Multiscale Modeling of Thermal Wave: From Non-local Continuum to Molecular Dynamics

Abstract eng:
It is renowned that Fourier’s law of heat conduction violates the relativity theory, admits an instantaneous thermal response, and assumes a quasi-equilibrium thermodynamic condition. Heat transport is a non-equilibrium phenomenon with a finite thermal wave speed for applications involving very low temperature, extremely high temperature gradient, and ballistic heat transfer. To accommodate effects of thennomass and size-dependency of thermophysical properties on micro/nanoscale heat transport and to remove the theoretical singularity of temperature at thermal wavefront, a nonlocal fractional-order three-phase-lag heat conduction is first introduced. To affirm the existence of thermal wave, a molecular dynamics simulation is implemented for the heat transfer of a nanoscale beam and temperature distribution is tracked. Correlating thermal responses in continuum and atomistic scales gives an insight into the effect of length scale, fractional order, and phase-lags on the multiscale heat transport and is of practical importance for microelectromechanical systems, photothennal techniques, and laser assisted manufacturing.

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