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.

Sellitto A., Sciacca M., Amendola A. (2019). Generalized heat equation and transitions between different heat-transport regimes in narrow stripes. MECHANICS RESEARCH COMMUNICATIONS, 98, 22-30 [10.1016/j.mechrescom.2019.05.006].

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

Sciacca M.;
2019-01-01

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.
Sellitto A., Sciacca M., Amendola A. (2019). Generalized heat equation and transitions between different heat-transport regimes in narrow stripes. MECHANICS RESEARCH COMMUNICATIONS, 98, 22-30 [10.1016/j.mechrescom.2019.05.006].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/387610
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