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Note on the inviscid stability of flow over a compliant wall

Published online by Cambridge University Press:  26 April 2006

K. S. Yeo
Affiliation:
Department of Mechanical and Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore 0511

Abstract

This paper is concerned with the linear inviscid stability of parallel flow over a compliant or flexible wall. A Fjørtoft-type criterion providing a necessary condition for instability in terms of the basic velocity field and its second-order derivative is established. This criterion assumes a simple form for basic flows with zero velocity at the wall. For the latter flows, another necessary condition for stability is given. The results are helpful in the search for unstable modes in flow over a compliant wall.

Type
Research Article
Copyright
© 1994 Cambridge University Press

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References

Drazin, P. G. & Reid, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.
Fjørtoft, R. 1950 Application of integral theorems in deriving criteria of stability for laminar flows and for the baroclinic circular vortex. Geofys. Publ. 17, 152.Google Scholar
Høiland, E. 1953 On two-dimensional perturbation of linear flow. Geofys. Publ. 18, 112.Google Scholar
Howard, L. N. 1961 Note on a paper of John W. Miles. J. Fluid Mech. 10, 509512.Google Scholar
Yeo, K. S. & Dowling, A. P. 1987 The stability of inviscid flows over passive compliant walls. J. Fluid Mech. 183, 265292.Google Scholar