零攻角小钝头钝锥高超音速绕流边界层的稳定性分析和转捩预报  

Stability Analysis and Transition Prediction of Hypersonic Boundary Layer Over a Blunt Cone With Small Nose Bluntness at Zero Angle of Attack

作　　者：苏彩虹[1] 周恒[1] 

机构地区：[1]天津大学力学系,天津300072

出　　处：《应用数学和力学》2007年第5期505-513,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(重点)资助项目(10632050)

摘　　要：研究了零攻角小钝头圆锥高超音速边界层的稳定性及转捩预测问题.小钝头的球头半径为0.5mm,锥的半锥角为5°,来流马赫数为6.采用直接数值模拟方法得到了钝锥的基本流场,利用线性稳定性理论分析了等温壁面和绝热壁面条件下的第一、第二模态不稳定波,并用“e-N”方法对转捩位置进行了预测.在没有实验给出N值的情况下,暂取N为10.研究发现,壁面温度条件对于转捩位置有较大影响.绝热边界层的转捩位置比等温边界层的靠后.且尽管高马赫数下第二模态波的最大增长率远大于第一模态波的最大增长率,但绝热边界层的转捩位置是由第一模态不稳定波决定的.研究方法应能推广到有攻角的三维边界层流动的转捩预测.Stability and transition prediction of hypersonic boundary layer on a blunt cone with small nose bluntness at zero angle of attack had been investigated. The nose radius of the cone is 0.5 nun; the cone half-angle is 5 degree, and the Mach number of the oncoming flow is 6. The base flow of the blunt cone was obtained by direct numerical sinulation. The linear stability theory was applied for the analysis of the first mode and the second mode unstable waves under both isothermal and adiabatic wall condition, and e-N method was used for the prediction of transition location. The N factor was tentatively taken as 10, as no experimeatally continued value was available. It is found that the wall temperature condition has a great effect on the Wansition location. For adiabatic wall, transition would take place more rearward than those for isothermal wall. And despite flint for high Mach number flows, the maximum amplification rate of the second mode wave is far bigger than the maximum amplification rate of the first mode wave. The transition location of the boundary layer with adiabatic wall is controlled by the growth of first mode unstable waves. The methods enTployed are expected to be also applicable to the Wansition prediction for the three dimensional boundary layers on cones with angle of attack.

关 键 词：高超音速 边界层 转捩 钝锥 

分 类 号：O357.41[理学—流体力学]