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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (5): 487-493.

• 论文 • 上一篇    

AN ANALYTICAL SOLUTION OF HEAT CONDUCTION ON A LOCALLY NONUNIFORMLY HEATED SURFACE OF A PLATE WITH FINITE THICKNESS

王明锐, 靳辉   

  1. Peking Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China
  • 收稿日期:1994-02-22 修回日期:1995-03-07 出版日期:1996-05-18 发布日期:1996-05-18
  • 基金资助:

    Project supported by the foundation of 863 Hieh Power Laser Technology

AN ANALYTICAL SOLUTION OF HEAT CONDUCTION ON A LOCALLY NONUNIFORMLY HEATED SURFACE OF A PLATE WITH FINITE THICKNESS

Wang Mingrui, Jin Hui   

  1. Peking Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China
  • Received:1994-02-22 Revised:1995-03-07 Online:1996-05-18 Published:1996-05-18
  • Supported by:

    Project supported by the foundation of 863 Hieh Power Laser Technology

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摘要： 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.

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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