运动激波扫过运动平板的非定常传热问题

本文研究运动激波扫过平板边界层后边界层随时间的演化。首先将霍华斯变换推广到非定常情形并引入相似参数将非定常问题化为有两个前缘的边界层问题。这时抛物型方程是奇异的。在激波附近用奇异摄动法求出级数解,然后用逆风格式数值积分将解延拓到平板前缘。

THE UNSTEADY BOUNDARY LAYER OVER A MOVING FLAT PLATE SWEPT BY A COUNTER-MOVING SHOCK

The time evolving of the Blasius boundary layer after the passage of aswe-eping shock, with Crocco problem as its limiting case, was treated in the present paper. The Howarth transformation was generalized into unsteady case to formally eliminate the compressible effect. Similar variables were then introduced to reduce the momentum and energy eqns into singular parabolic ones. A composite solution near the shock was constructed by singular perturbation and numerical integration incorporating upwind scheme was carried out to solve the problem up to the leading edge.