Modified Cattaneo-Vernotte equation for heat transfer in solids

Victor L. Mironov

Article ID: 8050
Vol 7, Issue 2, 2024

VIEWS - 75 (Abstract) 46 (PDF)

Abstract


We propose a modified 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 one-dimensional problem of a plate cooling.


Keywords


Non-Fourier thermal conductivity; modified Cattaneo-Vernotte equation; microscale heat transfer

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DOI: https://doi.org/10.24294/tse.v7i2.8050

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