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Particle motion in Stokes flow near a plane fluid-fluid interface. Part 1. Slender body in a quiescent fluid

Yang, Seung-Man and Leal, L. Gary (1983) Particle motion in Stokes flow near a plane fluid-fluid interface. Part 1. Slender body in a quiescent fluid. Journal of Fluid Mechanics, 136 . pp. 393-421. ISSN 0022-1120. doi:10.1017/S0022112083002207.

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The present study examines the motion of a slender body in the presence of a plane fluid–fluid interface with an arbitrary viscosity ratio. The fluids are assumed to be at rest at infinity, and the particle is assumed to have an arbitrary orientation relative to the interface. The method of analysis is slender-body theory for Stokes flow using the fundamental solutions for singularities (i.e. Stokeslets and potential doublets) near a flat interface. We consider translation and rotation, each in three mutually orthogonal directions, thus determining the components of the hydrodynamic resistance tensors which relate the total hydrodynamic force and torque on the particle to its translational and angular velocities for a completely arbitrary translational and angular motion. To illustrate the application of these basic results, we calculate trajectories for a freely rotating particle under the action of an applied force either normal or parallel to a flat interface, which are relevant to particle sedimentation near a flat interface or to the processes of particle capture via drop or bubble flotation.

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Additional Information:© 1983 Cambridge University Press. Received 19 October 1982 and in revised form 19 July 1983. Published online: 20 April 2006. This work was supported by a grant from the Fluid Mechanics Program of the National Science Foundation.
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NSF Fluid Mechanics ProgramUNSPECIFIED
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32378
Deposited By: Tony Diaz
Deposited On:12 Jul 2012 21:28
Last Modified:09 Nov 2021 21:26

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