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FUNDAMENTALS OF HEAT CONDUCTION IN ANISOTROPIC MEDIA

机译:各向异性介质中导热的基本原理

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This paper discusses mathematical and physical fundamentals of heat conduction in anisotropic media dealing with Fourier's constitutive law, symmetry of conductivity tensor, mutual geometrical relations between heat flux vector and temperature gradient directions as wel l as the thermal contact resistance in anisotropic bodies. I t presents heat conduction differential equation with an appropriate coordinate axis transformation enabling to transform anisotropic problems to isotropic ones. It gives also a short survey of the experimental methods used to determine the conductivity tensor components together with the analytica l and numerical methods applied for finding solutions of anisotropic heat conduction problems.
机译:本文讨论了各向异性介质中导热的数学和物理基础,涉及傅立叶本构定律,电导率张量的对称性,热通量矢量和温度梯度方向之间的相互几何关系,以及各向异性体中的热接触电阻。它给出了具有适当坐标轴变换的热传导微分方程,能够将各向异性问题转化为各向同性问题。它还简要介绍了用于确定电导率张量分量的实验方法以及用于寻找各向异性导热问题解决方案的分析方法和数值方法。

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