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Conjugate natural convection in an enclosure with a heat source of constant heat transfer rate
Authors:Geniy V Kuznetsov  Mikhail A Sheremet
Affiliation:1. Department of Mechanical Engineering, University of Semnan, Semnan, Iran;2. Department of Mechanical Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran;3. Department of Civil Engineering, School of Engineering, University of Birmingham, Birmingham, UK;1. Department of Mechanical Engineering, Technology Faculty, F?rat University, Elazig, Turkey;2. LGCGM EA3913, Equipe Matériaux et Thermo-Rhéologie, Université Rennes 1, IUT de Rennes, 3 rue du Clos Courtel, BP 90422, 35704 Rennes Cedex 7, France;3. Department of Energy and Refrigerating Air-Conditioning Engineering, National Taipei University of Technology, Taipei 10608, Taiwan, ROC;4. Department of Mechanical Engineering, College of Engineering, King Saud University, Riyadh, Saudi Arabia;5. Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Abstract:A numerical study of two-dimensional transient natural convection in a rectangular enclosure having finite thickness heat-conducting walls with a heat source of constant heat transfer rate located on the inner side of the left wall in conditions of convection–radiation heat exchange with an environment on one of the external boundaries has been performed. Mathematical simulation has been carried out in terms of the dimensionless variables such as stream function – vorticity – temperature. Stream function, vorticity and energy equations have been solved by finite difference numerical method. The relevant governing parameters were: the Grashof number from 106 to 108, the Prandtl number, Pr = 0.7 and the conductivity ratio. Detailed results including streamlines and temperature profiles have been obtained.
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