and flow front position along the process are compared and good agreement was obtained." /> <meta name="keywords" content="Boundary-Fitted Coordinates, Finite Volume Method (FVM), RTM Process, Simulation" /> <meta name="copyright" content="2014 Trans Tech Publications Ltd. All Rights Reserved" /> <title>Modelling and Simulation of Resin Transfer Moulding: A Finite Volume Approach Applied to the Mold Filling Stage | Scientific.Net</title> <link href="/Content/app/scinet5/images/favicon.ico" rel="shortcut icon" /> <link href="/Content/public.min.css?v=BKBihgCkUm340JBGsNjEPtWz8I22CUsubMPC3V1WYzw" rel="stylesheet" /> <link rel="preconnect" href="https://www.google-analytics.com"> <link rel="preconnect" href="https://www.gstatic.com"> <link rel="preconnect" href="https://www.googletagmanager.com"> <link rel="icon" href="/Content/app/scinet5/images/favicon.ico"> <link rel="apple-touch-icon" href="/Content/app/scinet5/images/apple-touch-icon.png"> <link rel="preconnect" href="https://fonts.googleapis.com"> <link rel="preconnect" href="https://fonts.gstatic.com" crossorigin> <link href="https://fonts.googleapis.com/css?family=Open+Sans+Condensed:300,700%7COpen+Sans:300i,400,400i,600,600i,700&display=swap" rel="stylesheet">    <script> (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start': new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0], j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src= 'https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f); })(window,document,'script','dataLayer','GTM-T3VDKWV');</script>  </head> <body> <noscript>  <iframe src="https://www.googletagmanager.com/ns.html?id=GTM-T3VDKWV" height="0" width="0" style="display:none;visibility:hidden"></iframe> </noscript> <div class="sc-content-container"> <div class="sc-content"> <div class="header-menu-container"> <div class="identity-menu-container header-menu-container-not-logged-in"> <div class="container"> <div class="row"> <ul class="role-menu"> <li class="user-menu between normal-user-menu"> <div class="hdivider-100"></div> <div class="cart-info"> <a href="https://main.scientific.net/Payment/Cart"> <i class="inline-icon cart-icon-white"></i> <span id="cartInfoTotalItemsCount"></span> </a> </div> <div class="user-menu-login-or-register"> <a href="https://main.scientific.net/Account/Registration?ReturnUrl=https%3A%2F%2Fwww.scientific.net%2FDDF.353.67" rel="nofollow"> Registration </a> <a href="https://main.scientific.net/Account/Login?ReturnUrl=https%3A%2F%2Fwww.scientific.net%2FDDF.353.67" rel="nofollow"> Log In </a> </div> </li> </ul> </div> </div> </div> <div class="header-fluid"> <div class="container"> <div class="row"> <div class="block-header"> <div class="logo-block"> <a href="/" class="application-logo inline-icon logo-icon"></a> <div class="burger-menu-button visible-xs"> <div class="hamburger-box"> <div class="hamburger-inner"></div> </div> </div> </div> <div class="menu-and-search-block"> <div class="burger-menu"> <nav class="burger-menu-items"> <div class="public-menu"> <ul> <li><a href="/ForLibraries">For Libraries</a></li> <li><a href="/ForPublication/Paper">For Publication</a></li> <li><a href="/DocuCenter">Downloads</a></li> <li><a href="/news/all">News</a></li> <li><a href="/Home/AboutUs">About Us</a></li> <li><a href="/Home/Contacts">Contact Us</a></li> </ul> </div> </nav> </div> <div class="header-menu-top"> <div class="header-menu-list"> <a href="/ForLibraries">For Libraries</a> <a href="/ForPublication/Paper">For Publication</a> <a href="/DocuCenter">Downloads</a> <a href="/news/all">News</a> <a href="/Home/AboutUs">About Us</a> <a href="/Home/Contacts">Contact Us</a> </div> </div> <div class="search-block"> <input class="search-control" type="search" placeholder="Search" data-url="/Search"> <button class="button button-95 button-grey search-btn button-simple"> <span class="hidden-xs">Search</span> <i class="inline-icon search-icon-grey visible-xs"></i> </button> </div> </div> </div> </div> </div> </div> </div> <div class="container-fluid"> <div class="row"> <div class="banner-new"></div> </div> </div> <div class="content"> <div class="container"> <div class="row content-container"> <div class="left-content col-md-4 col-sm-5"> <div class="left-content-first-line icon-container mobile-collapse-button"> <div