Variational formulation of hyperbolic heat conduction problems applying Laplace transform technique |
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Authors: | A Saleh M Al-Nimr |
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Affiliation: | 1. Mechanical Engineering Department, Philadelphia University, Amman, Jordan;2. Mechanical Engineering Department, JUST, Irbid, Jordan |
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Abstract: | In this paper, a non-Fourier heat conduction problem is analyzed by employing newly developed theory. Application of conventional numerical schemes leads to strong oscillations of the results around discontinuities in solution domain. To overcome this difficulty the variational formulation of the Laplace-transformed hyperbolic heat conduction equation is developed. The results were used for evaluation of parameters used in approximate transformed temperature profiles. To validate the approach the results were compared with the exact analytical solution solved at special case and with an approach previously reported in the literature. Both showed a close agreement with the proposed approach. |
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Keywords: | Hyperbolic heat conduction equation Variational formulation Laplace transform |
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