| Algebraically explicit analytical solutions of unsteady conduction with variable thermal properties in cylindrical coordinate |
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| 作者姓名： | CAI Ruixian ZHANG Na |
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| 作者单位： | Institute of Engineering Thermophysics,Chinese Academy of Sciences,Beijing 100080,China,Institute of Engineering Thermophysics,Chinese Academy of Sciences,Beijing 100080,China |
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| 基金项目： | 国家自然科学基金，国家重点基础研究发展计划(973计划) |
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| 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 solutions in rectangular coordinates have been derived by the authors.Some other solutions for 1-D and 2-D axisymmetrical heat conduction in cylin drical coordinates are given in this paper to promote the heat conduction theory and to develop the relative computational heat conduction.
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| 关 键 词： | analytical solution heat conduction nonlinear variable thermal property cylindrical coordinates |
Algebraically explicit analytical solutions of unsteady conduction with variable thermal properties in cylindrical coordinate |
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| CAI Ruixian,ZHANG Na.Algebraically explicit analytical solutions of unsteady conduction with variable thermal properties in cylindrical coordinate[J].Progress in Natural Science,2004,14(4):314-321. |
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| Authors: | CAI Ruixian ZHANG Na |
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| Institution: | Institute of Engineering Thermophysics,Chinese Academy of Sciences,Beijing 100080,China |
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| Abstract: | 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 cylin drical coordinates are given in this paper to promote the heat conduction theory and to develop the relative computational heat conduction. |
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| Keywords: | analytical solution heat conduction nonlinear variable thermal property cylindrical coordinates |
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