ANALYTICAL_SOLUTIONS

作品数：179被引量：284H指数：9
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  • 期刊=Progress in Natural Science:Materials Internationalx
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Explicit analytical solutions fof transport equations considering non-Fourier and non-Fick effects in porous media被引量：2
《Progress in Natural Science:Materials International》2005年第6期545-549,共5页GOUChenhua CAIRuixian ZHANGNa 
SupportedbytheNationalNaturalScienceFoundationofChina(GrantNo.50246003)andtheMajorStateBasicResearchDevelopmentProgramofChina(GrantNo.G20000263)
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 differe...
关键词：non-Fourier effects non-Fick effects porous media heat and mass transfer analytical solution 
Explicit analytical solutions of axisymmetric laminar natural convection along vertical tubes被引量：1
《Progress in Natural Science:Materials International》2005年第3期258-261,共4页CAIRuixian ZHANGNa GOUChenhua 
NationalNaturalScienceFoundationofChina (GrantNo .5 0 2 460 0 3 )andMajorStateBasicResearchDevelopmentProgramofChi na (GrantNo .G2 0 0 0 0 2 63 )
There are many natural convection processes in various fields, and it isstill valuable to investigate the fluid dynamics and heat transfer of natural convection Theanalytical solutions are meaningful in both theoretic...
关键词：analytical solution natural convection laminar flow boundary layer vertical cylindrical tube 
Algebraically explicit analytical solutions of unsteady conduction with variable thermal properties in cylindrical coordinate被引量：3
《Progress in Natural Science:Materials International》2004年第4期314-321,共8页CAIRuixian ZHANGNa 
Supported by the National Natural Science Foundation of China (Grant No. 50246003) ; the Major State Basic Research Development Program of China (Grant No. G20000263)
The analytical solutions of unsteady heat conduction with variable thermal properties (thermal conductivity, density and specific heat are functions of temperature or coordinates) are meaningful in theory. In addition...
关键词：analytical solution heat conduction NONLINEAR variable thermal property cylindrical coordinates. 
Algebraically explicit analytical solutions of two-buoyancy natural convection in porous media被引量：2
《Progress in Natural Science:Materials International》2003年第11期848-850,859,共4页CAI Ruixian ZHANG Na LIU Weiwei 
theNationalNaturalScienceFoundationofChina (GrantNo .5 0 2 460 0 3 )andtheMajorStateBasicResearchDevelopmentProgramofChina (GrantNo .G2 0 0 0 0 2 63 )
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 num...
关键词：explicit analytical solution natural convection porous medium temperature gradient concentration gradient. 
Explicit analytical solutions of the coupled differential equations for porous material drying被引量：2
《Progress in Natural Science:Materials International》2000年第2期74-79,共6页蔡睿贤 张娜 
Project supported by the National Natural Science Foundation of China (Grant No. 59846006).
Some explicit analytical solutions are derived for the coupled partial differential equation set describing porous material drying with two extraordinary methods proposed by the authors, i.e. the method of separating ...
关键词：COUPLED heat and mass transfer analytical solution DRYING POROUS material. 
One-dimensional algebraic explicit analytical solutions of unsteady non-Fourier heat conduction in a sphere被引量：3
《Progress in Natural Science:Materials International》1999年第1期34-39,共6页蔡睿贤 张娜 何咏梅 
Project supported by the National Natural Science Foundation of China (Grant No. 59546007).
A set of algebraic explicit analytical solutions (without special functions) is derived for the one-dimensional unsteady non-Fourier heat conduction equation in a sphere, including the temperature distribution and hea...
关键词：non-Fourier heal conduction analytical solution 1-D UNSTEADY criterion for EXISTENCE of heat wave. 
Unsteady one-dimensional analytical solutions for bioheat transfer equations被引量：3
《Progress in Natural Science:Materials International》1998年第6期94-100,共7页蔡睿贤 张娜 
Project supported by the National Natural Science Foundation of China (Grant No. 59546007).
Reasonable explicit analytical solutions are derived for the widely used three types of bioheat transfer equations i. e. Pennes equation, Wang equation and Chen-Holmes equation, as well as their revised forms consider...
关键词：bioheat TRANSFER UNSTEADY ANALYTICAL solution. 
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