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A note on nearly two-dimensional weakly nonlinear instability of an incompressible free shear layer

Published online by Cambridge University Press:  10 May 1999

A. F. MESSITER  and
D. DAVIS
A. F. MESSITER
Affiliation:
Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109-2140, USA
D. DAVIS
Affiliation:
Department of Mechanical Engineering, University College London, London WCIE 6BT, UK
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Abstract

The weakly nonlinear amplitude growth of slightly oblique instability waves in an incompressible free shear layer is shown to be first influenced by three-dimensionality in a limiting case for large Reynolds number when a particular order relationship is chosen between the spanwise scale and the amplitude of the small disturbance. The formulation resembles that for purely two-dimensional motion but includes the effect of vortex stretching in the nonequilibrium, nonlinear, viscous critical layer.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 386 , 10 May 1999 , pp. 373 - 377
Copyright
© 1999 Cambridge University Press

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