A note on the generation of Tollmien-Schlichting waves by sudden surface-curvature change
- 1 August 1987
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 181 (-1) , 519-525
- https://doi.org/10.1017/s0022112087002192
Abstract
This note is primarily concerned with the generation of spatially growing Tollmien-Schlichting waves by the interaction of very long-wavelength free-stream disturbances with a discontinuity in the curvature of a bounding surface (whose slope may or may not be continuous). The theory is combined with a numerical solution of the local Orr-Sommerfeld equation, and the result is used to predict the Tollmien-Schlichting amplitude in a relevant experiment carried out by Leehey & Shapiro (1980). The calculated results are in satisfactory agreement with their observations.Keywords
This publication has 6 references indexed in Scilit:
- Scattering of acoustic waves into Tollmien-Schlichting waves by small streamwise variations in surface geometryJournal of Fluid Mechanics, 1985
- On the non-parallel flow stability of the Blasius boundary layerProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1979
- Sound and Tollmien–Schlichting waves in a Blasius boundary layerPhysics of Fluids, 1978
- Boundary-Layer Flow Near the Trailing Edge of a Flat PlateSIAM Journal on Applied Mathematics, 1970
- ON LAMINAR BOUNDARY LAYERS NEAR CORNERSThe Quarterly Journal of Mechanics and Applied Mathematics, 1970
- On the flow near the trailing edge of a flat plate IIMathematika, 1969