Skip to main content
×
Home

On the stability of gas bubbles rising in an inviscid fluid

  • D. I. Meiron (a1)
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.

Copyright
References
Hide All
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.
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.
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.
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.
Miksis, M., Vanden-Broeck, J. & Keller, J. B.1981 Axisymmetric bubble or drop in a uniform flow. J. Fluid Mech. 108, 89.
Miksis, M., Vanden-Broeck, J. & Keller, J. B.1982 Rising bubbles. J. Fluid Mech. 123, 31.
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.
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.
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.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 17 *
Loading metrics...

Abstract views

Total abstract views: 84 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 24th November 2017. This data will be updated every 24 hours.