有限厚平板局部表面非均布局部加热的热传导解*

在工程技术上常遇到如下问题;一个有一定厚度的平板,在其一个表面的某个局部区域内加热,热流沿边界面非均匀分布,且随时间变化。这类问题在已有的热传导专着中无现成的解析解可供使用。本文给出了此问题的解析解,其计算结果与实验对照,符合得很好。

An Analytical Solution of Heat Conduction on a Locally Nonvniformly Heated Surface of a Plale with Finite Thickness

In engineering and technology the following problem is often touched upon: a certain portion of a plate with finite thickness is heated on its surface, so that the heat flux along the surface is distributed nonuniformly and varying with time. For this kind of heat conduction I there is no available analytical solution given in existing treat ises concerning heat conduction. This paper presents an analytical solution of this problem: its calculation results are in good agreement with the experimental data.