LINEARITY OF THE STEADY-STATE OF A NONLINEAR ANISOTROPIC DIFFUSION PROCESS

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题名:	LINEARITY OF THE STEADY-STATE OF A NONLINEAR ANISOTROPIC DIFFUSION PROCESS
作者:	LEI,HC;WU,LJ
贡献者:	土木工程研究所
关键词:	CONDUCTIVITY;EQUATION
日期:	1995
上传时间:	2010-06-29 17:11:00 (UTC+8)
出版者:	中央大學
摘要:	The nonlinear equation describing the steady state of a nonlinear anisotropic diffusion process can be transformed to a special type of linear partial differential equation using the Kirchhoff transformation together with the hodograph transformation. The method of separation of variables is employed to obtain exact solutions. A solution with a domain bounded by two ellipses is studied in detail for the materials which have a linear conductivity function in one direction and a constant conductivity function in the other direction. Comparison of the adopted approach with the similarity reduction approach is also presented, though the obtained results cannot be easily found via the latter approach. A special case is found in which the transformed linear equation can be reduced further to the Laplace equation.
關聯:	JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS
显示于类别:	[土木工程研究所] 期刊論文

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