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The motion and stability of a vortex array above a pulsed surface

Published online by Cambridge University Press:  26 April 2006

E. Acton  and
M. R. Dhanak
E. Acton
Affiliation:
Asymptote Ltd., St John's Innovation Center, Cambridge, CB4 4WS, UK
M. R. Dhanak
Affiliation:
Department of Ocean Engineering, Florida Atlantic University, Boca Raton, FL 33431, USA
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Abstract

A model inviscid and incompressible flow problem is studied in which an infinite array of equi-spaced identical rectilinear line vortices moves in a uniform stream over a wall in which is embedded an equi-spaced array of discrete line sources of variable strength. It is shown that for a suitable choice of source spacing and strength, a flow that is periodic both in time and in the streamwise direction is possible. The flow is shown to be stable to small two-dimensional disturbances for a range of values of vortex height above the wall and source strength. The implications for the corresponding viscous problem and active flow control are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 247 , February 1993 , pp. 231 - 245
Copyright
© 1993 Cambridge University Press

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References

Falco, R. 1991 A coherent structure model of the turbulent boundary-layer and its ability to predict Reynolds-number dependence. Phil. Trans. R. Soc. Lond. A 336. 103– 129.Google Scholar
Ince, E. L. 1956 Ordinary Differential Equations. Dover.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Smith, C. R., Walker, J. D. A., Haidari, A. H. & Sobren, U. 1991 On the dynamics of near-wall turbulence. Phil. Trans. R. Soc. Lond. A 336, 131– 175.Google Scholar
Walker, J. D. A. 1978 The boundary layer due to rectilinear vortex. Proc. R. Soc. Lond. A 359, 167– 188.Google Scholar
Uzkan, T. & Reynolds, W. C. 1967 A turbulent boundary layer on a wall moving at the free-stream velocity. J. Fluid Mech. 28, 803– 821.Google Scholar