Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-20T20:06:45.283Z Has data issue: false hasContentIssue false
  • English
  • Français

Experiments on the rise of air bubbles in clean viscous liquids

Published online by Cambridge University Press:  26 April 2006

T. Maxworthy ,
C. Gnann ,
M. Kürten  and
F. Durst
T. Maxworthy
Affiliation:
Departments of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA 90089, USA
C. Gnann
Affiliation:
LSTM, Friedrik-Alexander-Universität, Erlangen-Nürnberg, Erlangen, Germany
M. Kürten
Affiliation:
LSTM, Friedrik-Alexander-Universität, Erlangen-Nürnberg, Erlangen, Germany
F. Durst
Affiliation:
LSTM, Friedrik-Alexander-Universität, Erlangen-Nürnberg, Erlangen, Germany
Get access Rights & Permissions [Opens in a new window]

Abstract

A number of new experiments have been performed on the rise of air bubbles in clean mixtures of distilled water and pure, reagent grade, glycerine covering a range of the relevant parameter, the Morton number, Mo = gv4ρ3/σ3, of 1013. Here g is the acceleration due to gravity, v the kinematic viscosity, ρ the density and σ the surface tension of the mixture. In these careful measurements several scaling regimes have been found that have not been discussed before in the extensive literature on the subject. The transitions between these regimes have been delineated and attempts made to discuss the dynamical processes that might be important in each of them.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 321 , 25 August 1996 , pp. 421 - 441
Copyright
© 1996 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

Agrawal, S. K. & Wasan, D. T. 1979 The effect of interfacial viscosities on the motion of drops and bubbles. Chem. Engng J. 18, 215.Google Scholar
Blanco, A. & Magnandet, J. 1995 The structure of the axisymmetric high-Reynolds number for around an ellipsoidal bubble of fixed shape. Phys. Fluids 7, 1265–1274.Google Scholar
Brabston, D. C. & Keller, H. B. 1975 Viscous flows past spherical gas bubbles. J. Fluid Mech. 69, 179–189.Google Scholar
Clift, R., Grace, J. R. & Weber, M. E. 1978 Bubbles, Drops and Particles. Academic (referred to herein as CGW).
Duinivald, P. C. 1995 The rise velocity and shape of bubbles in pure water at high Reynolds number. J. Fluid Mech. 292, 325–332.Google Scholar
Hamielec, A. E., Johnson, A. I. & Houghton, W. T. 1967 AIChE J. 13, 220–224.
Harper, J. F. 1972 The motion of bubbles and drops through liquids. Adv. Appl. Mech. 12, 59–129.Google Scholar
Hartholdt, G. P., Hoffman, A. C., Janssen, L. P. B. M., Hoogstraten, H. W. & Moes, J. H. 1994 Finite element calculations of flow past a spherical gas bubble rising on the axis of a cylindrical tube. Z. Angew. Math. Phys. 45, 733–745.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, 27–47.Google Scholar
Lapple, C. E. 1951 Particle Dynamics. Engng Res. Lab., E. I. Dupont and Nemours and Co., Wilmington, Delaware.
Le Clair, B. P. & Hamielec, A. E. 1971 Can. J. Chem. Engng 49, 713–720.
Magnaudet, J., Rivera, M. & Fabre, J. 1995 Accelerated flows past a rigid sphere or spherical bubble. Part 1. Steady, straining flow. J. Fluid Mech. 284, 97–136.Google Scholar
Maxworthy, T. 1965 Accurate measurements of sphere drag at low Reynolds numbers. J. Fluid Mech. 23, 369–372.Google Scholar
Mei, R., Klausnel, J. F. & Lawrence, C. J. 1994 A note on the history force on a spherical bubble at finite Reynolds number. Phys. Fluids 6, 418–420.Google Scholar
Miner, C. S. & Dalton, N. N. 1953 Glycerol. Reinhold.
Moore, D. W. 1963 The boundary layer on a spherical gas bubble. J. Fluid Mech. 16, 161–176.Google Scholar
Moore, D. W. 1965 The velocity of rise of distorted gas bubbles in a liquid of small viscosity. J. Fluid Mech. 23, 744–766.Google Scholar
Ogũz, H. N. & Sadhal, S. S. 1988 Effects of soluble and insoluble surfactants on the motion of drops. J. Fluid Mech. 194, 563–579.Google Scholar
Ryskind, G. & Leal, L. G. 1984a Numerical solution of free-boundary problems in fluid mechanics. Part 1. The finite difference technique. J. Fluid Mech. 148, 1–17.Google Scholar
Ryskind, 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, 19–35.Google Scholar
Saffman, D. G. 1956 On the rise of small gas bubbles in water. J. Fluid Mech. 1, 249–275.Google Scholar
Taylor, J. D. & Acrivos, A. J. 1964 On the deformation and drag of a falling viscous drop at low Reynolds number. J. Fluid Mech. 18, 466–476.Google Scholar