Journal
JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
Volume 92, Issue 6, Pages 1537-1547Publisher
SPRINGER
DOI: 10.1007/s10891-019-02074-7
Keywords
anisotropic semispace; wave heat transfer; relaxation time; nonstationary temperature field; boundary condition of the second type; thermal conductivity tensor
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Funding
- Russian Scientific Foundation [16-19-10340]
- Russian Science Foundation [19-19-13044, 16-19-10340] Funding Source: Russian Science Foundation
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Based on a novel analytical solution of the problem of wave heat transfer in an anisotropic semispace under the action of a nonstationary point source of thermal energy, a study was made of a nonequilibrium thermal state of this space originating as a result of its delay (for the time of heat flux density relaxation) from the temperature gradient on the semispace surface. Based on the extended Vernotte-Cattaneo-Luikov hypothesis, a new law of wave heat transfer has been formulated having the form of the Fourier law, and a wave equation has been derived for heat transfer of parabolic type with a lagging argument in time equal to the relaxation time derived.
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