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Hyperbolic stefan problem with applied surface heat flux and temperature-dependent thermal conductivity

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TLDR
In this article, the hyperbolic Stefan problem with an applied surface heat flux and temperature-dependent thermal conductivity is solved numerically for a semi-infinite slab using Mac-Cormack's predictor-corrector method.
Abstract
The hyperbolic Stefan problem with an applied surface heat flux and temperature-dependent thermal conductivity is solved numerically for a semi-infinite slab using Mac-Cormack's predictor-corrector method. Solutions are presented for cases where the melt temperature is both below and above the instantaneous jump in surface temperature at time t = O+. The interface condition, surface temperature, and internal temperatures are presented for different Stefan numbers and melt temperatures, as well as thermal conductivity both increasing and decreasing with temperature. The results obtained from the hyperbolic solution are compared with those obtained from the parabolic solution.

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Journal ArticleDOI

Short-pulse laser heating on metals

TL;DR: In this article, the radiation-metal interactions are treated as a coupled two-step process: (1) the absorption of photon energy by electrons and (2) the subsequent heating of the metal lattice through electron-phonon collisions.
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Solution of two-dimensional hyperbolic heat conduction by high-resolution numerical methods

TL;DR: In this paper, a numerical solution of two-dimensional hyperbolic heat conduction by high-resolution schemes is presented, where the governing equations are transformed from Cartesian coordinates into generalized curvilinear coordinates and dependent variables are cast in a characteristic form that decouples the original system equation into scalar equations.
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Non-fourier heat conduction effect on prediction of temperature transients and thermal stress in skin cryopreservation

TL;DR: In this article, the thermal stress induced by skin cryopreservation is analyzed and the most important issues are to prevent the loss of viability in the tissue and to understand the effects of thermal stress on the tissue.
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Hyperbolic heat conduction in thin-film high Tc superconductors with interface thermal resistance

TL;DR: In this article, the authors numerically analyzed the hyperbolic heat conduction problem in the film and substrate composites under an imposed surface heat flux on the exterior film surface.
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Reflection and refraction of thermal waves from a surface or an interface between dissimilar materials

TL;DR: In this article, a harmonic analysis is applied to study the reflection and refraction patterns of thermal waves from a surface and an interface between dissimilar materials, and the physical envelope for complete transmission and physical conditions for complete reflection are discussed in detail.
References
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Book

Computational Fluid Mechanics and Heat Transfer

TL;DR: In this paper, a reference record was created on 2005-11-18, modified on 2016-08-08 and used for CFD-based transfert de chaleur.
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A general theory of heat conduction with finite wave speeds

TL;DR: In this article, the authors developed a general theory of heat conduction for nonlinear materials with memory, a theory which has associated with it finite propagation speeds, i.e., a thermal disturbance at any point in the body is felt instantly at every other point; or in terms more suggestive than precise, the speed of propagation of disturbances is infinite.
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Femtosecond electronic heat-transport dynamics in thin gold films.

TL;DR: Observation de transport de chaleur ultrarapide dans des couches minces d'or sous irradiation laser femtoseconde
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Hyperbolic Heat-Conduction Equation—A Solution for the Semi-Infinite Body Problem

TL;DR: Heat finite propagation velocity effects on temperature distribution and heat flux for step temperature change at semi-infinite body surface were studied in this article, where the authors considered a semi-inverse body surface.
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