class="page-name-block underline-begin sibling-name-block"> <div class="page-name-block-text"> Paper Titles <a class="left-content-expand-button"><i class="inline-icon arrow-right-black no-hover-icon on-focus-arrow-down-black"></i></a> </div> </div> </div> <div class="row mobile-collapse-content"> <a href="/DDF.353.44" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Resin Transfer Molding Process: A Numerical Analysis <br /> <span class="paper-volume-number">p.44</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/DDF.353.50" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Methane Diffusion in a Porous Environment <br /> <span class="paper-volume-number">p.50</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/DDF.353.56" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Visualization of Thermal Measuring in 3D Environment <br /> <span class="paper-volume-number">p.56</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/DDF.353.61" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Diffusion Induced Changes in Eutectic Carbides in Inoculated M2 High-Speed Steel at Austenitising <br /> <span class="paper-volume-number">p.61</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/DDF.353.67" class="normal-large-text icon-container active-element active"> <div class="element-list"> <div class="element-list-text"> Modelling and Simulation of Resin Transfer Moulding: A Finite Volume Approach Applied to the Mold Filling Stage <br /> <span class="paper-volume-number">p.67</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/DDF.353.73" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Design and Analysis of Concentrated Solar-Energy Assisted Paddle Dryers <br /> <span class="paper-volume-number">p.73</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/DDF.353.79" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> A Study on Processing and Chemical Composition of Date Pit Powder for Application in Enhanced Oil Recovery <br /> <span class="paper-volume-number">p.79</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/DDF.353.84" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Water Absorption in Composites Reinforced with Caroa虂 Fiber Fabrics: Modeling and Simulation via ANSYS CFX<sup>庐</sup> <br /> <span class="paper-volume-number">p.84</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> <a href="/DDF.353.90" class="normal-large-text icon-container"> <div class="element-list"> <div class="element-list-text"> Characterization of Gamma Irradiated PP/LDPE Blend <br /> <span class="paper-volume-number">p.90</span> </div> <div class="element-list-arrow"> <i class="inline-icon arrow-right-black no-focus-icon on-hover-arrow-left-red"></i> </div> </div> </a> </div> </div> <div class="right-content col-md-8 col-sm-7 col-xs-12 paper-title-main-page"> <div class="bread-crumbs hidden-xs"> <a class="bread-crumbs-first" href="/">Home</a><i class="inline-icon arrow-breadcrumbs"></i><a class="bread-crumbs-first" href="/DDF">Defect and Diffusion Forum</a><i class="inline-icon arrow-breadcrumbs"></i><a class="bread-crumbs-first" href="/DDF.353">Defect and Diffusion Forum Vol. 353</a><i class="inline-icon arrow-breadcrumbs"></i><span class="bread-crumbs-second">Modelling and Simulation of Resin Transfer...</span></div> <div class="page-name-block underline-begin"> <h1 class="page-name-block-text">Modelling and Simulation of Resin Transfer Moulding: A Finite Volume Approach Applied to the Mold Filling Stage</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.353.67/thumbnail.gif"> <div id="preview-button" data-url-preview-log="/Paper/PreviewImageLog?paperId=395604"> <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.353.67/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"> RTM process is widely used for the production of high quality fiber reinforced composites parts. Computer simulations can play an important role in optimization of RTM processes by reducing risks and costs. In this paper, we present a two dimensional mathematical modelling for the mold filling stage in RTM process. It was used a two phase model (air-resin) which neglects the capillary and gravitational effects and considers all phases incompressible. The set of partial differential equations, expressed in boundary-fitted