Boundary-layer receptivity for a parabolic leading edge
- 10 March 1996
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 310, 243-267
- https://doi.org/10.1017/s0022112096001796
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 andUis 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 whenS= 0.3. Oblique acoustic waves produce much higher receptivity levels than acoustic waves propagating parallel to the body chord.Keywords
This publication has 10 references indexed in Scilit:
- Accurate numerical methods for boundary layer flows I. Two dimensional laminar flowsPublished by Springer Science and Business Media LLC ,2008
- Boundary-layer receptivity for a parabolic leading edgeJournal of Fluid Mechanics, 1996
- Effect of Leading Edge on Sound ReceptivityPublished by Springer Science and Business Media LLC ,1995
- Effect of Leading-Edge Geometry on Boundary-Layer Receptivity to Freestream SoundPublished by Springer Science and Business Media LLC ,1992
- Leading-Edge Boundary Layer Receptivity to Various Free-Stream Disturbance StructuresPublished by Walter de Gruyter GmbH ,1989
- Boundary-Layer Receptivity to Long-Wave Free-Stream DisturbancesAnnual Review of Fluid Mechanics, 1989
- Tollmien-Schlichting waves generated by unsteady flow over parabolic cylindersPublished by American Institute of Aeronautics and Astronautics (AIAA) ,1981
- The unsteady laminar boundary layer on a semi-infinite flat plate due to small fluctuations in the magnitude of the free-stream velocityJournal of Fluid Mechanics, 1972
- Two-Dimensional Problems in Hydrodynamics and AerodynamicsPhysics Today, 1965
- F. Nonsteady Wing CharacteristicsPublished by Walter de Gruyter GmbH ,1957