6533b820fe1ef96bd127a4ec

RESEARCH PRODUCT

Two relaxation times and thermal nonlinear waves along wires with lateral heat exchange

Michele Sciacca

subject

Work (thermodynamics)Materials scienceThermal solitonsRelaxation (NMR)Statistical and Nonlinear PhysicsMechanicsRadiant heatCondensed Matter Physics01 natural sciencesHeat waves010305 fluids & plasmasHeat flux saturationNonlinear systemHeat flux0103 physical sciencesThermalHeat exchangerHeat transferRadiative transferMaxwell–Cattaneo law010306 general physicsAuxiliary equation method

description

Abstract We propose a model for studying several nonlinear waves for heat transport along a cylindrical system with lateral non-linear heat transfer to the environment. We consider relaxational equations, each with its own relaxation time, for longitudinal heat transfer and for lateral heat transfer across the wall. We consider two kinds of nonlinear lateral heat transport: radiative heat transport, and flux-limited heat transport. This work generalizes our previous studies in which the relaxation time for the lateral heat transfer was considered equal to that of the longitudinal heat flux. We explore the influence of both relaxation times on the propagation speed of linear and nonlinear waves, and on the form of nonlinear waves.

yearjournalcountryeditionlanguage
2021-04-28Physica D: Nonlinear Phenomena
https://doi.org/10.1016/j.physd.2021.132912