Algebraically explicit analytical solutions of two-buoyancy natural convection in porous media  

作　　者：CAI Ruixian ZHANG Na LIU Weiwei 

机构地区：[1]Institute of Engineering Thermophysics,Chinese Academy of Sciences,Beijing 100080,China

出　　处：《Progress in Natural Science:Materials International》2003年第11期848-850,859,共4页自然科学进展·国际材料(英文版)

基　　金：theNationalNaturalScienceFoundationofChina (GrantNo .5 0 2 460 0 3 )andtheMajorStateBasicResearchDevelopmentProgramofChina (GrantNo .G2 0 0 0 0 2 63 )

摘　　要：Analytical solutions of governing equations of various physical phenomena have their own irreplaceable theoretical meaning. In addition, they can also be the benchmark solutions to verify the outcomes and codes of numerical solution, and to develop various numerical methods such as their differencing schemes and grid generation skills as well. In order to promote the development of the discipline of natural convection, three simple algebraically explicit analytical solution sets are derived for a non-linear simultaneous partial differential equation set with five dependent unknown variables, which represents the natural convection in porous media with both temperature and concentration gradients. An extraordinary method separating variables with addition is applied in this paper to deduce solutions.Analytical solutions of governing equations of various physical phenomena have their own irreplaceable theoretical meaning. In addition, they can also be the benchmark solutions to verify the outcomes and codes of numerical solution, and to develop various numerical methods such as their differencing schemes and grid generation skills as well. In order to promote the development of the discipline of natural convection, three simple algebraically explicit analytical solution sets are derived for a non-linear simultaneous partial differential equation set with five dependent unknown variables, which represents the natural convection in porous media with both temperature and concentration gradients. An extraordinary method separating variables with addition is applied in this paper to deduce solutions.

关 键 词：explicit analytical solution natural convection porous medium temperature gradient concentration gradient. 

分 类 号：O357.3[理学—流体力学]