Journal of Fluid Mechanics

Bubble dynamics in time-periodic straining flows

I. S.  Kang a1p1 and L. G.  Leal a1p2
a1 Department of Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA

Article author query
kang is   [Google Scholar] 
leal lg   [Google Scholar] 


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.

(Published Online April 26 2006)
(Received March 16 1989)
(Revised January 17 1990)

p1 Present address: Chemical Engineering Department, POSTECH, P.O. Box 125, Pohang, 790 Korea.
p2 Present address: Dept. of Chemical and Nuclear Engineering, UCSB, Santa Barbara, CA 93106, USA.