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Numerical solution of free-boundary problems in fluid mechanics. Part 3. Bubble deformation in an axisymmetric straining flow

Published online by Cambridge University Press:  20 April 2006

G. Ryskin  and
L. G. Leal
G. Ryskin
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125 Present address: Department of Chemical Engineering, Northwestern University, Evanston, Illinois 60201.
L. G. Leal
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, California 91125
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Abstract

We consider the deformation of a bubble in a uniaxial extensional flow for Reynolds numbers in the range 0.1 [les ] R [les ] 100. The computations show that the bubble bursts at a relatively early stage of deformation for R [ges ] O(10), never reaching the highly elongated shapes observed and predicted at lower Reynolds numbers. We also compute the deformation of the bubble under the assumption of potential flow, and conclude that the potential-flow solution provides a good approximation to the real flow in this case for R [ges ] O(100).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 148 , November 1984 , pp. 37 - 43
Copyright
© 1984 Cambridge University Press

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