Explicit analytical solutions of the anisotropic Brinkman model for the natural convection in porous media |
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| Authors: | Cai Ruixian and Zhang Na |
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| Institution: | Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | Some algebraically explicit analytical solutions are derived for the anisotropic Brinkman model-an improved Darcy model-describing
the natural convection in porous media. Besides their important theoretical meaning (for example, to analyze the non-Darcy
and anisotropic effects on the convection), such analytical solutions can be the benchmark solutions to promoting the development
of computational heat and mass transfer. For instance, we can use them to check the accuracy, convergence and effectiveness
of various numerical computational methods and to improve numerical calculation skills such as differential schemes and grid
generation ways. |
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| Keywords: | explicit analytical solution porous medium natural convection Brinkman model anisotropic |
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