Journal ArticleDOI
Green's function solution for thermal wave equation in finite bodies
A. Haji-Sheikh,James V. Beck +1 more
TLDR
In this article, a general form of the Green's function solution method for finite bodies is introduced for wave-type conduction equations, where the wave nature of thermal energy transport is dominant.About:
This article is published in International Journal of Heat and Mass Transfer.The article was published on 1994-11-01. It has received 23 citations till now. The article focuses on the topics: Thermal conduction & Relativistic heat conduction.read more
Citations
More filters
Journal ArticleDOI
New thermal wave aspects on burn evaluation of skin subjected to instantaneous heating
Jing Liu,Xu Chen,Lisa X. Xu +2 more
TL;DR: Comparative studies on the well-known Pennes' equation and the newly developed thermal wave model of bioheat transfer (TWMBT) were performed to investigate the wave like behaviors of bio heat transfer occurred in thermal injury of biological bodies.
Journal ArticleDOI
Certain anomalies in the analysis of hyperbolic heat conduction
TL;DR: In this paper, the singularities associated with the interaction of a wave front and a boundary may cause a violation of the imposed boundary condition, which may give rise to physically unacceptable results such as a temperature drop due to heating or a temperature rise due to cooling.
Journal ArticleDOI
A unified solution for heat conduction in thin films
TL;DR: In this paper, a generalized formulation of the energy equation that allows for local nonequilibrium conditions between the heat carriers is presented for a broad spectrum of materials from conductors to nonconductors.
Journal ArticleDOI
Bio-heat diffusion under local thermal non-equilibrium conditions using dual-phase lag-based Green’s functions
Filippo de Monte,A. Haji-Sheikh +1 more
TL;DR: In this paper, a two-step model for porous media based on local thermal non-equilibrium between the fluid and solid phases is analyzed in order to describe the rapid heating of living biological tissues during hyperthermia therapy.
Journal ArticleDOI
A new finite integral transform pair for hyperbolic conduction problems in heterogeneous media
TL;DR: In this paper, the Cattaneo-Vernotte model is used to study heat conduction in situations involving very short times, where the unknowns are the temperature and the flux density.
References
More filters
Book
Conduction of Heat in Solids
H. S. Carslaw,John Conrad Jaeger +1 more
TL;DR: In this paper, a classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems, including boundary value maximization.
Book
Heat Conduction Using Green's Function
TL;DR: Green's Functions Heat Flux and Temperature Differential Energy Equation Boundary and Initial Conditions Integral Energy Equations Dirac Delta Function Steady Heat Conduction in One Dimension GF in the Infinite One-Dimensional Body Temperature in an Infinite 1-Ddimensional Body Two Interpretations of Green's Functions Temperature in Semi-Infinite Bodies Flat Plates Properties Common to Transient Green's Function Heterogeneous Bodies Anisotropic Bodies Transformations Non-Fourier Heat Fluid Flow in Ducts as mentioned in this paper Non-fourier heat Conduction Number
Journal ArticleDOI
Heat transfer mechanisms during short-pulse laser heating of metals
T. Q. Qiu,Chuen-Lin Tien +1 more
TL;DR: In this paper, the Boltzmann transport equation is used to model the transport of electrons and electron lattice interactions during ultrafast laser heating of metals from a microscopic point of view.
Journal ArticleDOI
On the Wave Theory in Heat Conduction
M.N. Özişik,Da Yu Tzou +1 more
TL;DR: In this article, a review of the thermal wave theory and its application in the microscopic two-step model is presented. And the authors show that the energy equation may be reduced to that governing the heat transport through the metal lattice.
Journal ArticleDOI
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.