有限厚平板局部表面非均布局部加热的热传导解*
An Analytical Solution of Heat Conduction on a Locally Nonvniformly Heated Surface of a Plale with Finite Thickness
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摘要: 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。Abstract: 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 heal conduction, there is no available analytical solution given in existing treatises concerning heat conduction. This paper presents an analytical solution of this problem, its calculation results are in good agreement with the experimental data.
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Key words:
- plate /
- heat conduction /
- analytical solution
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[1] 张洪济,《热传导》,高等教育出版社(1992). [2] 俞昌铭,《热传导及其数值分析》,清华大学出版社(1981). [3] A,B,雷柯夫,《热传导理论》(裘烈钧等译),高等教育出版社(1956). [4] 竹内洋一郎,《热应力》(郭延玮等译),科学出版社(1977)
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