Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-28T07:00:27.952Z Has data issue: false hasContentIssue false
  • English
  • Français

A second approximation for the velocity of a large gas bubble rising in an infinite liquid

Published online by Cambridge University Press:  28 March 2006

R. Collins
R. Collins
Affiliation:
Department of Mechanical Engineering, University College London
Get access Rights & Permissions [Opens in a new window]

Abstract

A second approximation for the velocity of a large gas bubble in an infinite liquid is derived from a linear perturbation of the first approximation. Previously known experimental results are in excellent agreement with the resulting velocity, \[ U = 0.652(g\overline{a})^{\frac{1}{2}}, \] where $\overline{a}$ is the apparent radius of curvature of the front part of the bubble, and g the acceleration due to gravity. The shape of this second approximation is seen to be indistinguishable from spherical over a large region near the front stagnation point.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 25 , Issue 3 , July 1966 , pp. 469 - 480
Copyright
© 1966 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

Batchelor, G. K. 1956 J. Fluid Mech. 1, 38.
Collins, R. 1965a Chem. Engng Sci. 20, 85.
Collins, R. 1965b J. Fluid Mech. 22, 76.
Davidson, J. F. 1961 Trans. Instn Chem. Engrs., 39, 30.
Davies, R. M. & Taylor, G. I. 1950 Proc. Roy. Soc., A 200, 375.
Hobson, E. W. 1931 Spherical and Ellipsoidal Harmonics, p. 17. Cambridge University Press.
Lamb, H. 1932 Hydrodynamics, 6th ed., p. 125 et seq. Cambridge University Press.
Moore, D. W. 1959 J. Fluid Mech. 6, 11.
Rippin, D. W. T. 1959 Ph.D. Thesis, Cambridge University.
Rosenberg, B. 1950 David Taylor Model Basin, Rep. no. 727.
Temperley, H. N. V. & Chambers, Ll. G. 1945 Reprinted in: Underwater Explosion Research, vol. 11, p. 437, Office of Naval Research (U.S.A.) 1950.Google Scholar