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Explicit analytical solutions of the anisotropic Brinkman model for the natural convection in porous media(Ⅱ)

Science china(Physics,Mechanics & Astronomy) 2005年第4期48卷 422-430页

作者： cai ruixian1. gou chenhua1. 2.& zhang na1.1. institute of engineering thermophysics, Chinese {1. of Sciences,{2., china 2. Graduate School, Chinese {1. of Sciences,{2., china 1. institute of {1. thermophysics Chinese Academy of Sciences 100080 Beijing China 2. Graduate School Chinese Academy of Sciences 10080 Beijing China

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, in analyzing the non-Darcy and anisotropic effects on the convection), such analytical solutions can be the benchmark solutions that can promote the development of computational heat and mass transfer. Some solutions considering the anisotropic effect of permeability have been given previously by the authors, and this paper gives solutions including the anisotropic effect of thermal conductivity and the effect of heat sources.

关键词： explicit analytical solution, porous medium, natural convection, Brinkman model, anisotropic.

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Explicit analytical solutions fof transport equations considering non-Fourier and non-Fick effects in porous media

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Progress in natural Science:Materials International 2005年第6期 545-549页

作者： gou chenhua 1,2., {2. ruixian1.* and zhang na1.1. institute of engineering thermophysics, Chinese academy of Sciences, beijing 1.0080, china 2. Graduate School, Chinese academy of Sciences, beijing 1.0080, china)

Based on the method of separation variables with addition developed in recent years, new methods of separation variables are proposed, and two algebraically explicit analytical solutions to the general partial differential equation set of non-Fourier and non-Fick heat and mass transfer in porous media drying are derived. The physical meaning of these solutions is simple and clear, and they are valuable for computational heat and mass transfer as benchmark solutions.

关键词： non-Fourier effects non-Fick effects porous media heat and mass transfer analytical solution.

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Explicit analytical solutions of axisymmetric laminar natural convection along vertical tubes

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Progress in natural Science:Materials International 2005年第3期 66-69页

作者： cai ruixian ˇˇ ,{2. na and gou chenhua (institute of engineering thermophysics,Chinese academy of Sciences,beijing1.0080,{12.) institute of {1. {2. Chinese Academy of Sciences Beijing 100080 China

There are many natural convection processes in various fields,and it is still valuable to investigate the fluid dynamics and heat transfer of natural *** analytical solutions are meaningful in both theoretical investigation and practical ***-cially,they can be used as the benchmark solutions to check the numerical solutions and to develop numerical differencing schemes,grid generation methods and so *** explicit analytical solutions of axisymmetric steady laminar natural convection along a vertical tube with porous wall and between two vertical concentric tubes are derived for better understanding of the flow and heat transfer as well as promot-ing the computational fluid dynamics and computational heat transfer.

关键词： analytical solution natural convection laminar flow boundary layer vertical cylindrical tube.

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