Algebraically explicit analytical solutions of unsteady conduction with variable thermal properties in cylindrical coordinate  

作　　者：CAIRuixian ZHANGNa 

机构地区：[1]InstituteofEngineeringThermophysics,ChineseAcademyofSciences,Beijing100080,China

出　　处：《Progress in Natural Science:Materials International》2004年第4期314-321,共8页自然科学进展·国际材料（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 50246003) ; the Major State Basic Research Development Program of China (Grant No. G20000263)

摘　　要：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, they are very useful to the computational heat conduction to check the numerical solutions and to develop numerical schemes, grid generation methods and so forth. Such solutionsin rectangular coordinates have been derived by the authors. Some other solutions for 1-D and 2-D axisymmetrical heat conduction in cylindrical coordinates are given in this paper to promote the heat conduction theory and to develop the relative computational heat conduction.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, they are very useful to the computational heat conduction to check the numerical solutions and to develop numerical schemes, grid generation methods and so forth. Such solutions in rectangular coordinates have been derived by the authors. Some other solutions for 1-D and 2-D axisymmetrical heat conduction in cylindrical coordinates are given in this paper to promote the heat conduction theory and to develop the relative computational heat conduction.

关 键 词：analytical solution heat conduction NONLINEAR variable thermal property cylindrical coordinates. 

分 类 号：O551.3[理学—热学与物质分子运动论] O175.2[理学—物理]