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Research Papers: Micro/Nanoscale Heat Transfer

A Continuum Approach to Thermomass Theory

[+] Author and Article Information
A. Sellitto

Department of Mathematics and Computer Science,  University of Basilicata, Campus Macchia Romana, 85100 Potenza, Italyant.sellitto@gmail.com

V. A. Cimmelli

Department of Mathematics and Computer Science,  University of Basilicata, Campus Macchia Romana, 85100 Potenza, Italyvito.cimmelli@unibas.it

J. Heat Transfer 134(11), 112402 (Sep 28, 2012) (8 pages) doi:10.1115/1.4006956 History: Received December 09, 2011; Accepted June 05, 2012; Published September 26, 2012; Online September 28, 2012

A continuum approach to the thermomass theory for nonlinear heat transport is developed and its compatibility with the general framework of continuum thermodynamics is investigated. The heat flux is supposed to depend on the absolute temperature together with a vectorial internal variable, which is proportional to the drift velocity of the heat carriers. A generalized heat-transport equation, which is capable to bring Fourier, Maxwell–Cattaneo–Vernotte and thermomass-theory equations as special cases is derived. Propagation of heat waves along a nonequilibrium steady state is analyzed as well.

Copyright © 2012 by American Society of Mechanical Engineers
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