一类激波问题的同伦解析解

Homotopyic Analytical Solutions for A Kind of Shock Problem

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.