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Bubble dynamics in time-periodic straining flows

Published online by Cambridge University Press:  26 April 2006

I. S. Kang  and
L. G. Leal
I. S. Kang
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA Present address: Chemical Engineering Department, POSTECH, P.O. Box 125, Pohang, 790 Korea.
L. G. Leal
Affiliation:
Department of Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA Present address: Dept. of Chemical and Nuclear Engineering, UCSB, Santa Barbara, CA 93106, USA.
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Abstract

The dynamics and breakup of a bubble in an axisymmetric, time-periodic straining flow has been investigated via analysis of an approximate dynamic model and also by time-dependent numerical solutions of the full fluid mechanics problem. The analyses reveal that in the neighbourhood of a stable steady solution, an $O(\epsilon^{\frac{1}{3}})$ time-dependent change of bubble shape can be obtained from an O(ε) resonant forcing. Furthermore, the probability of bubble breakup at subcritical Weber numbers can be maximized by choosing an optimal forcing frequency for a fixed forcing amplitude.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 218 , September 1990 , pp. 41 - 69
Copyright
© 1990 Cambridge University Press

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