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Vortex-induced instability of an incompressible wall-bounded shear layer

Published online by Cambridge University Press:  08 October 2003

T. K. SENGUPTA ,
S. DE  and
S. SARKAR
T. K. SENGUPTA
Affiliation:
Department of Aerospace Engineering, IIT Kanpur 208 016, India
S. DE
Affiliation:
Department of Mechanical Engineering, IIT Kanpur 208 016, India
S. SARKAR
Affiliation:
Department of Mechanical Engineering, IIT Kanpur 208 016, India
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Abstract

The unsteady separated flow produced by a finite-core vortex on a plane shear layer is studied here as a vortex-induced instability. The mechanism of such an interaction, where the distance between the wall and the vortex is many times the local boundary layer thickness, is shown here by flow visualization and the solution of the unsteady Navier–Stokes equation. A new theory is proposed here, which is generic to the Navier–Stokes equation without any assumptions, that is based on growth of disturbance energy in time. A dynamical systems approach based on the proper orthogonal decomposition technique is used to provide a quantitative measure.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 493 , 25 October 2003 , pp. 277 - 286
Copyright
© 2003 Cambridge University Press

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