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The unsteady motion of a bubble or drop towards a liquid-liquid interface

Published online by Cambridge University Press:  26 April 2006

Peter J. Shopov  and
Peter D. Minev
Peter J. Shopov
Affiliation:
Centre for Mathematics and Mechanics, acad. G. Bonchev str. bl. 8, 1113 Sofia, P.O. Box 373, Bulgaria
Peter D. Minev
Affiliation:
Centre for Mathematics and Mechanics, acad. G. Bonchev str. bl. 8, 1113 Sofia, P.O. Box 373, Bulgaria
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Abstract

The buoyancy-driven motion of bubbles or drops towards a liquid-liquid interface at small and moderate Reynolds numbers is studied. Solutions of the unsteady nonlinear mathematical problem are performed by means of a general finite-element technique of Lagrangian type. Data for the development of the interface shapes and the film thickness are presented, and comparisons with previous theories and experiments are performed, supporting the reliability of our results. Two interesting phenomena are observed: a transient concavity at the bottom of the particle and particle elongation in the direction of motion. The drainage of the film formed between the particle and the interface, and the tailing mode are studied. Occurrence of a transient surface wave at the liquid-liquid interface and a toroidal dimpling in the film zone are observed in the tailing mode.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 235 , February 1992 , pp. 123 - 141
Copyright
© 1992 Cambridge University Press

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