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Force distribution along a slender body straddling an interface

Published online by Cambridge University Press:  17 February 2009

G. R. Fulford and
J. R. Blake
G. R. Fulford
Affiliation:
Department of Mathematics, LaTrobe University, Bundoora, Vic., Australia.
J. R. Blake
Affiliation:
Department of Mathematics, The University of Wollongong, Wollongong, N.S.W. 2500, Australia.
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Abstract

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Line distributions of Stokes flow singularities are used to model the flow around a slender body which is straddling a flat interface between two viscous fluids. Motion of the slender body parallel to the interface and normal to the interface is considered where the axis of symmetry of the slender body is always perpendicular to the undisturbed interface. Asymptotic approximations to the force distributions on the slender body are evaluated and the relative contributions of that part of the slender body in one fluid to the force distribution in the other fluid and of the interface interaction to the force distribution are examined. It is observed that a shielding region exists about the interface which is due to the interaction with that part of the slender body in the other fluid. Finally, for parallel motion, the first order interface deformation is calculated.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 3 , January 1986, pp. 295 - 315
Copyright
Copyright © Australian Mathematical Society 1986

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