coordinates, are discretized by using the finite volume method and solved using a fully implicit methodology and the Newton's method. To validate the methodology, numerical and experimental data of the filling time and flow front position along the process are compared and good agreement was obtained. </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=395604" 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 semibold-middle-text">You might also be interested in these eBooks</div> <div class="connected-title-list-container"> <div class="connected-title-list-item"> <a href="/book/diffusion-in-solids-and-liquids-ix/978-3-03826-491-0" title="Diffusion in Solids and Liquids IX"> <img class="ls-is-cached lazyloaded" src="/Image/TitleCover/3199?width=190" alt="Diffusion in Solids and Liquids IX" /> </a> <a id="downloadPdfButton" href="/book/diffusion-in-solids-and-liquids-ix/978-3-03826-491-0/ebook" class="button"> <span>View Preview</span> <i class="inline-icon book-icon-white small-icon button-icon-right"></i> </a> </div> </div> </div> <div class="papers-block-info-title"> <h2>Info:</h2> </div> <div class="clearfix"></div> <div class="papers-block-info-list"> <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>Periodical:</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="/DDF">Defect and Diffusion Forum</a> <span>(Volume 353)</span> </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>Pages:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p>67-72</p> </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>DOI:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p><a href="https://doi.org/10.4028/www.scientific.net/DDF.353.67">https://doi.org/10.4028/www.scientific.net/DDF.353.67</a></p> </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>Citation:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p><a id="paperCitationsButton" href="#">Cite this paper</a></p> </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>Online since:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p>May 2014</p> </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>Authors:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <a class="inline-icon mail-icon-red author-send-message" href="#" data-url="/Paper/_Message?paperId=395604&personId=1237342&urlSent=https%3A%2F%2Fwww.scientific.net%2FDDF.353.67" title="Send message to Corresponding Author"> </a> <a href="/author-papers/b-g-coutinho">B.G. Coutinho</a>*, <a href="/author-papers/v-m-frança-bezerra">V.M. França Bezerra</a>, <a href="/author-papers/severino-rodrigues-de-farias-neto">Severino Rodrigues de Farias Neto</a>, <a href="/author-papers/antônio-gilson-barbosa-de-lima">Antônio Gilson Barbosa de Lima</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/boundary-fitted-coordinates">Boundary-Fitted Coordinates</a>, <a href="/paper-keyword/finite-volume-method-fvm">Finite Volume Method (FVM)</a>, <a href="/paper-keyword/rtm-process">RTM Process</a>, <a href="/paper-keyword/simulation-2">Simulation</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>Export:</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="/DDF.353.67.ris">RIS</a>, <a href="/DDF.353.67.bib">BibTeX</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>Price:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p id="paper-price-info"></p> </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>Permissions:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p> <i class="inline-icon icon-permission"></i> <a href="https://marketplace.copyright.com/rs-ui-web/mp/search/article/10.4028%2Fwww.scientific.net%2FDDF.353.67" target="_blank"> Request Permissions </a> </p> </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>Сopyright:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <p> 漏 2014 Trans Tech Publications Ltd. All Rights Reserved </p> </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>Share:</p> </div> </div> <div class="info-row-content share-icons semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row">  <div id="" class="a2a_kit a2a_kit_size_32 a2a_default_style"> <a class="a2a_button_linkedin"></a> <a class="a2a_button_mendeley"></a> <a class="a2a_button_email"></a> <a class="a2a_button_x"></a> <a class="a2a_button_twitter"></a> <a class="a2a_button_whatsapp"></a> <a