Nonlinear hyperbolic heat conduction problem: Closed-form solutions

被引：3
|
作者：
Ignaczak, Jozef [1 ]
机构：
[1] Polish Acad Sci, IPPT, Inst Fundamental Technol Res, PL-00049 Warsaw, Poland
来源：
JOURNAL OF THERMAL STRESSES | 2006年 / 29卷 / 11期
关键词：
closed-form solutions; heat conductor; hyperbolic; nonlinear; rigid;
D O I：
10.1080/01495730600710232
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
A nonlinear rigid heat conductor obeying the first and second laws of thermodynamics, Cattaneo's law, and a generalized energy-entropy relation in which both the energy and entropy are parabolic functions of the heat flux, is revisited. For a one-dimensional Cauchy problem in which both the temperature and heat flux are time-dependent only, a solution in terms of elementary functions is obtained. Also, for a one-dimensional traveling wave problem, a solution in terms of elementary functions is presented. Graphs illustrating the solutions are included.
引用
收藏
页码：999 / 1018
页数：20
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