TY - JOUR AU - Kalam, A. AU - Munshi, J. H. AU - Rahman, M. AU - Chowdhury, M. M. K. PY - 2014/04/23 Y2 - 2024/03/29 TI - Analysis of Combined Convection in an Open Cavity under Constant Heat Flux Boundary Conditions and Magnetic Field Using Finite Element Method JF - Journal of Scientific Research JA - J. Sci. Res. VL - 6 IS - 2 SE - Section A: Physical and Mathematical Sciences DO - 10.3329/jsr.v6i2.14505 UR - https://www.banglajol.info/index.php/JSR/article/view/14505 SP - 243-256 AB - <!--[if gte mso 9]><xml> <o:OfficeDocumentSettings> <o:RelyOnVML /> <o:AllowPNG /> </o:OfficeDocumentSettings> </xml><![endif]--> <p class="MsoNormal" style="margin-top: 0cm; margin-right: 15.55pt; margin-bottom: .0001pt; margin-left: 14.2pt; text-align: justify; line-height: normal;"><span style="font-size: 9.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; mso-ansi-language: EN-US;">This study investigated the effects of the aspect ratio of the cavity for average fluid temperature at exit port, average Nusselt number, maximum temperature of the fluid in the domain, drag coefficient, isotherms and streamlines on behalf of different Hartmann numbers and Rayleigh numbers.</span><span style="font-size: 9.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;;"> </span><span style="font-size: 9.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; mso-ansi-language: EN-US;">Solution of governing equations of momentum and energy has been made by finite element technique. Above mentioned parameters such as an aspect ratio which is cavity height to cavity length change from <em style="mso-bidi-font-style: normal;">Ar</em> = 0.5 to 2 for different Rayleigh numbers and Hartmann numbers which change from <em style="mso-bidi-font-style: normal;">Ra</em> = 10<sup>3</sup> to 10<sup>5</sup> and <em style="mso-bidi-font-style: normal;">Ha</em> = 0 to 50 respectively. Prandtl number <em style="mso-bidi-font-style: normal;">Pr</em> = 7 and Reynolds number <em style="mso-bidi-font-style: normal;">Re</em> = 100 is fixed in this simulation</span><span style="font-size: 9.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;;" lang="TR">.<strong style="mso-bidi-font-weight: normal;"> </strong></span><span style="font-size: 9.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; mso-ansi-language: EN-US;">It is found that variation of the aspect ratio makes an important effect for higher values of Rayleigh numbers. Heat transfer enhances with increasing of aspect ratio. Increasing of Hartmann number decreases the heat transfer inside the cavity. </span><span style="font-size: 9.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;;" lang="TR"> </span></p> <p class="MsoNormal" style="margin-top: 0cm; margin-right: 15.55pt; margin-bottom: .0001pt; margin-left: 14.2pt; line-height: normal;"><em style="mso-bidi-font-style: normal;"><span style="font-size: 6.0pt; mso-bidi-font-size: 9.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; color: black;" lang="TR"> </span></em></p> <p class="MsoNormal" style="margin-top: 0cm; margin-right: 15.55pt; margin-bottom: .0001pt; margin-left: 14.2pt; line-height: normal;"> </p><p class="MsoNormal" style="margin-top: 0cm; margin-right: 15.55pt; margin-bottom: .0001pt; margin-left: 14.2pt; line-height: normal;"><em style="mso-bidi-font-style: normal;"><span style="font-size: 9.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; color: black;" lang="TR">Keywords:</span></em><span style="font-size: 9.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; color: black;" lang="TR"> Temperature boundary conditions; Open cavity; Aspect ratio; Finite element methods.</span></p> <p class="MsoNormal" style="margin-top: 0cm; margin-right: 15.55pt; margin-bottom: .0001pt; margin-left: 14.2pt; line-height: normal;"><span style="font-size: 6.0pt; mso-bidi-font-size: 9.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; color: black;" lang="TR"> </span></p> <p class="MsoNormal" style="margin-top: 0cm; margin-right: 0cm; margin-bottom: .0001pt; margin-left: 14.2pt; line-height: normal; mso-layout-grid-align: none; text-autospace: none;"> </p><p class="MsoNormal" style="margin-top: 0cm; margin-right: 0cm; margin-bottom: .0001pt; margin-left: 14.2pt; line-height: normal; mso-layout-grid-align: none; text-autospace: none;"><span style="font-size: 8.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; mso-ansi-language: EN-SG; mso-fareast-language: EN-SG;" lang="EN-SG">© 2014 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.</span></p> <p class="MsoNormal" style="margin-top: 0cm; margin-right: 0cm; margin-bottom: .0001pt; margin-left: 14.2pt; line-height: normal; tab-stops: 14.2pt 6.0cm 177.2pt 184.3pt;"><span style="font-size: 1.0pt; mso-bidi-font-size: 7.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;; mso-ansi-language: EN-SG; mso-fareast-language: EN-SG;" lang="EN-SG"> </span></p> <p class="MsoNormal" style="margin-top: 0cm; margin-right: 0cm; margin-bottom: .0001pt; margin-left: 14.2pt; line-height: normal; tab-stops: 14.2pt 6.0cm 177.2pt 184.3pt;"> </p><p class="MsoNormal" style="margin-top: 0cm; margin-right: 0cm; margin-bottom: .0001pt; margin-left: 14.2pt; line-height: normal; tab-stops: 14.2pt 6.0cm 177.2pt 184.3pt;"><span style="font-size: 8.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;;" lang="TR">doi: <a href="http://dx.doi.org/10.3329/jsr.v6i2.14505">http://dx.doi.org/10.3329/jsr.v6i2.14505</a> </span></p><p class="MsoNormal" style="margin-top: 0cm; margin-right: 0cm; margin-bottom: .0001pt; margin-left: 14.2pt; line-height: normal; tab-stops: 14.2pt 6.0cm 177.2pt 184.3pt;"><span style="font-size: 8.0pt; font-family: &quot;Times New Roman&quot;,&quot;serif&quot;;" lang="TR"><span style="mso-spacerun: yes;"> </span>J. Sci. 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