class="a2a_button_microsoft_teams"></a> <a class="a2a_button_skype"></a> <a class="a2a_button_outlook_com"></a> <a class="a2a_dd" href="https://www.addtoany.com/share"></a> </div> <script async src="https://static.addtoany.com/menu/page.js"></script>  </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>Citation:</p> </div> </div> <div class="info-row-content semibold-middle-text col-md-10 col-sm-9 col-xs-8"> <div class="row"> <div class="scite-badge" data-doi="10.4028/www.scientific.net/DDF.353.67" data-layout="horizontal" data-show-zero="true" data-small="false" data-show-labels="false" data-tally-show="true"> </div> </div> </div> </div> </div> </div> <div class="block-corresponding-buttons col-xs-12"> <div class="row"> <div class="block-corresponding normal-text-gray col-md-4 col-xs-12"> <div class="row"> <p><span>*</span> - Corresponding Author</p> </div> </div> </div> </div> <div class="related-article reference-collapse col-xs-12"> <div class="row"> <div class="view"> <div class="panel-group" id="references-panel"> <div class="panel panel-default"> <div class="panel-heading"> <a class="panel-title bold-large-text icon-container" data-toggle="collapse" data-parent="#references-panel" href="#reference-panel-element"> References <i class="inline-icon arrow-right-black"></i> </a> </div> <div id="reference-panel-element" class="panel-collapse collapse"> <div class="panel-body"> <div class="references-block"> <div class="reference-text volume-info-text"> <p> <span>[1]</span> I. Daniel and O. Ishai. Engineering Mechanics of Composite Materials. Oxford University Press (1994). </p> <p><a href="https://scholar.google.com/scholar?q=I.%20Daniel%20and%20O.%20Ishai.%20Engineering%20Mechanics%20of%20Composite%20Materials.%20Oxford%20University%20Press%20%281994%29.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[2]</span> A. Quilter, in: Aircraft Maint Technol, Vol. 16, 1, (2004), pp.14-16. </p> <p><a href="https://scholar.google.com/scholar?q=A.%20Quilter%2C%20in%3A%20Aircraft%20Maint%20Technol%2C%20Vol.%2016%2C%201%2C%20%282004%29%2C%20pp.14-16.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[3]</span> K. Vafai. Handbook of Porous Media, Second Edition. Taylor & Francis (2005). </p> <p><a href="https://scholar.google.com/scholar?q=K.%20Vafai.%20Handbook%20of%20Porous%20Media%2C%20Second%20Edition.%20Taylor%20%26%20Francis%20%282005%29.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[4]</span> S. Goodman. Handbook of Thermoset Plastics. Noyes Publications (1998). </p> <p><a href="https://scholar.google.com/scholar?q=S.%20Goodman.%20Handbook%20of%20Thermoset%20Plastics.%20Noyes%20Publications%20%281998%29.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[5]</span> J. Yang, Y. Jia, S. Sun, D. Ma, T. Shi and L. An, in: Mater Sci Eng: A, Vol. 435-436, (2006), pp.515-520. </p> <p><a href="https://scholar.google.com/scholar?q=J.%20Yang%2C%20Y.%20Jia%2C%20S.%20Sun%2C%20D.%20Ma%2C%20T.%20Shi%20and%20L.%20An%2C%20in%3A%20Mater%20Sci%20Eng%3A%20A%2C%20Vol.%20435-436%2C%20%282006%29%2C%20pp.515-520.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[6]</span> J. Gou, C. Zhang, Z. Liang, B. Wang and J. Simpson, in: Polym Composite, Vol. 24(1), (2003), pp.1-12. </p> <p><a href="https://scholar.google.com/scholar?q=J.%20Gou%2C%20C.%20Zhang%2C%20Z.%20Liang%2C%20B.%20Wang%20and%20J.%20Simpson%2C%20in%3A%20Polym%20Composite%2C%20Vol.%2024%281%29%2C%20%282003%29%2C%20pp.1-12.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[7]</span> W. K. Chui, J. Glimm, F. M. Tangerman, A. P. Jardine, J. S. Madsen, T. M. Donnellan and R. Leek, in: SIAM review, pp.714-727. </p> <p> DOI: <a href="https://doi.org/10.1137/s0036144596308546">10.1137/s0036144596308546</a> </p> <p><a href="https://scholar.google.com/scholar_lookup?title=Case%20Study%20from%20Industry%3AProcess%20Modeling%20in%20Resin%20Transfer%20Molding%20as%20a%20Method%20to%20Enhance%20Product%20Quality&author=W.%20K.%20Chui&author=J.%20Glimm&author=F.%20M.%20Tangerman&author=A.%20P.%20Jardine&author=J.%20S.%20Madsen&author=T.%20M.%20Donnellan&author=R.%20Leek&publication_year=1997&journal=SIAM%20Review&volume=39&issue=4&pages=714-727&doi=10.1137%2Fs0036144596308546">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[8]</span> A. Shojaei, S. R. Ghaffarian and S. M. H. Karimian, in: Polym Composite, Vol. 24(4), (2003), pp.525-544. </p> <p><a href="https://scholar.google.com/scholar?q=A.