摘要
采用Whitham规则,本文给出了任意马赫数二维不定常激波的级数形式的通解.包括了强激波和弱激波的通解,它可以用超几何级数来表达.
By using Whitham's rule, a general solution of unsteady two-dimension shock wave for any Mach number is given in the form of series. In this paper, we have discussed the following cases:(1) if M→1, we call it weak shock wave;(2) if 1<M<4, Linear approximation can be applied;(3) if 4<M<∞ the solution can be expressed in terms of hypergeometric series;(4) if M>>l, i.e. strong shock wave case, the coefficients in the genenal solution can be determined by initial and boundary conditions.
出处
《力学学报》
EI
CSCD
北大核心
1989年第1期89-94,共6页
Chinese Journal of Theoretical and Applied Mechanics
关键词
激波
马赫数
气体动力学
通解
二维
shock wave dynamics, shock, waves, gas dynamics, two-dimensional flow equations.
