6533b830fe1ef96bd1297c33

RESEARCH PRODUCT

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

Michele SciaccaAntonio SellittoAda Amendola

subject

diffusive regimegeneralized heat equation05.70.Ln46.05.+b02 engineering and technologyballistic regime01 natural sciencesStability (probability)010305 fluids & plasmasphonon-hydrodynamic regime0203 mechanical engineering0103 physical sciencesGeneral Materials ScienceSpecial caseCivil and Structural EngineeringPhysicsMechanical EngineeringBallistic regimeCondensed Matter PhysicsNonlinear system020303 mechanical engineering & transportsClassical mechanics66.70.-fMechanics of MaterialsFourier lawHeat equationgeneralized heat equation; diffusive regime; phonon-hydrodynamic regime; ballistic regime

description

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.

yearjournalcountryeditionlanguage
2019-06-01Mechanics Research Communications
https://doi.org/10.1016/j.mechrescom.2019.05.006