A new method for deriving analytical solutions of partial differential equations - Algebraically explicit analytical solutions of two-buoyancy natural convection in porous media

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	A new method for deriving analytical solutions of partial differential equations - Algebraically explicit analytical solutions of two-buoyancy natural convection in porous media
	Cai RuiXian; Liu QiBin
刊名	SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY
	2008-11-01
卷号	51 期号:11 页码:1733-1744
关键词	analytical solution hybrid method of separating variables two-buoyancy natural convection porous medium
英文摘要	Analytical solutions of governing equations of various phenomena have their irreplaceable theoretical meanings. In addition, they can also be the benchmark solutions to verify the outcomes and codes of numerical solutions, and even to develop various numerical methods such as their differencing schemes and grid generation skills as well. A hybrid method of separating variables for simultaneous partial differential equation sets is presented. It is proposed that different methods of separating variables for different independent variables in the simultaneous equation set may be used to improve the solution derivation procedure, for example, using the ordinary separating method for some variables and using extraordinary methods of separating variables, such as the separating variables with addition promoted by the first author, for some other variables. In order to prove the ability of the above-mentioned hybrid method, a lot of analytical exact solutions of two-buoyancy convection in porous media are successfully derived with such a method. The physical features of these solutions are given.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Physics, Multidisciplinary
研究领域[WOS]	Physics
关键词[WOS]	ANISOTROPIC BRINKMAN MODEL ; HEAT-CONDUCTION ; FLOW
收录类别	SCI
语种	英语
WOS记录号	WOS:000259769100015
公开日期	2015-12-22
内容类型	期刊论文
源URL	[http://ir.etp.ac.cn/handle/311046/106359]
专题	工程热物理研究所_中国科学院工程热物理所（论文库）_期刊论文（SCI）
作者单位	Chinese Acad Sci, Inst Engn Thermophys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cai RuiXian,Liu QiBin. A new method for deriving analytical solutions of partial differential equations - Algebraically explicit analytical solutions of two-buoyancy natural convection in porous media[J]. SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY,2008,51(11):1733-1744.
APA	Cai RuiXian,&Liu QiBin.(2008).A new method for deriving analytical solutions of partial differential equations - Algebraically explicit analytical solutions of two-buoyancy natural convection in porous media.SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY,51(11),1733-1744.
MLA	Cai RuiXian,et al."A new method for deriving analytical solutions of partial differential equations - Algebraically explicit analytical solutions of two-buoyancy natural convection in porous media".SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY 51.11(2008):1733-1744.