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Published January 1989 | Published
Journal Article Open

On the stability of gas bubbles rising in an inviscid fluid


The stability to three dimensional disturbances of bubbles rising rectilinearly in an inviscid fluid is studied numerically. It is found, in contrast with earlier work, that the interaction of hydrodynamic pressure forces and surface tension does not lead to linear instability of the bubble path.

Additional Information

© 1989 Cambridge University Press. Received 14 December 1987 and in revised form 12 May 1988. I wish to thank Professor P. G. Saffman for introducing me to this problem. I also wish to acknowledge gratefully many valuable discussions with Professor D. W. Moore and P. G. Saffman. This work was supported by the Department of Energy, Office of Energy Sciences (DE-AS03-76ER-72012), Applied Mathematical Sciences (KC-07-01-01).

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