Global stability of swept flow around a parabolic body: Connecting attachment-line and crossflow modes

Christoph J. Mack, Peter J. Schmid, Jörn L. Sesterhenn

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

The global linear stability of a three-dimensional compressible flow around a yawed parabolic body of infinite span is investigated using an iterative eigenvalue method in conjunction with direct numerical simulations. The computed global spectrum shows an unstable branch consisting of three-dimensional boundary layer modes whose amplitude distributions exhibit typical characteristics of both attachment-line and crossflow modes. In particular, global eigenfunctions with smaller phase velocities display a more pronounced structure near the stagnation line, reminiscent of attachment-line modes while still featuring strong crossflow vortices further downstream. This analysis establishes a link between the two prevailing instability mechanisms on a swept parabolic body which, so far, have only been studied separately and locally. A parameter study shows maximum modal growth for a spanwise wavenumber of β = 0.213, suggesting a preferred disturbance length scale in the sweep direction. © 2008 Cambridge University Press.
Original languageEnglish (US)
Pages (from-to)205-214
Number of pages10
JournalJournal of Fluid Mechanics
Volume611
DOIs
StatePublished - Jan 1 2008
Externally publishedYes

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Condensed Matter Physics

Fingerprint

Dive into the research topics of 'Global stability of swept flow around a parabolic body: Connecting attachment-line and crossflow modes'. Together they form a unique fingerprint.

Cite this