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Ripple formation on a particle bed sheared by a viscous liquid. Part 1. Steady flow

Published online by Cambridge University Press:  27 February 2006

F. CHARRU  and
E. J. HINCH
F. CHARRU
Affiliation:
IMFT, Allée C. Soula, 31400 Toulouse, France
E. J. HINCH
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
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Abstract

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A new approach to studying ripple formation in steady flow is proposed, based on a model for the erosion and deposition of the particles. Higher shear stresses at the crests lead to a loss of particles from there, which can suppress the instability induced by fluid inertia. This model accounts for recent observations that ripples do not grow when the fluid viscosity is increased, a behaviour not present in the classical approach based on an algebraic dependence of the particle flux on the bottom shear stress.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 550 , 10 March 2006 , pp. 111 - 121
Copyright
© 2006 Cambridge University Press