Condensed Matter

    

Modified Cattaneo-Vernotte Equation for Heat Transfer in Solids

Authors: Victor L. Mironov

We propose a modified Cattaneo-Vernotte relation between heat flux and temperature gradient, which leads to a second-order equation describing the evolution of temperature in solids with finite rate of propagation. A comparison of the temperature field spreading in the framework of Fourier, Cattaneo-Vernotte (CV) and modified Cattaneo-Vernotte (MCV) equations is discussed. The comparative analysis of MCV and Fourier solutions is carried out on the example of simple problem of plate cooling.

Comments: 11 Pages.

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[v1] 2022-10-20 07:34:45

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