非常量导热系数的热传导问题的一些精确解

Some Exact Salutions for Heat Conduction Problems with Variable Thermal Conductivities

非常量导热系数的热传导问题,文献[2]及[3]首先进行过一些探索性的研究.最近,文献[1]用两种不同的数字模型在直角坐标系中得到了用特殊函数描的精确解.本文把基本方程降为一阶,从而得到了某些特殊情形下,用三角函数表示的非常量导热系数的热传导问题的精确解.

The heat conduction problems with variable thermal conductiuities were dis-cussed by liu[2],[3] firstly and lately, using two uariable numerical models, Shen[1] obtaimed the exact solutions being expressed by especial functions. In this paper, dropping the steps of the fun-damental differential equation, the author obtains some exact solutions being exprossed by triangle functions for the heat conduction problems with variable thermal conductiuities.