壁面冷却和抽吸对超声速高超声速 三维边界层稳定性的影响＊

本文采用四阶精度紧密格式研究了壁面冷却和抽吸对超声速高超声速旋转圆锥三维边界层横流不稳定性的影响，最大Ｍ＝７．５。数值结果证明：壁面冷却和抽吸对第一模式有稳定作用，但这一作用比二维边界层显著减弱，抽吸使第二模式增长率减小，冷却使第二模式增长率增大，不稳定频率升高；直到Ｍ＝７．５可以用壁面抽吸使得因为壁面冷却而变得更不稳定的第二模式重新趋于稳定，但Ｍ数越高所需的抽吸量越大。

Effect of Wall Suction and Cooling on the Stability of the Supersonic and Hypersonic Three Dimensional Boundary Layer

In the paper the fourth order accurate scheme is used to study the effect of wall suction and cooling on the cross flow instability of a supersonic and hypersonic three dimensional boundary layer.The maximum Mach number is as high as M =7.5.The numerical results show that the wall cooling and suction can stabilize the first mode but the higher is Mach number the weaker is stabilizing effect.The wall suction stabilizes the second mode but the wall cooling destabilizes it and the unstable frequency increases.The wall suction may be used to stabilize the second mode distabilized by the wall cooling even at M e =7.5 but the amount of the wall suction needed to stabilize it increases as the Mach number get higher.