Please use this identifier to cite or link to this item: http://hdl.handle.net/11717/8621
Title: Effects of thermal boundary conditions on natural convection flows within a square cavity
Authors: Basak, T.
Roy, S.
Balakrishnan, A.R.
Keywords: Boundary conditions
Finite element method
Nusselt number
Prandtl number
Thermal effects
Penalty finite element method
Rayleigh numbers
Square cavity
Uniform and non-uniform heating
Natural convection
Boundary conditions
Finite element method
Natural convection
Nusselt number
Prandtl number
Thermal effects
Issue Date: 2006
Citation: International Journal of Heat and Mass Transfer, 49(23-24), 4525-4535
Abstract: A numerical study to investigate the steady laminar natural convection flow in a square cavity with uniformly and non-uniformly heated bottom wall, and adiabatic top wall maintaining constant temperature of cold vertical walls has been performed. A penalty finite element method with bi-quadratic rectangular elements has been used to solve the governing mass, momentum and energy equations. The numerical procedure adopted in the present study yields consistent performance over a wide range of parameters (Rayleigh number Ra, 103 ? Ra ? 105 and Prandtl number Pr, 0.7 ? Pr ? 10) with respect to continuous and discontinuous Dirichlet boundary conditions. Non-uniform heating of the bottom wall produces greater heat transfer rates at the center of the bottom wall than the uniform heating case for all Rayleigh numbers; however, average Nusselt numbers show overall lower heat transfer rates for the non-uniform heating case. Critical Rayleigh numbers for conduction dominant heat transfer cases have been obtained and for convection dominated regimes, power law correlations between average Nusselt number and Rayleigh numbers are presented. � 2006 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2006.05.015
http://hdl.handle.net/11717/8621
ISSN: 179310
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