A unified solution for heat conduction in thin films

被引：32

作者：

Hays-Stang, KJ ^{[1
]}

Haji-Sheikh, A ^{[1
]}

机构：

[1] Univ Texas, Dept Aerosp & Mech Engn, Arlington, TX 76019 USA

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 1999年 / 42卷 / 03期

基金：

美国国家科学基金会;

关键词：

Conduction; Film;

D O I：

10.1016/S0017-9310(98)00184-7

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Mathematical formulations of heat conduction in thin films and subsequent analytical solutions are the subject of this paper. A generalized formulation of the energy equation that allows for local nonequilibrium conditions between the heat carriers is valid for a broad spectrum of materials from conductors to nonconductors. A unified solution is derived from the classical solution of the energy equation and it is cast as a modification of the Green's function solution for Fourier heat conduction. Numerical examples show the influence of periodic surface heat flux on phase angle and temperature. and the condition for lumped system approximation. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：455 / 465

页数：11

共 15 条

[1]

[Anonymous], ASME, DOI DOI 10.1115/1.2910903

[2]

Beck J. V., 1992, Heat conduction using Green's functions

[3] TIME-RESOLVED OBSERVATION OF ELECTRON-PHONON RELAXATION IN COPPER [J].

ELSAYEDALI, HE ;

NORRIS, TB ;

PESSOT, MA ;

MOUROU, GA .

PHYSICAL REVIEW LETTERS, 1987, 58 (12) :1212-1215

[4] FLUX FORMULATION OF HYPERBOLIC HEAT-CONDUCTION [J].

FRANKEL, JI ;

VICK, B ;

OZISIK, MN .

JOURNAL OF APPLIED PHYSICS, 1985, 58 (09) :3340-3345

[5] GREEN-FUNCTION SOLUTION FOR THERMAL-WAVE EQUATION IN FINITE BODIES [J].

HAJISHEIKH, A ;

BECK, JV .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1994, 37 (17) :2615-2626

[6]

HAYSSTANG KJ, 1994, ASMT HTD, V293

[7]

HAYSTANG KJ, 1997, ASME HTD, V354, P205

[8]

Incropera F.P., 1990, FUNDAMENTALS HEAT MA

[9]

KATHY J, 1996, ASTME STD, V323, P111

[10]

Kittel C., 1986, INTRO SOLID STATE PH, P139

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