非常量导热系数几例微分方程的推立

在本文里,曾先后假设物体的导热系数是依直线和指数函数空间地起改变,就这样来建立了六个二阶热传导微分方程;又对于变密度、变比热、变导热系数这样的更一般的情况也推立了六个二阶热传导的微分方程.

The Differential Equations of Heat Transfer for Some Cases of Variable Thermal Conductivities

By managing the heat conduction problem in solids the thermal conductivity is usually taken as a constant,but in reality varying thermal conductivity reveals in every heat transfer process, Therefore, in the present paper,we wish to consider it to vary with the space coordinate according to a linear and an ex ponential law; basing on this proposal we have been able to set up six secottd order heat conduction differential equations, By the way,for the case of variable density, specific heat as well as thermal conductivity, we have been successful to deduce other similar six heat transfer differential equations.