Analytic solutions of a two-dimensional rectangular heat equation with a heat source |
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| Authors: | H M Srivastava K Y Kung K -J Wang |
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| Institution: | (1) Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, V8W 3R4, Canada;(2) Department of Mechanical Engineering, Nan-Ya Institute of Technology, Chung-Li, 32034, Taiwan, Republic of China;(3) Department of Industrial Management, National Taiwan University of Science and Technology, Taipei, 10673, Taiwan, Republic of China |
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| Abstract: | The method of separation of variables is applied in order to investigate the analytical solutions of a certain two-dimensional
rectangular heat equation. In the analysis presented here, the partial differential equation is directly transformed into
ordinary differential equations. The closed-form transient temperature distributions and heat transfer rates are generalized
for a linear combination of the products of Fourier-Bessel series of the exponential type. Relevant connections with some
other closely-related recent works are also indicated. |
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| Keywords: | |
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