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Vortex shedding model of a flapping flag

Published online by Cambridge University Press:  25 December 2008

SÉBASTIEN MICHELIN ,
STEFAN G. LLEWELLYN SMITH  and
BEVERLEY J. GLOVER
SÉBASTIEN MICHELIN*
Affiliation:
Department of Mechanical and Aerospace Engineering, Jacobs School of Engineering, UCSD, La Jolla CA 92093-0411, USA Ecole Nationale Supérieure des Mines de Paris, 60–62 Boulevard Saint Michel, 75272 Paris cedex 06, France
STEFAN G. LLEWELLYN SMITH
Affiliation:
Department of Mechanical and Aerospace Engineering, Jacobs School of Engineering, UCSD, La Jolla CA 92093-0411, USA
BEVERLEY J. GLOVER
Affiliation:
Departement of Plant Sciences, University of Cambridge, Downing Street, Cambridge CB2 3EA, UK
*
†Email address for correspondence: smichelin@ucsd.edu
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Abstract

A two-dimensional model for the flapping of an elastic flag under axial flow is described. The vortical wake is accounted for by the shedding of discrete point vortices with unsteady intensity, enforcing the regularity condition at the flag's trailing edge. The stability of the flat state of rest as well as the characteristics of the flapping modes in the periodic regime are compared successfully to existing linear stability and experimental results. An analysis of the flapping regime shows the co-existence of direct kinematic waves, travelling along the flag in the same direction as the imposed flow, and reverse dynamic waves, travelling along the flag upstream from the trailing edge.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 617 , 25 December 2008 , pp. 1 - 10
Copyright
Copyright © Cambridge University Press 2008

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