Heat transfer mechanisms in thin film with laser heat source

Entropy analyses for hyperbolic heat conduction based on the thermomass model

“…For fast-transient heat conduction, however, the resulting differential equation for temperature predicts an infinite speed of thermal signal propagation since the diffusion equation is parabolic by nature. On the other hand, with the rapid development of material processing by pulsed sources, Fourier's law breaks down in modeling laser processing of materials [2,3] or high frequency response in IC chips [4] and heat propagates as wave. The problems caused by the infinite speed of heat propagation have attracted many researchers to remove such a paradox induced by Fourier's law.…”

Thermal wave propagation in a finite medium irradiated by a heat source with Gaussian distribution in both the temporal and spatial domain

“…Combining the energy equation (2) with the first order approximation of equation (1) and for a medium of constant properties, we get the T e representation of the dual-phase-lag heat equation as…”

“…Recently, considerable interest has been generated toward highintense and ultra-short lasers in thin films, which have found numerous applications [2]. Tang and Araki [3] study the temperature wave propagation and reflection in finite medium due to Gaussian laser-pulse heating in time and exponentially decaying in the spatial variable.…”

“…The correct modeling for Gaussian distributed spatial heat source for the one-dimensional case was proposed by [7] who gave a crucial scientific definition for the Gaussian source parameters. The temperature wave propagation and reflection in finite medium for symmetrically heating thin film with time dependent laser heat source is obtained by [8] which previously solved numerically by [2].…”

Application of CESE method to simulate non-Fourier heat conduction in finite medium with pulse surface heating

“…Gembarovič and Majerni [7] calculated the temperature distribution resulting from the absorption of an instantaneous pulse of heat flux in a finite medium. Torii and Yang [8] and Lewandowska and Malinowski [9] investigated the propagation of thermal waves in thin films subjected to symmetrical heating on either side using a numerical scheme and an analytical approach, respectively. Tang and Araki [10] derived an analytical solution for the DPL model using Green's function and a finite integral transformation technique.…”