Thermodynamically consistent description of heat conduction with finite speed of heat propagation |
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Authors: | Isaac Shnaid |
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Affiliation: | Research and Development Division, The Israel Electric Corporation Ltd., P.O. Box 10, Beit Amir, Haifa 31000, Israel |
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Abstract: | In this work, governing equations for heat conduction with finite speed of heat propagation are derived directly from classical thermodynamics. For a one-dimensional flow of heat, the developed governing equation is linear and of parabolic type. In a three dimensional case, the system of nonlinear equations is formulated.Analytical solutions of the equations for one-dimensional flow of heat are obtained, and their analysis shows characteristic features of heat propagation with finite speed, being fully consistent with classical thermodynamics. |
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Keywords: | Thermodynamics Heat conduction Speed of heat propagation |
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