%20Shojaei%2C%20S.%20R.%20Ghaffarian%20and%20S.%20M.%20H.%20Karimian%2C%20in%3A%20Polym%20Composite%2C%20Vol.%2024%284%29%2C%20%282003%29%2C%20pp.525-544.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[9]</span> D. Cardozo, in: J Reinf Plast Comp, Vol. 27(18), (2008), pp.1963-1974. </p> <p><a href="https://scholar.google.com/scholar?q=D.%20Cardozo%2C%20in%3A%20J%20Reinf%20Plast%20Comp%2C%20Vol.%2027%2818%29%2C%20%282008%29%2C%20pp.1963-1974.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[10]</span> C. Tucker and R. B. Dessenberger, in book: Flow and Rheology in Polymer Composites Manufacturing, Elsevier (1994) p.257. </p> <p><a href="https://scholar.google.com/scholar?q=C.%20Tucker%20and%20R.%20B.%20Dessenberger%2C%20in%20book%3A%20Flow%20and%20Rheology%20in%20Polymer%20Composites%20Manufacturing%2C%20Elsevier%20%281994%29%20p.257.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[11]</span> M. K. Hubbert, in: IASH. Bulletin, Vol. 2(1), (1957), pp.23-59. </p> <p><a href="https://scholar.google.com/scholar?q=M.%20K.%20Hubbert%2C%20in%3A%20IASH.%20Bulletin%2C%20Vol.%202%281%29%2C%20%281957%29%2C%20pp.23-59.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[12]</span> M. Klitz. Homogenised Fluid Flow Equations in Porous Media with Application to Permeability Computations in Textiles. Diplomarbeit, Universität Bonn (2006). </p> <p><a href="https://scholar.google.com/scholar?q=M.%20Klitz.%20Homogenised%20Fluid%20Flow%20Equations%20in%20Porous%20Media%20with%20Application%20to%20Permeability%20Computations%20in%20Textiles.%20Diplomarbeit%2C%20Universit%C3%A4t%20Bonn%20%282006%29.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[13]</span> S. Neuman, in: Acta Mechanica, Vol. 25, (1977), pp.153-170. </p> <p><a href="https://scholar.google.com/scholar?q=S.%20Neuman%2C%20in%3A%20Acta%20Mechanica%2C%20Vol.%2025%2C%20%281977%29%2C%20pp.153-170.">Google Scholar</a></p> </div> <div class="reference-text volume-info-text"> <p> <span>[14]</span> F. F. Luz. Comparative Analysis of Fluid Flow in RTM Experiments Using Commercial Softwares. Master's thesis, Federal University of the Rio Grande do Sul (2011). </p> <p><a href="https://scholar.google.com/scholar?q=F.%20F.%20Luz.%20Comparative%20Analysis%20of%20Fluid%20Flow%20in%20RTM%20Experiments%20Using%20Commercial%20Softwares.%20Master%27s%20thesis%2C%20Federal%20University%20of%20the%20Rio%20Grande%20do%20Sul%20%282011%29.">Google Scholar</a></p> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class="related-article cited-collapse col-xs-12"> <div class="row"> <div class="view"> <div class="panel-group" id="cited-panel"> <div class="panel panel-default"> <div class="panel-heading"> <a id="citedby-link" class="panel-title bold-large-text icon-container" data-toggle="collapse" data-parent="#cited-panel-" data-paper-id="395604" href="#citedby-root"> Cited by <i class="inline-icon arrow-right-black"></i> </a> </div> <div id="citedby-root" class="panel-collapse collapse"> <span class="busy-icon"></span> </div> </div> </div> </div> </div> </div> <div class="related-article related-collapse col-xs-12"> <div class="row"> <div class="view"> <div class="panel-group" id="related-articles-panel"> <div class="panel panel-default"> <div class="panel-heading"> <a id="related-articles-link" class="panel-title bold-large-text icon-container" data-toggle="collapse" data-parent="#related-articles-panel" href="#related-articles-root"> Related Articles <i class="inline-icon arrow-right-black"></i> </a> </div> <div id="related-articles-root" class="panel-collapse collapse"> <span class="busy-icon"></span> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div id="author-message-modal" class="modal fade" tabindex="-1" role="dialog"></div> <div id="citations-modal" class="modal fade" role="dialog"> <div class="modal-dialog popup"> <div class="popup-page-name underline-begin"> <div class="page-name-block-text">Citation</div> </div> <a class="inline-icon close-icon" data-dismiss="modal" title="Close"></a> <div class="modal-body"> <div id="citations-modal-content"></div> </div> </div> </div> <div id="addToCart" class="modal fade" tabindex="-1" role="dialog"> <div class="modal-dialog" role="document"> <div class="popup-page-name underline-begin"> <div class="page-name-block-text">Add To Cart</div> </div> <div class="shopping-cart-block"> <div class="popup-cart-block-image"> <i class="inline-icon add-paper-icon"></i> </div> <div class="popup-cart-block-text"> <p>Paper price: <span id="popup-paper-price"></span></p> <p>After payment, you will receive an email with instructions and a link to download the purchased paper.