Existence condition of one-dimensional self-similar motion of ideal gas

被引：0

作者：

Lai, Xiaoming ^{[1
]}

Bian, Baomin ^{[1
]}

Yang, Ling ^{[1
]}

He, Anzhi ^{[1
]}

机构：

[1] Department of Information Physics and Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

来源：

Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics | 2010年 / 42卷 / 01期

关键词：

Gases;

D O I：

暂无

中图分类号：

O172 [微积分];

学科分类号：

摘要：

The extension criterion of ideal gas self-similarity motion is not very complete. Hydrodynamic equations are made dimensionless, and then we obtain the basic characteristic quantities solutions of ideal gas one-dimensional self-similarity differential equations described by relative coordinate ξ and distance r. All of them have the same form Y(ξ, r)=y(ξ)rCY, which means that characteristic quantities for every certain ξ are spatial scale-invariant according to r. It is proved that the spatial scale-invariant is the existence condition of one-dimensional ideal gas self-similarity motion.

引用

页码：122 / 126