Math 2.0

Classical thermodynamics, heat transfer Heat conduction Concept

Cattaneo–Vernotte equation

Summary

The Cattaneo–Vernotte equation is a law of heat conduction that adds a relaxation time to Fourier's law. The heat flux does not react to a temperature gradient at once, but relaxes towards the Fourier value. Combined with conservation of energy, it gives a damped wave equation for the temperature. So heat travels with a finite speed instead of the infinite speed of the heat equation.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Second_sound
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Changed3 November 2026

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