摘要
流体力学自相似运动的外延判据不太完备,对微分方程组做无量纲化处理后,得到以空间相对坐标ξ和距离r为自变量的理想气体一维自相似运动微分方程的基本物理特征量解函数,它们具有Y(ξ,r)=y(ξ)r^(C)_Y的形式,即对于确定的ξ,特征量函数Y(ξ,r)具有空间标度不变性.这种标度不变性是理想气体一维不定常流自相似运动的存在条件.
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 coordinateξand distance r.All of them have the same form Y（ξ,r） = y（ξ）r^（C_Y）,which means that characteristic quantities for every certainξare 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.
出处
《力学学报》
EI
CSCD
北大核心
2010年第1期122-126,共5页
Chinese Journal of Theoretical and Applied Mechanics
关键词
理想气体
自相似运动
充要条件
标度不变性
谢多夫
ideal gas
self-similarity motion
existence condition
scale invariance
sedov
作者简介
E-mail： bianbaomin_56@yahoo.com.cn
