Boundary-layer receptivity for a parabolic leading edge

Hammerton, PW and Kerschen, EJ (1996) Boundary-layer receptivity for a parabolic leading edge. Journal of Fluid Mechanics, 310. pp. 243-267. ISSN 0022-1120

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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 = ?rn/U, where ? 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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Vishal Gautam
Date Deposited: 12 Sep 2011 09:29
Last Modified: 24 Sep 2020 23:34
URI: https://ueaeprints.uea.ac.uk/id/eprint/26739
DOI: 10.1017/S0022112096001796

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