</p> <p>You may also check the possible access via personal account by logging in or/and check access through your institution.</p> </div> </div> <div class="popup-block-buttons clearfix"> <div class="three-buttons-block"> <a data-dismiss="modal" class="button button-95 button-grey icon-container"> <i class="inline-icon button-arrow-back-black button-icon-left"></i> <span class="inline-element">Back</span> </a> <button data-url="/Cart/AddPaper" data-paperid="395604" id="addPaperButton" class="button button-160" disabled> <span class="inline-element">Add to Cart</span> <i class="inline-icon cart-icon-white button-icon-right"></i> </button> </div> </div> <a data-dismiss="modal" title="Close" class="inline-icon close-icon"></a> </div> </div> <div id="addedToCart" class="modal fade" tabindex="-1" role="dialog"> <div class="modal-dialog" role="document"> <div class="popup-page-name underline-begin"> <div class="page-name-block-text">Add To Cart</div> </div> <div class="shopping-cart-block"> <div class="popup-cart-block-image"> <i class="inline-icon add-paper-icon"></i> </div> <div class="popup-cart-block-text"> <p>This paper has been added to your cart</p> </div> </div> <div class="popup-block-buttons clearfix"> <div class="three-buttons-block"> <a data-dismiss="modal" class="button button-95 button-grey icon-container"> <i class="inline-icon button-arrow-back-black button-icon-left"></i> <span class="inline-element">Back</span> </a> <a href="https://main.scientific.net/Payment/Cart" class="button button-160"> <span class="inline-element">To Cart</span> <i class="inline-icon cart-icon-white button-icon-right"></i> </a> </div> </div> <a data-dismiss="modal" title="Close" class="inline-icon close-icon"></a> </div> </div> <div class="social-icon-popup"> <a href="https://www.facebook.com/Scientific.Net.Ltd/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon facebook-popup-icon social-icon"></i></a> <a href="https://twitter.com/Scientific_Net/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon twitter-popup-icon social-icon"></i></a> <a href="https://www.linkedin.com/company/scientificnet/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon linkedin-popup-icon social-icon"></i></a> </div> </div> <div class="sc-footer"> <div class="footer-fluid"> <div class="container"> <div class="row"> <div class="footer-menu col-md-12 col-sm-12 col-xs-12"> <ul class="list-inline menu-font"> <li><a href="/ForLibraries">For Libraries</a></li> <li><a href="/ForPublication/Paper">For Publication</a></li> <li><a href="/insights" target="_blank">Insights</a></li> <li><a href="/DocuCenter">Downloads</a></li> <li><a href="/Home/AboutUs">About Us</a></li> <li><a href="/PolicyAndEthics/PublishingPolicies">Policy & Ethics</a></li> <li><a href="/Home/Contacts">Contact Us</a></li> <li><a href="/Home/Imprint">Imprint</a></li> <li><a href="/Home/PrivacyPolicy">Privacy Policy</a></li> <li><a href="/Home/Sitemap">Sitemap</a></li> <li><a href="/Conferences">All Conferences</a></li> <li><a href="/special-issues">All Special Issues</a></li> <li><a href="/news/all">All News</a></li> <li><a href="/read-and-publish-agreements">Read & Publish Agreements</a></li> </ul> </div> </div> </div> </div> <div class="line-footer"></div> <div class="footer-fluid"> <div class="container"> <div class="row"> <div class="col-xs-12"> <a href="https://www.facebook.com/Scientific.Net.Ltd/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon facebook-footer-icon social-icon"></i></a> <a href="https://twitter.com/Scientific_Net/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon twitter-footer-icon social-icon"></i></a> <a href="https://www.linkedin.com/company/scientificnet/" target="_blank" rel="noopener" title="Scientific.Net"><i class="inline-icon linkedin-footer-icon social-icon"></i></a> </div> </div> </div> </div> <div