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A theoretical study of the motion of a viscous drop toward a fluid interface at low Reynolds number

Published online by Cambridge University Press:  26 April 2006

B. K. Chi  and
L. G. Leal
B. K. Chi
Affiliation:
Aerojet General Corp., Tustin, CA 92680, USA
L. G. Leal
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA
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Abstract

In this paper we use a boundary-integral technique to numerically investigate the motion of a viscous drop toward a fluid-fluid interface at low Reynolds number. We consider only the case of a drop moving toward its homophase. The solutions include large deformations of both the drop and interface for capillary numbers in the range 0.2 [les ] Ca [les ] 10 and the viscosity ratios between 0.1 [les ] λ [les ] 10, and illustrate the approach toward a film-drainage geometry for a drop which starts at a large distance from an initially undeformed, flat interface. We also consider briefly the effect of starting the drop closer to the interface.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 201 , April 1989 , pp. 123 - 146
Copyright
© 1989 Cambridge University Press

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