Hostname: page-component-76fb5796d-skm99 Total loading time: 0 Render date: 2024-04-27T22:36:43.655Z Has data issue: false hasContentIssue false
  • English
  • Français

Absolute and convective instabilities in separation bubbles

Published online by Cambridge University Press:  04 July 2016

T. Allen  and
N. Riley
Get access Rights & Permissions [Opens in a new window]

Abstract

At a sufficiently high Reynolds number small separation bubbles, as for example at the leading-edge of an aerofoil, are characterised by laminar flow separation and turbulent reattachment. The transition to turbulence in the separated-flow region through the introduction of a disturbance at the boundary, localised in time and space, is examined. It is found that transition to turbulence is promoted by rapidly growing convective instabilities, and not an absolute instability at the point of application of the disturbance.

Type
Research Article
Information
The Aeronautical Journal , Volume 99 , Issue 990 , December 1995 , pp. 439 - 449
Copyright
Copyright © Royal Aeronautical Society 1995 

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.)

Footnotes

*

Department of Mathematics, University College, London

†

School of Mathematics, University of East Anglia

References

1. Veldman, A.E.P. A numerical method for the calculation of laminar, incompressible boundary layers with strong viscous-inviscid interaction. NLR TR97023U, 1979.Google Scholar
2. Gaster, M. On the generation of spatially growing waves in a boundary layer, J Fluid Mech, 1965, 22, pp 433–441.Google Scholar
3. Gaster, M. Growth of disturbances in both space and time, Phys Fluids, 1968, 11, pp 723–727.Google Scholar
4. Huerre, P. and Monkewitz, P.A. Absolute and convective instabilities in free shear layers, J Fluid Mech, 1985, pp 151–168.Google Scholar
5. Huerre, P. and Monkewitz, P.A. Local and global instabilities in spatially developing flows, Ann Rev Fluid Mech, 1990, 22, pp 473–537.Google Scholar
6. Monkewitz, P.A., Huerre, P. and Chomaz, J.-M. Global linear stability analysis of weakly non-parallel shear flows, J Fluid Mech, 1993, 251, pp 1–20.Google Scholar
7. Gaster, M. The structure and behaviour of laminar separation bubbles, ARC R & M 3595, 1969.Google Scholar
8. Goldstein, S. On laminar boundary-layer flow near a position of separation. Q J Mech Appl Math, 1948, 1, pp 43–69.Google Scholar
9. Stewartson, K. On Goldstein's theory of laminar separation. Q J Mech appl. Math, 1958, 11, pp 399–410.Google Scholar
10. Sychev, V.V. On laminar separation, Mek. Z. i Gaza, 1972, 3, pp 47–59.Google Scholar
11. Smith, F.T. The laminar separation of an incompressible fluid streaming past a smooth surface, Proc R SocA, 1977, 356, pp 443–463.Google Scholar
12. Cebeci, T. and Smith, A.M.O. Analysis of Turbulent Boundary Layers (Academic, New York, 1974).Google Scholar
13. Golub, G.H. and van Loan, C.F. Matrix Computations, North Oxford Academic, 1983.Google Scholar