Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-19T12:49:56.513Z Has data issue: false hasContentIssue false
  • English
  • Français

On the stability of gas bubbles rising in an inviscid fluid

Published online by Cambridge University Press:  21 April 2006

D. I. Meiron
D. I. Meiron
Affiliation:
Applied Mathematics, California Institute of Technology, Pasadena, CA 91125, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 198 , January 1989 , pp. 101 - 114
Copyright
1989 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Chen, B. & Saffman, P. G., 1980 Numerical evidence for the existence of new types of gravity waves of permanent form on deep water. Stud. Appl. Maths 62, 1.Google Scholar
Clift, R., Grace, I. R. & Weber, M. E., 1978 Bubbles, Drops and Particles. Academic Press.
El Sawi, M.1974 Distorted gas bubbles at large Reynolds number. J. Fluid Mech. 62, 163.Google Scholar
Harper, J. F.: 1972 Adv. Appl. Mech. 12, 59.
Hartunian, R. A. & Sears, W. R., 1957 On the stability of small gas bubbles moving uniformly in various liquids. J. Fluid Mech. 3, 27.Google Scholar
Lamb, H.: 1945 Hydrodynamics, p. 475. Dover.
Mackay, R. S. & Saffman, P. G., 1986 Stability of water waves. Proc. R. Soc. Lond. A A406, 115.Google Scholar
Miksis, M., Vanden-Broeck, J. & Keller, J. B.1981 Axisymmetric bubble or drop in a uniform flow. J. Fluid Mech. 108, 89.Google Scholar
Miksis, M., Vanden-Broeck, J. & Keller, J. B.1982 Rising bubbles. J. Fluid Mech. 123, 31.Google Scholar
Moore, D. W.: 1965 The velocity of rise of distorted gas bubbles in a liquid of small viscosity J. Fluid Mech. 23, 749.
Rosenberg, B.: 1950 The drag and shape of air bubbles moving in liquids. David Taylor Model Basin Rep. 727.Google Scholar
Ryskin, G. & Leal, L. G., 1984a Numerical solution of free boundary problems in fluid mechanics. Part 1. The finite difference technique. J. Fluid Mech. 148, 1.Google Scholar
Ryskin, G. & Leal, L. G., 1984b Numerical solution of free boundary problems in fluid mechanics. Part 2. Buoyancy-driven motion of a gas bubble through a quiescent liquid J. Fluid Mech. 148, 19.
Saffman, P. G.: 1956 On the rise of small air bubbles in water. J. Fluid Mech. 1, 249.Google Scholar