Heat wave phenomena in solids subjected to time dependent surface heat flux |
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Authors: | G Heidarinejad R Shirmohammadi M Maerefat |
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Institution: | (1) Department of Mechanical Engineering, Tarbiat Modares University, Tehran, 14155-4838, Iran |
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Abstract: | Hyperbolic heat conduction in a plane slab, infinitely long solid cylinder and solid sphere with a time dependent boundary
heat flux is analytically studied. The solution is based on the separation of variables method and Duhamel’s principle. The
temperature distribution, the propagation and reflection of the temperature wave and the effect of geometry on the shape of
the wave front are studied for the case of a rectangular pulsed boundary heat flux. Comparisons with the solution obtained
for Fourier heat conduction are performed by considering the limit of a vanishing thermal relaxation time. |
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Keywords: | |
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