| 工程热物理学科中的若干解析解 |
| |
| 引用本文： | 蔡睿贤,蔡档. 工程热物理学科中的若干解析解[J]. 西安交通大学学报, 2000, 34(2): 1-6 |
| |
| 作者姓名： | 蔡睿贤 蔡档 |
| |
| 作者单位： | 1. 中国科学院工程热物理研究所,100080,北京
2. 西安交通大学 |
| |
| 摘 要： | 介绍了蔡睿贤给出的工程热物理学科中典型的2组基本方程的解析解，即完全气体无粘可压流动的显式解析解和球体内不定常非Fourier导热的一维代数显式解析解.应用加法分离变量法，得出了超急速微尺寸不定常导热中有热波效应的大概尺寸.
|
| 关 键 词： | 解析解 热波效应 非傅里叶导热 工程热物理学 |
| 文章编号： | 0253-987X（2000）02-0001-06 |
| 修稿时间： | 1999-09-13 |
Some Analytical Solutions for Engineering Thermophysics |
| |
| Cai Ruixian,Cai Dang. Some Analytical Solutions for Engineering Thermophysics[J]. Journal of Xi'an Jiaotong University, 2000, 34(2): 1-6 |
| |
| Authors: | Cai Ruixian Cai Dang |
| |
| Abstract: | Analytical solutions proposed by Cai Ruixian for two groups of basic equations in engineering thermophysics are presented and analyzed in more detail. They are the explicit analytical solution of inviscid compressible flow of perfect gas and the one dimensional algebraic explicit analytical solution of unsteady non Fourier heat conduction in a sphere. The new method of variable separation with addition is used, in which the dependent variable is supposed to be the sum (instead of product) of several one dimensional functions. Preliminary criterion to consider the existence of mon Fourier heat wave effect is prooposed based on the analytical solutions:when the radius of the sphere reaches the same order of magnitude as the mean free path or even smaller, the heat wave has to be considered. |
| |
| Keywords: | analytical solution compressible fluid non Fourier heat conduction criterion for existence of heat wave |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
