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Interfacial instabilities in sediment suspension flows

Published online by Cambridge University Press:  08 October 2014

Maryam Abedi ,
Mir Abbas Jalali  and
Maniya Maleki
Maryam Abedi
Affiliation:
Department of Mechanical Engineering, Sharif University of Technology, Azadi Avenue, Tehran, Iran
Mir Abbas Jalali*
Affiliation:
Department of Mechanical Engineering, Sharif University of Technology, Azadi Avenue, Tehran, Iran Department of Astronomy, University of California, Berkeley, CA 94720-3411, USA
Maniya Maleki
Affiliation:
Department of Physics, Institute for Advanced Studies in Basic Sciences, Zanjan 45137-66731, Iran
*
†Email address for correspondence: mjalali@berkeley.edu
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Abstract

We report the existence of interfacial instability in the two-dimensional channel flow of a sediment suspension whose particles diffuse in the carrier fluid due to shear-induced collisions. We derive partial differential equations that govern the deformations of the interface between the sediment suspension and the clear fluid, and devise a perturbation method that preserves the positivity of the particle volume fraction. We solve perturbed momentum, particle transport and deforming interface equations to show that a Kelvin–Helmholtz-type unstable wave develops at the interface for wavelengths longer than a critical value. Short-wavelength oscillations of the interface are damped due to shear-induced diffusion of particles. We also show that the lowest critical Reynolds number, above which the interface is unstable, occurs for intermediate values of the total volume fraction of particles.

JFM classification

Instability: Instability Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows Complex Fluids: Suspensions
Type
Papers
Information
Journal of Fluid Mechanics , Volume 758 , 10 November 2014 , pp. 312 - 326
Copyright
© 2014 Cambridge University Press 

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