摘要
讨论了激波或膨胀波诱导边界层问题,通过相似变换,将边界层方程组转化为非线性常微分方程组,利用同伦分析方法求得了问题的近似解析解,给出了无量纲的相似流函数和温度分布.
In this paper, the boundary layer behind a shock or thin expansion wave moving into a stationary fluid is studied. The boundary layer equations are transformed into nonlinear ordinary differential equations using similarity variables. Using the homotopy analysis method, we obtained a class of approximate analytical solutions and representative profiles for the dimensionless stream function and temperature.
出处
《曲阜师范大学学报(自然科学版)》
CAS
2009年第3期43-46,共4页
Journal of Qufu Normal University(Natural Science)
基金
山东科技大学"春蕾计划"项目(2008BWZ076)
关键词
激波
非线性方程
同伦分析方法
边界层
shock
nonlinear equation
homotopy analysis method
boundary layer