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A note on forces exerted by a Stokeslet on confining boundaries

Published online by Cambridge University Press:  31 October 2019

Viktor Škultéty  and
Alexander Morozov Open the ORCID record for Alexander Morozov [Opens in a new window]
Viktor Škultéty
Affiliation:
SUPA, School of Physics and Astronomy, The University of Edinburgh, James Clerk Maxwell Building, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK
Alexander Morozov*
Affiliation:
SUPA, School of Physics and Astronomy, The University of Edinburgh, James Clerk Maxwell Building, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK
*
†Email address for correspondence: alexander.morozov@ed.ac.uk
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Abstract

We consider a Stokeslet applied to a viscous fluid next to an infinite, flat wall, or in between two parallel walls. We calculate the forces exerted by the resulting flow on the confining boundaries, and use the results obtained to estimate the hydrodynamic contribution to the pressure exerted on boundaries by force-free self-propelled particles.

JFM classification

Low-Reynolds-number flows: Stokesian dynamics Biological Fluid Dynamics: Micro-organism dynamics Non-Newtonian Flows: Rheology
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 882 , 10 January 2020 , A1
Copyright
© 2019 Cambridge University Press 

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