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.
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