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物性依赖温度的热传导方程的近似解(Ⅰ) 被引量:1

THE APPROXIMATE SOLUTION OF THE NONLINEAR HEAT-CONDUCTION EQUATION(Ⅰ)
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摘要 In this paper the approximate solution of one-dimensional nonlinear transient heat conduction equation with the constant temperature boundaries is obtained by the combination of analysis expression of time T, derived from the separation variables method, and approximate expression of x, resulting from the presented method. In this paper the approximate solution of one-dimensional nonlinear transient heat conduction equation with the constant temperature boundaries is obtained by the combination of analysis expression of time T, derived from the separation variables method, and approximate expression of x, resulting from the presented method.
出处 《工程热物理学报》 EI CAS CSCD 北大核心 1999年第5期623-626,共4页 Journal of Engineering Thermophysics
关键词 非线性 热传导方程 近似解 等温边界条件 nonlinear heat-conduction equation, approximate solution, constant temperature boundary condition
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参考文献1

  • 1段志文,博士学位论文,1998年

同被引文献8

  • 1程建春.数学物理方程及其近似方法[M].北京:科学出版社,2005.
  • 2张均波,张敏,Chai John C.非线性热传导问题的基尔霍夫变换方法的研究[J].中国科技论文在线(www.paper.edu.cn),2008.
  • 3Chu Hsin-Ping, Chen Chieh-Li. Hybrid differential transform and finite difference method to solve the nonlinear heat conduction problem[J]. Communication in Nonlinear Science and Numerical Simulation, 2008, 13:1605 -1614.
  • 4钱吉裕 李强 余凯 宣益民.确定复杂多孔介质导热系数的新方法.中国科学(E),2005,34(11):1247-1255.
  • 5Chen S, Doolen G. Lattice Boltzmann method for fluid flows[J]. Annual Rev of Fluid Meeh, 1998, 30:329 -364.
  • 6Yan Guangwu. A lattice boltzmann equation for waves[J]. Journal of Computational Physics, 2000, 161:61 -69.
  • 7阎广武,阎广武.用格子Boltzmann方法研究Burgers方程[J].力学学报,1999,31(2):143-151. 被引量:20
  • 8唐桂华,何雅玲,伍华荣,陶文铨.二维平板通道中流动与传热的格子-Boltzmann模拟[J].工程热物理学报,2003,24(6):995-997. 被引量:3

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