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Hydrodynamic forces on steady and oscillating porous particles

Published online by Cambridge University Press:  20 August 2012

Santtu T. T. Ollila ,
Tapio Ala-Nissila  and
Colin Denniston
Santtu T. T. Ollila
Affiliation:
Department of Applied Mathematics, The University of Western Ontario, London, Ontario, N6A 5B7, Canada COMP CoE at Department of Applied Physics, Aalto University School of Science and Technology, PO Box 11000, FIN-00076 Aalto, Espoo, Finland
Tapio Ala-Nissila
Affiliation:
COMP CoE at Department of Applied Physics, Aalto University School of Science and Technology, PO Box 11000, FIN-00076 Aalto, Espoo, Finland
Colin Denniston*
Affiliation:
Department of Applied Mathematics, The University of Western Ontario, London, Ontario, N6A 5B7, Canada
*
†Email address for correspondence: cdennist@uwo.ca
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Abstract

We derive new analytical results for the hydrodynamic force exerted on a sinusoidally oscillating porous shell and a sphere of uniform density in the Stokes limit. The coupling between the spherical particle and the solvent is done using the Debye–Bueche–Brinkman (DBB) model, i.e. by a frictional force proportional to the local velocity difference between the permeable particle and the solvent. We compare our analytical results and existing dynamic theories to lattice–Boltzmann simulations of the full Navier–Stokes equations for the oscillating porous particle. We find our analytical results to agree with simulations over a broad range of porosities and frequencies.

JFM classification

Complex Fluids: Colloids Multiphase and Particle-laden Flows: Particle/fluid flow Complex Fluids: Suspensions
Type
Papers
Information
Journal of Fluid Mechanics , Volume 709 , 25 October 2012 , pp. 123 - 148
Copyright
Copyright © Cambridge University Press 2012

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