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An analytical solution of heat conduction on a locally nonuniformly heated surface of a plate with finite thickness

✍ Scribed by Wang Mingrui; Jin Hui

Publisher
Springer
Year
1996
Tongue
English
Weight
285 KB
Volume
17
Category
Article
ISSN
0253-4827

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✦ Synopsis

In engineering and technology, the following problem is often touched upon." A certain portion of a plate with finite thickness is heated on its supface, so that the heat flux along the surface is distributed nonuniformly and varying with time. For this kind of heat conduction, there is no available analytical solution given hi 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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An analytical solution of the hyperbolic
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✍ M. Lewandowska; L. Malinowski πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 162 KB

This paper presents an analytical solution of the hyperbolic heat conduction equation for the case of a thin slab symmetrically heated on both sides. In the mathematical model adopted, the heating is treated as an internal heat source with capacity dependent on coordinate and time, while walls of th