Instabilities in shock-wave-boundary-layer interactions at Mach 6

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Abstract

The flow instabilities in shock-wave-boundary-layer interactions at Mach 6 are comprehensively investigated through compression corner and incident shock cases. The boundary of global stability and the characteristics of globally unstable modes are determined by global stability analysis. In resolvent analysis, cases are categorized into flat plate, no separation, small separation and large separation flows. The optimal response shifts from the first mode in the flat plate case to streaks after the amplification in the interaction region. The amplification of streaks and the first mode (oblique mode) are both attributed to the Görtler instability. Meanwhile, the second mode exhibits minimal growth and higher Mack's modes appear within the separation bubble. Rounded corner case and linear stability analysis are utilized to further validate the amplification mechanism of the oblique mode.

Original languageEnglish
Article numberA28
JournalJournal of Fluid Mechanics
Volume1019
DOIs
Publication statusPublished - 17 Sept 2025

Keywords

  • absolute/convective instability
  • boundary layer stability
  • shock waves

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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