A new numerical method to simulate the non-Fourier heat conduction in a single-phase medium |
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Authors: | Qing-Mei FanWen-Qiang Lu |
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Affiliation: | Division of Thermal Science, Department of Physics, The Graduate School of the Chinese Academy of Sciences, P.O. Box 3908, Beijing 100039, China |
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Abstract: | Many non-equilibrium heat conduction processes can be described by the macroscopic dual-phase lag model (DPL model). In this paper, a numerical method, which combines the dual reciprocity boundary element method (DRBEM) with Laplace transforms, is constructed to solve such mathematical equation. It is used to simulate the non-Fourier phenomenon of heat conduction in a single-phase medium, then numerically predict the differences between the thermal diffusion, the thermal wave and the non-Fourier heat conduction under different boundary conditions including pulse for one- and two-dimensional problems. In order to check this numerical method's reliability, the numerical solutions are still compared with two known analytical solutions. |
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Keywords: | Non-Fourier heat conduction DPL model Laplace transform DRBEM Thermal wave model |
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