Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation

The phase-lagging equation (PLE) is a new heat conduction equation which is different from the traditional heat equation since there exists a time lag of the heat-flux vector, while the damped wave equation (DWE) is its first-order approximation. In this article, we study the difference between the...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2005-05, Vol.48 (11), p.2233-2241
Main Authors: Su, S., Dai, W., Jordan, P.M., Mickens, R.E.
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Nonelectronic thermal conduction and heat-pulse propagation in solids
thermal waves
Physics
Transport properties of condensed matter (nonelectronic)
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Summary:The phase-lagging equation (PLE) is a new heat conduction equation which is different from the traditional heat equation since there exists a time lag of the heat-flux vector, while the damped wave equation (DWE) is its first-order approximation. In this article, we study the difference between the solutions of the PLE and the DWE by investigating the solutions of a test problem. Results show that the level of the solution obtained by the PLE is smaller in magnitude than the one obtained by the DWE, and that the DWE is a good approximation to the PLE when the time lag is small.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2004.12.024