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Lagrangian drift near a wavy boundary in a viscous oscillating flow

Published online by Cambridge University Press:  10 July 2009

E. LARRIEU ,
E. J. HINCH  and
F. CHARRU
E. LARRIEU
Affiliation:
Institut de Mécanique des Fluides de Toulouse, UMR CNRS/INPT/UPS 5502, 2, Avenue Camille Soula, 31400 Toulouse, France
E. J. HINCH
Affiliation:
CMS-DAMTP, Wilberforce Road, Cambridge CB3 0WA, UK
F. CHARRU*
Affiliation:
Institut de Mécanique des Fluides de Toulouse, UMR CNRS/INPT/UPS 5502, 2, Avenue Camille Soula, 31400 Toulouse, France
*
†Email address for correspondence: francois.charru@imft.fr
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Abstract

The formation of sand ripples in oscillating flows is thought to be due to a steady streaming current which near the bottom is towards the crests. We present quantitative observations of this mean flow over self-formed and artificial ripples, by observing the displacement of a coloured filament after a number of oscillations in the simple situation of viscous Couette flow. Confusingly, the filament moves in the ‘wrong’ direction, because it follows the Lagrangian mean flow. We calculate the Lagrangian mean flow. A complication is that the amplitudes of the oscillations in the experiments are not small. We compare the predictions with the experimental observations of displacements of the filament, showing good agreement.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 630 , 10 July 2009 , pp. 391 - 411
Copyright
Copyright © Cambridge University Press 2009

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