One-dimensional algebraic explicit analytical solutions of unsteady non-Fourier heat conduction in a sphere

被引：0

作者：

蔡睿贤

张娜

何咏梅

机构：

[1] Institute of Engineering Thermophysics

[2] Chinese Academy of Sciences

[3] Beijing

[4] China

来源：

Progress in Natural Science | 1999年 / 01期

关键词：

non-Fourier heal conduction; analytical solution; 1-D unsteady; criterion for existence of heat wave;

D O I：

暂无

中图分类号：

O551 [热学];

学科分类号：

0702 ;

摘要：

<正> A set of algebraic explicit analytical solutions (without special functions) is derived for the one-dimensional unsteady non-Fourier heat conduction equation in a sphere, including the temperature distribution and heat flux distribution Preliminary criterion to consider the existence of non-Fourier heat wave effect is proposed based on the analytical solutions; when the radius of the sphere reaches the same order of magnitude as the mean free path oreven smaller, the heat wave has to he considered

引用

页码：34 / 39

页数：6

共 3 条

[1]

Unsteady one-dimensional analytical solutions for bioheat transfer equations[J]. 蔡睿贤,张娜.Progress in Natural Science. 1998(06)

[2] 超急速传热时球体内非稳态热传导的非傅里叶效应 [J].

张浙 ;

刘登瀛 .

工程热物理学报, 1998, (05) :601-605

[3]

Explicit analytical solutions of non-Fourier heat conduction equation for IC chip[J]. CAI Ruixian and ZHANG Na Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing 100080, China.Chinese Science Bulletin. 1998(13)

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