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

作　　者：蔡睿贤 张娜 

出　　处：《Science China Mathematics》2002年第6期808-816,共9页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (Giant Nos. 59846007,59925615) ; NKBRSF (Grant Nos. G1999022309, G2000026305). The authors are grateful to Prof. Liu Dengying, Prof. Zhao Tianshou, Liu Weiwei and Li Lina for

摘　　要：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 develop ment 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.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.

关 键 词：EXPLICIT ANALYTICAL solution  POROUS medium  natural convection  Brinkman model  anisotropic. 

分 类 号：O357.3[理学—流体力学]