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

Martin Ostoja-Starzewski

doi:10.1016/j.ijengsci.2009.03.002

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

Martin Ostoja-Starzewski

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	807-810
Number of pages	4
Journal	International Journal of Engineering Science
Volume	47
Issue number	7-8
DOIs	https://doi.org/10.1016/j.ijengsci.2009.03.002
State	Published - Jul 2009

Keywords

Heat conduction
Maxwell1-Cattaneo equation
Second sound
Thermodynamics

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
General Engineering
Mechanical Engineering

Online availability

10.1016/j.ijengsci.2009.03.002

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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 = "Martin Ostoja-Starzewski",

note = "Constructive discussions with G.A. Maugin and comments of two anonymous reviewers are gratefully appreciated. This research was made possible by the support from the NSF under Grant CMMI-0833070.",

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N1 - Constructive discussions with G.A. Maugin and comments of two anonymous reviewers are gratefully appreciated. This research was made possible by the support from the NSF under Grant CMMI-0833070.

PY - 2009/7

Y1 - 2009/7

N2 - 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.

AB - 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.

KW - Heat conduction

KW - Maxwell1-Cattaneo equation

KW - Second sound

KW - Thermodynamics

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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