TY - JOUR AU - Rahman, M. M. AU - Alim, M. A. AU - Chowdhury, M. K. PY - 2009/08/29 Y2 - 2024/03/28 TI - Magnetohydrodynamics Mixed Convection Around a Heat Conducting Horizontal Circular Cylinder in a Rectangular Lid-driven Cavity with Joule Heating JF - Journal of Scientific Research JA - J. Sci. Res. VL - 1 IS - 3 SE - Section A: Physical and Mathematical Sciences DO - 10.3329/jsr.v1i3.2597 UR - https://banglajol.info/index.php/JSR/article/view/2597 SP - 461-472 AB - <p class="AbstractText" style="margin: 0cm 15.55pt 6pt 14.2pt; line-height: 10pt; mso-line-height-rule: exactly;"><span style="font-size: 9pt;" lang="EN-US"><span style="font-family: Times New Roman;">In the present paper, a study of magnetohydrodynamic (MHD) mixed convection around a heat conducting horizontal circular cylinder placed at the center of a rectangular cavity along with joule heating has been carried out. Steady state heat transfer by laminar mixed convection has been studied numerically by solving the equations of mass, momentum and energy to determine the fluid flow and heat transfer characteristics in the cavity as a function of Richardson number, Hartmann number and the cavity aspect ratio. The results are presented in the form of average Nusselt number at the heated surface; average fluid temperature in the cavity and temperature at the cylinder center for the range of Richardson number, Hartmann number and aspect ratio. The streamlines and isotherms are also presented. It is found that the streamlines, isotherms, average Nusselt number, average fluid temperature and dimensionless temperature at the cylinder center strongly depend on the Richardson number, Hartmann number and the cavity aspect ratio.</span></span></p><p class="MsoNormal" style="text-justify: kashida; margin: 0cm 15.55pt 0pt 14.2pt; text-align: justify; text-kashida: 0%;"><span style="font-family: Times New Roman;"><em style="mso-bidi-font-style: normal;"><span style="font-size: 9pt; mso-bidi-font-weight: bold;" lang="EN-US">Keywords</span></em><em style="mso-bidi-font-style: normal;"><span style="font-size: 9pt;" lang="EN-US">:</span></em><span style="font-size: 9pt;" lang="EN-US"> Mixed convection; Finite element method; Cylinder diameter; Lid-driven cavity; Hartmann number.</span></span></p><p class="MsoNormal" style="text-justify: kashida; margin: 0cm 15.55pt 0pt 14.2pt; text-align: justify; text-kashida: 0%;"><span style="font-size: 4pt; mso-bidi-font-size: 9.0pt;" lang="EN-US"><span style="font-family: Times New Roman;">&nbsp;</span></span></p><p class="MsoNormal" style="margin: 0cm 15.55pt 0pt 14.2pt; mso-layout-grid-align: none;"><span style="font-size: 8pt; mso-ansi-language: EN-SG; mso-fareast-language: EN-SG;"><span style="font-family: Times New Roman;">&copy;</span></span><span style="font-size: 8pt; font-family: Symbol; mso-ansi-language: EN-SG; mso-fareast-language: EN-SG; mso-bidi-font-family: Symbol;"> </span><span style="font-size: 8pt; mso-ansi-language: EN-SG; mso-fareast-language: EN-SG;"><span style="font-family: Times New Roman;">2009 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.</span></span></p><p class="MsoNormal" style="margin: 0cm 15.55pt 0pt 14.2pt; tab-stops: 14.2pt 6.0cm 177.2pt 184.3pt;"><span style="font-size: 4pt; mso-ansi-language: EN-SG; mso-fareast-language: EN-SG; mso-bidi-font-size: 8.0pt;"><span style="font-family: Times New Roman;">&nbsp;</span></span></p><p class="MsoNormal" style="margin: 0cm 15.55pt 0pt 14.2pt; tab-stops: 14.2pt 6.0cm 177.2pt 184.3pt;"><span style="font-family: Times New Roman;"><span style="font-size: 8pt; mso-ansi-language: EN-SG; mso-fareast-language: EN-SG;">DOI: 10.3329/jsr.v1i3.2597<span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;</span><span style="mso-spacerun: yes;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span></span><span style="font-size: 8pt;" lang="EN-US">J. Sci. Res. <strong style="mso-bidi-font-weight: normal;">1</strong> (3), 461-472 (2009)</span></span><span style="font-size: 10pt;" lang="EN-US"></span></p><p>&nbsp;</p> ER -