Boundary-layer receptivity for a parabolic leading edge

P. W. Hammerton, E. J. Kerschen

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

The effect of the nose radius of a body on boundary-layer receptivity is analysed for the case of a symmetric mean flow past a body with a parabolic leading edge. Asymptotic methods based on large Reynolds number are used, supplemented by numerical results. The Mach number is assumed small, and acoustic free-stream disturbances are considered. The case of free-stream acoustic waves, propagating obliquely to the symmetric mean flow is considered. The body nose radius, rn, enters the theory through a Strouhal number, S = ωrn/U, where ω is the frequency of the acoustic wave and U is the mean flow speed. The finite nose radius dramatically reduces the receptivity level compared to that for a flat plate, the amplitude of the instability waves in the boundary layer being decreased by an order of magnitude when S = 0.3. Oblique acoustic waves produce much higher receptivity levels than acoustic waves propagating parallel to the body chord.

Original languageEnglish (US)
Pages (from-to)243-267
Number of pages25
JournalJournal of Fluid Mechanics
Volume310
DOIs
StatePublished - Mar 10 1996

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Boundary-layer receptivity for a parabolic leading edge'. Together they form a unique fingerprint.

Cite this