有攻角圆锥边界层横流失稳分析  

Crossflow instability analysis of boundary layer on a yawed cone

作　　者：刘姝怡 陈曦 万兵兵 陈坚强 黄刚雷 LIU Shuyi;CHEN Xi;WAN Bingbing;CHEN Jianqiang;HUANG Ganglei(State Key Laboratory of Aerodynamics,Mianyang621000,China)

机构地区：[1]空天飞行空气动力科学与技术全国重点实验室,绵阳621000

出　　处：《空气动力学学报》2025年第2期86-95,I0002,共11页Acta Aerodynamica Sinica

基　　金：国家自然科学基金(12372225,12202477)。

摘　　要：横流失稳是复杂三维边界层转捩的主要机制之一。针对马赫数6条件下常规风洞实验工况的6°攻角尖锥边界层,利用二维全局稳定性分析(two-dimensional global stability analysis,BiGlobal)方法和面推进抛物化稳定性方程(threedimensional parabolized stability equations,PSE3D)从多维稳定性分析的角度开展了横流失稳分析,并与一维线性稳定性理论(linear stability theory,LST)和直接数值模拟(direct numerical simulation,DNS)结果进行对比。结果显示,横流模态主要分布在背风面,但随着幅值的增长,模态扰动仍可显著影响迎风面区域;非定常横流模态比准定常横流模态更不稳定,且波角更小;相较于BiGlobal,基于PSE3D得到的N值略低,但两者主频相近,表明非平行效应削弱了横流扰动的增长,但并不改变扰动主频;基于LST的N值远大于全局稳定性分析得到的N值,一方面体现了两种方法对扰动增长定义的差异,另一方面也反映了三维效应的影响,因此不同的稳定性分析方法对确定转捩的N值影响显著。The crossflow instability is one of the main transition mechanisms in complex three-dimensional boundary layers,though it is still far from being fully understood.In the present study,the two-dimensional global stability analysis(BiGlobal)and plane-marching three-dimensional parabolized stability equations(PSE3D)were employed for the crossflow instability in the boundary layer of a sharp cone at 6°angle of attack under the Mach 6 wind tunnel experimental conditions.The results were compared with those of the onedimensional linear stability theory(LST)and direct numerical simulation(DNS).It is shown that the crossflow mode is mainly distributed on the leeward side,yet can still remarkably affect the windward side as its amplitude increases downstream.The most unstable travelling crossflow mode is more amplified and has a smaller wave angle than the stationary crossflow mode.PSE3D obtains a slightly lower N factor than that obtained by BiGlobal,while the two have similar peak frequencies,indicating that the non-parallel effect weakens the growth of crossflow disturbance,without changing the peak frequency of disturbance.The N factor obtained by LST is significantly larger than those from global stability analyses,reflecting the difference in the definition of the growth rate between those two methods as well as the influence of three-dimensional effects.Therefore,different stability analysis methods have a significant impact on determining the transition N factor.

关 键 词：边界层转捩 横流失稳 稳定性分析 有攻角圆锥 

分 类 号：O35[理学—流体力学] V211.3[理学—力学]