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Action of a force near the planar surface between two semi-infinite immiscible liquids at very low Reynolds numbers

Published online by Cambridge University Press:  17 April 2009

K. Aderogba  and
J.R. Blake
K. Aderogba
Affiliation:
Engineering Analysis Unit, University of Lagos, Lagos, Nigeria;
J.R. Blake
Affiliation:
CSIRO, Division of Mathematics and Statistics, Canberra, ACT.
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Abstract

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Explicit expressions for the Green's functions due to a point force in one of two half space fluids are presented for the case when inertial effects of the fluid are negligible (Stokes flow) and the interface between the two fluids is considered to be flat due to the action of surface tension. The analytic expressions are discussed in terms of singularity diagrams. For the case of a force parallel to the interface a first approximation to the interface displacement is made.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 3 , June 1978 , pp. 345 - 356
Copyright
Copyright © Australian Mathematical Society 1978

References

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