class="line-footer"></div> <div class="footer-fluid"> <div class="container"> <div class="row"> <div class="col-xs-12 footer-copyright"> <p> © 2024 Trans Tech Publications Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies. For open access content, terms of the Creative Commons licensing CC-BY are applied. <br />Scientific.Net is a registered trademark of Trans Tech Publications Ltd. </p> </div> </div> </div> </div> </div> <a class="scrollTop inline-icon scroll-top-icon" href="#" style="display: none"></a> </div> <script src="/Scripts/public.min.js?v=BtSq2PJEHRTW2PekpQGgIQKs7-OSPiKhsoI9rMs6kTU"></script> <script src="https://scholar.google.com/scholar_js/casa.js" async></script> <script async type="application/javascript" src="https://cdn.scite.ai/badge/scite-badge-latest.min.js"></script> <script> $(function () { var statisticsDownloadedHandler = function ($element) { return function (count) { $element.text(count); $element.parent().removeClass("loading"); }; }; $.get("/Paper/GetDownloadsAndVisitorsCount?paperId=395604", statisticsDownloadedHandler($("#paperDownloadsAndVisitorsCount"))); $.ajax({method: "GET", url: "/Paper/GetPrice?paperId=395604" }) .retry({times: 3, timeout: 3000 }) .done(function (price) { $("#paper-price-info").html(price); $("#popup-paper-price").html(price); $("#addPaperButton").removeAttr("disabled"); }); $("#paperCitationsButton").on("click", function (e) { e.preventDefault(); Scinet.busy.lock(); var $modal = $("#citations-modal"), $modalContent = $("#citations-modal-content"); $.get("/Paper/Citations?doi=10.4028%2Fwww.scientific.net%2FDDF.353.67") .done(function (content) { Scinet.busy.unlock(); $modalContent.html(content); $modal.modal(); }) .fail(function () { Scinet.busy.unlock(); Scinet.error("The DOI has not been activated yet. Please try again later."); }); }); $("#ask-by-email-button") .on("click", function (e) { e.preventDefault(); var url = $(this).data("url"); $("#ask-by-email-modal") .load(url, function () { $("#ask-by-email-modal").modal(); }); }); $("#downloadPdfButton").on("click", function () { Scinet.busy.lock(); setTimeout(Scinet.busy.unlock, 8000); }); var readThePaperLogged = false; $("#readPaperButton").on( "click", function (e) { e.preventDefault(); $("#addToCart").modal(); if (!readThePaperLogged) { var url = $("#readPaperButton").data("urlReadPaperLog"); $.ajax({ url: url }); readThePaperLogged = true; } }); $("#addPaperButton").on( "click", function (e) { e.preventDefault(); var $button = $(this), url = $button.data("url"), paperId = $button.data("paperid"); $.post(url, { paperId: paperId }) .done( function () { Scinet.public.loadCartInfo(); $('#addToCart').modal('hide'); $("#addedToCart").modal(); }); }); $(".paper-title-main-page a.panel-title").on("click", function () { $(this).toggleClass("active"); }); $(".author-send-message").on("click", function (e) { e.preventDefault(); var url = $(this).data("url"), $modal = $("#author-message-modal"); $modal.load(url, function () { $modal.modal(); }); }); var previewLogged = false; $("#preview-button") .on("click", function () { $("#paper-preview-modal").modal(); if (!previewLogged) { var url = $(this).data("url-preview-log"); $.ajax({ url: url }); previewLogged = true; } }); function getCitedByInfo(page) { var $citedbyroot = $("#citedby-root"); var paperId = $("#citedby-link").data("paper-id"); if (paperId && page) { $.ajax( { method: "GET", url: "/Paper/CitedBy", data: { paperId: paperId, pageNumber: page } }) .done( function (response) { $citedbyroot.html(response); $(".citedby-paginator").on("click", function () { var pageNumber = $(this).attr("page"); getCitedByInfo(pageNumber); }); }) .fail( function (request, status, error) { $citedbyroot .html('<div style="color: red; padding-top: 30px; padding-bottom: 30px;"><p>' + error + "</p></div>"); }); } } $("#citedby-link") .on("click", function () { var $citedbyroot = $("#citedby-root"); if (!