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高超声速椭圆锥短轴流向涡的二维全局稳定性分析

李晓虎 张绍龙 刘建新 黄章峰 罗纪生 张永明

空气动力学学报2018,Vol.36Issue(2):265-272,8.
空气动力学学报2018,Vol.36Issue(2):265-272,8.DOI:10.7638/kqdlxxb-2018.0026

高超声速椭圆锥短轴流向涡的二维全局稳定性分析

Bi-Global instability of streamwise vortices near minor-axis of hypersonic elliptic cone

李晓虎 1张绍龙 2刘建新 1黄章峰 1罗纪生 1张永明1

作者信息

  • 1. 天津大学力学系,天津300072
  • 2. 中国工程物理研究院流体物理研究所,四川绵阳621900
  • 折叠

摘要

Abstract

In wind tunnel experiment,transition location near minor-axis of hypersonic elliptic cone is quite different from that on each side.This is due to the streamwise vortices near minor-axis,which lead to significant difference of basic flow from that on each side.Consequently,instability near minor-axis has essential difference from that on each side,resulting in different transition locations.In this paper,Bi-Global instability analysis is carried out to investigate the instability near minor-axis.Arnoldi method is employed,and the numerical results are validated by comparing with those calculated through other methods.Unstable outer modes are found,and the variation of their growth is studied against frequency,wavenumber,and streamwise location.The physical mechanism of unstable modes is found that they are caused by inviscid inflection instability of shearing basic flow.Unstable inner mode does not exist,because there is no Fjortoft inflection point corresponding to inner mode characteristic.

关键词

高超声速椭圆锥/二维全局稳定性/外模态/内模态

Key words

hypersonic elliptic cone/Bi-Global instability/outer mode/inner mode

分类

数理科学

引用本文复制引用

李晓虎,张绍龙,刘建新,黄章峰,罗纪生,张永明..高超声速椭圆锥短轴流向涡的二维全局稳定性分析[J].空气动力学学报,2018,36(2):265-272,8.

基金项目

国家重点研发计划项目(2016YFA0401200) (2016YFA0401200)

国家自然科学基金(11672204,11672351,11332007,11402167) (11672204,11672351,11332007,11402167)

空气动力学学报

OA北大核心CSCDCSTPCD

0258-1825

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