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 heat 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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References
Zhang Hongji, Heat Conduction, Advanced Education Publishing House, (1992). (in Chinese)
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A. B. Raikov, Heat Conductional Theory, Advanced Education Publishing House (Qiu Liejun et al. translate), (1956).
Takawuzhi Yowuyizhilong, Heat Stress, Science Publishing House (Guo Yanwei et al. translate), (1977).
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Communicated by Zhang Shisheng
Project supported by the foundation of 863 High Power Laser Technology
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Mingrui, W., Hui, J. An analytical solution of heat conduction on a locally nonuniformly heated surface of a plate with finite thickness. Appl Math Mech 17, 487–493 (1996). https://doi.org/10.1007/BF00131097
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DOI: https://doi.org/10.1007/BF00131097