$citedbyroot.data("loaded")) { getCitedByInfo(1); $citedbyroot.data("loaded", true); } }); $("#citations-modal-content") .on("click", ".citations-list-item-value a", function (e) { e.preventDefault(); }); var clipboard = new ClipboardJS("#citations-modal-content .citations-list-item .inline-icon"); clipboard.on("success", function (e) { var $icon = $(e.trigger); var originalName = "data-original-title"; var prevTitle = $icon.attr(originalName); $icon.addClass("icon-copied").removeClass("icon-copy"); $icon.attr(originalName, "Copied!").tooltip("show"); setTimeout(function () { $icon.attr(originalName, prevTitle).tooltip("hide"); $icon.addClass("icon-copy").removeClass("icon-copied"); }, 3000); e.clearSelection(); }); function getRelatedArticles() { var $releatedArticlesRoot = $("#related-articles-root"); $.ajax( { method: "GET", url: "/Paper/RelatedArticles?paperId=395604" }) .done( function (response) { $releatedArticlesRoot.html(response); }) .fail( function (request, status, error) { $releatedArticlesRoot .html('<div style="color: red; padding-top: 30px; padding-bottom: 30px;"><p>Server Error. Sorry for the inconvenience. Our team is working to fix this internal error. Please check back shortly.</p></div>'); }); } $("#related-articles-link") .on("click", function () { var $releatedArticlesRoot = $("#related-articles-root"); if (!$releatedArticlesRoot.data("loaded")) { getRelatedArticles(); $releatedArticlesRoot.data("loaded", true); } }) $("body").tooltip({ selector: "[data-toggle=tooltip]" }); }); $(document) .ready( function () { var isHidden = sessionStorage.getItem('isPublicMessagesHidden'); if (isHidden === 'true') { $('.message-container').hide(); } $('#hide-button') .click( function (event) { event.preventDefault(); $('.message-container').hide(); sessionStorage.setItem('isPublicMessagesHidden', 'true'); }); }); </script> <script asp-render-component-scripts> (function (w, a, y, f) { w._wayfinder = w._wayfinder || function () { (w._wayfinder.q = w._wayfinder.q || []).push(arguments) }; p = { oaDomain: 'scientific.net', oaAppId: '9a54dd64-0769-4f59-a7ec-b249515c9de7' }; w._wayfinder.settings = p; w._wayfinder.options = { rememberCrossSite: false }; h = a.getElementsByTagName('head')[0]; s = a.createElement('script'); s.async = 1; q = Object.keys(p).map(function (key) { return key + '=' + p[key] }).join('&'); s.src = y + 'v1' + f + "?" + q; h.appendChild(s); } )(window, document, 'https://wayfinder.openathens.net/embed/', '/loader.js'); $(function () { var wayfinderEnabled = true; $("#sa-button").on("click", function (e) { if (wayfinderEnabled) { setTargetPageCookie(); } else { e.preventDefault(); setTargetPageCookie(); window.location.href = this.href; } }); function setTargetPageCookie() { var in5Minutes = 1 / 3600 * 5; Cookies.set("Scinet.TargetPage", window.location.href, { domain: ".scientific.net", expires: in5Minutes, secure: true }); } }); Scinet.public = (function () { function loadCartInfo(onLoad) { var formatCartItemCount = function (count) { var format = (count > 1 || count === 0) ? "{0} items" : "{0} item"; $("#cartInfoTotalItemsCount").html(Scinet.stringFormat(format, count)); }, cookieCartItemCount = Cookies.get("Scinet5.CartItemsCount"); if (onLoad && cookieCartItemCount != null) { formatCartItemCount(parseInt(cookieCartItemCount, 10)); } else { $.ajax({ url: "/Cart/GetItemsCount", cache: false }) .done( function (count) { Cookies.set("Scinet5.CartItemsCount", count, { domain: ".scientific.net", secure: true }); formatCartItemCount(count); }); } } return { loadCartInfo: loadCartInfo }; })(); $(function () { Scinet.public.loadCartInfo(true); $("[data-add-book-to-cart]").on("click", function (e) { e.preventDefault(); var data = $(this).data("add-book-to-cart"); console.log(data); var url = "/Cart/AddBook"; $.post(url, data) .done( function () { Scinet.public.loadCartInfo(); $("#addToCart").modal(); }) .fail( function (xhr) { Scinet.error(xhr.responseText); }); }) }); </script> <script> var $buoop = { required: { e: 11, f: -6, o: -6, s: -3, c: -6 }, insecure: false, unsupported: false, api: 2019.11, reminder: 0, onshow: function () { window.browserUpdateOutdated = true; } }; function $buo_f() { var e = document.createElement("script"); e.src = "//browser-update.org/update.min.js"; document.body.appendChild(e); }; try { document.addEventListener("DOMContentLoaded", $buo_f, false) } catch (e) { window.attachEvent("onload", $buo_f) } </script>   <script> window.clientErrorLogActionUrl = "/Errors/LogClientError"; </script> </body> </html>

CINXE.COM

Modelling and Simulation of Resin Transfer Moulding: A Finite Volume Approach Applied to the Mold Filling Stage | Scientific.Net