Crossflow instability analysis of boundary layer on a yawed cone

LIU Shuyi; CHEN Xi; WAN Bingbing; CHEN Jianqiang; HUANG Ganglei

doi:10.7638/kqdlxxb-2024.0087

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Crossflow instability analysis of boundary layer on a yawed cone

更新时间：2026-05-28

- Crossflow instability analysis of boundary layer on a yawed cone
- Vol. 43, Issue 2, Pages: 86-95(2025)
- 作者机构：
  
  空天飞行空气动力科学与技术全国重点实验室,绵阳,621000
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2024.0087
  CLC： O35;V211.3
- Published：2025
- 稿件说明：
移动端阅览
刘姝怡, 陈曦, 万兵兵, 等. 有攻角圆锥边界层横流失稳分析[J]. 空气动力学学报, 2025, 43(2): 86−95.

LIU Shuyi, CHEN Xi, WAN Bingbing, et al. Crossflow instability analysis of boundary layer on a yawed cone[J]. 2025, 43(2): 86-95.
刘姝怡, 陈曦, 万兵兵, 等. 有攻角圆锥边界层横流失稳分析[J]. 空气动力学学报, 2025, 43(2): 86−95. DOI： 10.7638/kqdlxxb-2024.0087

LIU Shuyi, CHEN Xi, WAN Bingbing, et al. Crossflow instability analysis of boundary layer on a yawed cone[J]. 2025, 43(2): 86-95. DOI： 10.7638/kqdlxxb-2024.0087.

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（three-dimensional 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

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

值远大于全局稳定性分析得到的

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

值影响显著。

Abstract

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 exp

erimental conditions. The results were compared with those of the one-dimensional 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

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

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

factor.

关键词

Keywords

references

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