Derive Cattaneo–Vernotte Law w/Proof

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SUMMARY

The Cattaneo–Vernotte law, which addresses heat conduction, requires a rigorous mathematical derivation to establish its validity. The discussion highlights the inadequacy of the proof provided on Wikipedia, indicating that it lacks comprehensive justification. Participants emphasize the need for a detailed examination of the law's assumptions and implications, particularly in the context of non-Fourier heat conduction models. The consensus is that a formal proof is essential for a complete understanding of the law's application in thermodynamics.

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  • Understanding of thermodynamics principles
  • Familiarity with heat conduction theories
  • Basic knowledge of mathematical proofs
  • Experience with non-Fourier heat conduction models
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  • Research the mathematical foundations of the Cattaneo–Vernotte law
  • Study non-Fourier heat conduction models in detail
  • Explore advanced thermodynamics textbooks for comprehensive proofs
  • Examine peer-reviewed articles on heat conduction and its applications
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Researchers, physicists, and engineers specializing in thermodynamics, particularly those focused on heat conduction and its mathematical modeling.

mohammed El-Kady
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TL;DR
derivation of the law
I need to know the derivation of Cattaneo–Vernotte law. "if it has a proof"
 
Science news on Phys.org
Wikipedia has some motivation. It does not seem to be a proof.
 

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