Hostname: page-component-76fb5796d-45l2p Total loading time: 0 Render date: 2024-04-25T23:30:51.716Z Has data issue: false hasContentIssue false

The rise velocity and shape of bubbles in pure water at high Reynolds number

Published online by Cambridge University Press:  26 April 2006

P. C. Duineveld
Affiliation:
J.M. Burgers Centre for Fluid Mechanics, Department of Applied Physics, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands

Abstract

The velocity and shape of rising bubbles, with an equivalent radius of 0.33–1.00 mm, in ‘hyper clean’ water, have been experimentally determined. For the small bubbles there is perfect agreement with theory, proving that this water can be considered as pure (no surfactants). For the larger bubbles there is a small discrepancy due to an overestimation in the theory.

Type
Research Article
Copyright
© 1995 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

Aybers, N. M. & Tapuccu, A. 1969 The motion of gas bubbles rising through stagnant liquids. Wärme-und Stoffübertragung 2, 118128.Google Scholar
Benjamin, T. B. 1987 Hamiltonian theory for motion of bubbles in an infinite liquid. J. Fluid Mech. 181, 349379.Google Scholar
El Sawi, M. 1974 Distorted gasbubbles at large Reynolds number. J. Fluid Mech. 62, 163183.Google Scholar
Haberman, W. L. & Morton, R. K. 1954 An experimental study of bubbles moving in liquids. Proc. ASCE 387, 227252.Google Scholar
Hartunian, R. A. & Sears, W. R. 1957 On the instability of small gas bubbles moving uniformly in various liquids. J. Fluid Mech. 3, 2747.Google Scholar
He, Z., Maldarelli, C. & Dagan, Z. 1991 The size of stagnant caps of bulk soluble surfactants on the interface of translating fluid droplets. J. Colloid Interface Sci. 146, 442451.Google Scholar
Kok, J. B. W. 1993 Dynamics of a pair of gas bubbles moving through liquid II. Experiment. Eur. J. Mech. B/Fluids 4, 541560.Google Scholar
Leal, L. G. 1989 Velocity transport and wake structure for bluff bodies at finite Reynolds number. Phys. Fluids A 1, 124131.Google Scholar
Levich, V. G. 1949 Zhur. Eksp. i Teoret. Fiz. 19, 18.
Levich, V. G. 1962 Physico Chemical Hydrodynamics. Prentice Hall.
Miksis, J. M., Vanden-Broeck, J. & Keller, J. B. 1981 Axisymmetric bubble or drop in a uniform flow. J. Fluid Mech. 108, 89100.Google Scholar
Moore, D. W. 1963 The boundary layer on a spherical gas bubble. J. Fluid Mech. 16, 161176.Google Scholar
Moore, D. W. 1965 The velocity of rise of distorted gas bubbles in a liquid of small viscosity. J. Fluid Mech. 23, 749766.Google Scholar
Ryskin, G. & Leal, L. G. 1984 Numerical solution of free-boundary problems in fluid mechanics. Part 2. Bouncy motion of gas bubble through a quiscent liquid. J. Fluid Mech. 148, 1935.Google Scholar
Saffman, P. G. 1956 On the rise of small air bubbles in water. J. Fluid Mech. 1, 249275.Google Scholar
Tsuge, H. & Hibino, S. I. 1977 The onset of oscillatory motion of single gas bubbles rising in various liquids. J. Chem. Engng Japan 10, 6668.Google Scholar