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Generalized heat equation and transitions between different heat-transport regimes in narrow stripes

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Abstract In the framework of weakly nonlocal thermodynamic theory, in this paper we derive a nonlocal and nonlinear heat-transport equation beyond the Fourier law by means of thermodynamic considerations in… Click to show full abstract

Abstract In the framework of weakly nonlocal thermodynamic theory, in this paper we derive a nonlocal and nonlinear heat-transport equation beyond the Fourier law by means of thermodynamic considerations in agreement with the second law. The obtained equation describes the transitions among different heat-transport regimes. The stability of the solution of that equation is also analyzed in a special case.

Keywords: transport regimes; heat transport; equation; different heat

Journal Title: Mechanics Research Communications
Year Published: 2019

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