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Steady natural convection flows in a square cavity with linearly heated side wall(s)
Affiliation:1. Department of Mechanical Engineering, Khalifa University of Science, Technology and Research (KUSTAR), P. O. Box 127788, Abu Dhabi, United Arab Emirates;2. Manufacturing Engineering Department, The Public Authority for Applied Education and Training, Shuweikh 70654, Kuwait;1. Department of Mechanical Engineering, University of Semnan, Semnan, Iran;2. Section des Sciences de la Terre et de L''Environnement, Universitè de Genève, Rue des Maraîchers 13, CH-1205 Genève, Switzerland;3. Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Address: 4800 Cao An Rd., Jiading, Shanghai 201804, China;4. ENN-Tongji Clean Energy Institute of advanced studies, Shanghai, China
Abstract:The present numerical study deals with natural convection flow in a closed square cavity when the bottom wall is uniformly heated and vertical wall(s) are linearly heated whereas the top wall is well insulated. Non-linear coupled PDEs governing the flow have been solved by penalty finite element method with bi-quadratic rectangular elements. Numerical results are obtained for various values of Rayleigh number (Ra) (103 ? Ra ? 105) and Prandtl number (Pr) (0.7 ? Pr ? 10). Results are presented in the form of streamlines, isotherm contours, local Nusselt number and the average Nusselt as a function of Rayleigh number.
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