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Heat Conductors

  • Giovambattista Amendola
  • Mauro Fabrizio
  • John Murrough Golden
Chapter

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Giovambattista Amendola
    • 1
  • Mauro Fabrizio
    • 2
  • John Murrough Golden
    • 3
  1. 1.Dipartimento di Matematica Applicata “U. Dini”University of PisaPisaItaly
  2. 2.Dipartimento di MatematicaUniversity of BolognaBolognaItaly
  3. 3.School of Mathematical SciencesDublin Institute of TechnologyDublin 8Ireland

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