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On the motion of a slender body near an interface between two immiscible liquids at very low Reynolds numbers

Published online by Cambridge University Press:  20 April 2006

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

The motion of a slender body near a flat interface between two immiscible fluids of different viscosities and densities is considered. The force distributions along a slender body are derived for the two cases when the instantaneous motion of the slender body is parallel to, and normal to, the interface. In some cases the slender body will rotate, the magnitude and direction of rotation being a function of the ratio of the two viscosities and the distance from the interface. For a narrow band of viscosity ratios the direction of rotation for a normally oriented slender body will change with distance from the interface. Two mechanisms for the interface-induced rotation are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 127 , February 1983 , pp. 203 - 217
Copyright
© 1983 Cambridge University Press

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