A Two-Equation Model for Heat Conduction in Porous Media (II: Application) |
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| Authors: | Fourie J G Du Plessis J P |
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| Institution: | (1) Institute of Technology, British Columbia, 3700 Willingdon Avenue, Burnaby, BC, Canada, V5G 3H2;(2) Department of Applied Mathematics, University of Stellenbosch, Private Bag X1, Matieland, 7602, South Africa |
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| Abstract: | The formulism of a two-equation model for heat conduction in porous media, developed in a previous paper, is applied to the case of steady state one-dimensional heat transfer in a porous medium that is made up of geometrically similar units of similar size and of ordered spatial distribution. For this case study, the model-predicted locally volume-averaged temperature distributions for the solid and the fluid phase are compared to a numerical solution at a microscopic level, showing excellent agreement. |
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| Keywords: | heat transfer mathematical modelling energy equation volume averaging thermal non-equilibrium effective thermal conductivity coupled thermal conductivity |
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