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How thermal wave propagates in solids? 


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Thermal wave propagation in solids involves the coupling between elastic deformation and heat conduction . The microstructure of the solid influences these processes, and the energy conservation in elastic deformation and dissipative nature of heat conduction require a generalized approach. One approach is to use a hyperbolic evolution equation for microtemperature and a parabolic equation for macrotemperature . Numerical simulations demonstrate the formation and propagation of thermoelastic waves in microstructured solids under thermal loading . Additionally, the nonlinear hyperbolic system of heat flux relaxation and energy conservation equations can be used to describe cylindrical thermal waves in solid media . These equations, with a general power law temperature dependence, allow for the consideration of various materials with temperature-dependent heat conduction coefficients . It is important to note that the nature of thermal waves in solids is still a topic of debate, with some arguing that they do not transport energy .

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The paper states that there is no wave nature in thermal waves in solids as they do not transport energy.
The paper discusses the propagation of thermal waves in solids induced by a time-varying and spatially-decaying laser irradiation. It compares the classical diffusion model and the Cattaneo-Vernotte model for heat conduction.
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Arkadi Berezovski, Mihhail Berezovski 
01 Jan 2016
1 Citations
The paper discusses the formation and propagation of thermoelastic waves in microstructured solids under thermal loading. It explains that the microstructure of the solid influences the coupling between elastic deformation and heat conduction, resulting in wave-like behavior for both macrotemperature and microtemperature.
The paper provides analytic solutions for cylindrical thermal waves in solids based on a nonlinear hyperbolic system of heat flux relaxation and energy conservation equations. It mentions the self-similar Ansatz for the temperature distribution and heat flux, resulting in continuous and shock-wave solutions. However, it does not explicitly explain how thermal waves propagate in solids.

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