Hostname: page-component-848d4c4894-nr4z6 Total loading time: 0 Render date: 2024-05-17T16:23:35.539Z Has data issue: false hasContentIssue false

On the effect of uniform suction on stability and transition in zero pressure gradient viscous incompressible flow

Published online by Cambridge University Press:  04 July 2016

D. I. A. Poll
Affiliation:
College of Aeronautics Cranfield University Cranfield UK
S. A. Walsh
Affiliation:
College of Aeronautics Cranfield University Cranfield UK
M. C. Gallagher
Affiliation:
College of Aeronautics Cranfield University Cranfield UK

Abstract

The classic problem of stability and transition to turbulence of an incompressible flow over a flat plate subjected to uniform suction through the surface is considered. This is an important “model” problem for laminar flow control and the results have direct application to the design of low drag aerofoils. Detailed mean boundary layer calculations are presented and the flow stability is determined by obtaining numerical solutions of the Orr-Somerfield equation. Transition conditions are estimated by using the semi-empirical en method. Accurate values have been obtained for the levels of suction necessary to delay instability and transition indefinitely. Consideration has also been given to the effect of surface suction upon the plate drag.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 1996 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Concepts for Drag Reduction, AGARD-R-654, January 1977.Google Scholar
2.Skin Friction Drag Reduction, AGARD-R-786, March 1992.Google Scholar
3. Reshotko, E. Laminar flow control — viscous simulation, Paper No 8, AGARD-R-709, June 1984.Google Scholar
4. Head, M.R., Johnson, D. and Coxon, M. Flight experiments on boundary-layer control for low drag, ARC R&M 3025, 1957.Google Scholar
5. Head, M.R. The boundary layer with distributed suction, ARCR&M 2783, 1955.Google Scholar
6. Iglisch, R. Exact calculation of laminar boundary layer in longitudinal flow over a flat plate with homogeneous suction, NACA TM 1205, April 1949.Google Scholar
7. Hahneman, E., Freeman, J.C. and Finston, M. Stability of boundary layers and of flow in entrance section of a channel, J Aeronaut Sci, 15, (8), pp 493496.Google Scholar
8. Rosenhead, L. (Ed) Laminar Boundary Layers, Oxford University Press, 1963.Google Scholar
9. Griffith, A.A. and Meridith, F.W. The Possible Improvement in Aircraft Performance Due to the Use of Boundary Layer Suction, Aeronautical Research Council Report No E3501, 1936.Google Scholar
10. Bradshaw, P. and Cebeci, T. Physical and Computational Aspects ofConvective Heat Transfer, Springer Verlag, 1984.Google Scholar
11. Mack, L.M. Boundary-layer linear stability theory, Paper No 3, AGARD-R-709, June 1984.Google Scholar
12. Gallagher, M.C. Theoretical Investigation of Surface Transpiration on Boundary Layer Transition in Two-Dimensional Flow, PhD Thesis, University of Manchester, 1993.Google Scholar