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Suppression of vortex shedding behind a circular cylinder by another control cylinder at low Reynolds numbers

Published online by Cambridge University Press:  05 February 2007

A. DIPANKAR ,
T. K. SENGUPTA  and
S. B. TALLA
A. DIPANKAR
Affiliation:
Department of Aerospace Engineering, IIT Kanpur 208 016, India
T. K. SENGUPTA
Affiliation:
Department of Aerospace Engineering, IIT Kanpur 208 016, India
S. B. TALLA
Affiliation:
Department of Aerospace Engineering, IIT Kanpur 208 016, India
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Abstract

Vortex shedding behind a cylinder can be controlled by placing another small cylinder behind it, at low Reynolds numbers. This has been demonstrated experimentally by Strykowski & Sreenivasan (J. Fluid Mech. vol. 218, 1990, p. 74). These authors also provided preliminary numerical results, modelling the control cylinder by the innovative application of boundary conditions on some selective nodes. There are no other computational and theoretical studies that have explored the physical mechanism. In the present work, using an over-set grid method, we report and verify numerically the experimental results for flow past a pair of cylinders. Apart from providing an accurate solution of the Navier–Stokes equation, we also employ an energy-based receptivity analysis method to discuss some aspects of the physical mechanism behind vortex shedding and its control. These results are compared with the flow picture developed using a dynamical system approach based on the proper orthogonal decomposition (POD) technique.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 573 , February 2007 , pp. 171 - 190
Copyright
Copyright © Cambridge University Press 2007

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