Study on thermal wave based on the thermal mass theory |
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Authors: | RuiFeng Hu BingYang Cao |
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Affiliation: | (1) Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engeering Mechanics, Tsinghua University, Beijing, 100084, China |
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Abstract: | The conservation equations for heat conduction are established based on the concept of thermal mass. We obtain a general heat
conduction law which takes into account the spatial and temporal inertia of thermal mass. The general law introduces a damped
thermal wave equation. It reduces to the well-known CV model when the spatial inertia of heat flux and temperature and the
temporal inertia of temperature are neglected, which indicates that the CV model only considers the temporal inertia of heat
flux. Numerical simulations on the propagation and superposition of thermal waves show that for small thermal perturbation
the CV model agrees with the thermal wave equation based on the thermal mass theory. For larger thermal perturbation, however,
the physically impossible phenomenon predicted by CV model, i.e. the negative temperature induced by the thermal wave superposition,
is eliminated by the general heat conduction law, which demonstrates that the present heat conduction law based on the thermal
mass theory is more reasonable.
Supported by the National Natural Science Foundation of China (Grant No. 50606018) |
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Keywords: | thermal wave thermal mass theory non-Fourier heat conduction CV mode |
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