Heat Conductors

Giovambattista Amendola (), Mauro Fabrizio () and John Murrough Golden ()
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Giovambattista Amendola: University of Pisa, Dipartimento di Matematica Applicata “U. Dini”
Mauro Fabrizio: University of Bologna, Dipartimento di Matematica
John Murrough Golden: Dublin Institute of Technology, School of Mathematical Sciences

Chapter Chapter 8 in Thermodynamics of Materials with Memory, 2012, pp 199-216 from Springer

Abstract: Abstract To remove the paradox of classical Fourier theory relating to the instantaneous propagation of thermal disturbances, Cattaneo [29] suggested a generalized Fourier law, which he justified by means of statistical considerations. This constitutive equation relates the heat flux, its time derivative, and the temperature gradient. It is referred to as the Cattaneo–Maxwell relation, since Maxwell [170] previously obtained it but immediately eliminated the term involving the time derivative of the heat flux. It leads to a hyperbolic heat equation.

Keywords: Heat Conductor; Constitutive Equation; Internal Energy; Relaxation Function; Maxwell Relation (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-1692-0_8

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