A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials

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Abstract

A thermodynamic derivation is presented of the Maxwell-Cattaneo equation involving a material time, instead of a partial time, derivative of heat flux. The Ansatz is given by the functionals of free energy and dissipation potentials, relying on an extended state space and a representation theory of Edelen.

Original languageEnglish (US)
Pages (from-to)807-810
Number of pages4
JournalInternational Journal of Engineering Science
Volume47
Issue number7-8
DOIs
StatePublished - Jul 1 2009

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Maxwell equations
Free energy
Heat flux
Thermodynamics
Derivatives

Keywords

  • Heat conduction
  • Maxwell1-Cattaneo equation
  • Second sound
  • Thermodynamics

ASJC Scopus subject areas

  • Engineering(all)

Cite this

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title = "A derivation of the Maxwell-Cattaneo equation from the free energy and dissipation potentials",
abstract = "A thermodynamic derivation is presented of the Maxwell-Cattaneo equation involving a material time, instead of a partial time, derivative of heat flux. The Ansatz is given by the functionals of free energy and dissipation potentials, relying on an extended state space and a representation theory of Edelen.",
keywords = "Heat conduction, Maxwell1-Cattaneo equation, Second sound, Thermodynamics",
author = "Starzewski, {Martin Ostoja}",
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KW - Maxwell1-Cattaneo equation

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KW - Thermodynamics

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