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

查看全文 作  者:CAI Ruixian*, ZHANG Na and LIU Weiwei (Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080, China) 高影响力作者 出  处:《Progress in Natural Science:Materials International》索引2003年第13卷第11期,共4页高影响力期刊 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. 关 键 词:自然对流 热传递 显式解析解 数值计算 多孔介质 温度梯度 浓度梯度
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