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A simple model of the plane gas bubble in a finite liquid

Published online by Cambridge University Press:  28 March 2006

R. Collins
Affiliation:
Department of Mechanical Engineering, University College London

Abstract

Using a method due to Davies & Taylor (1950), a simple model is employed to derive the velocity of a two-dimensional gas bubble rising in liquid along the axis of a channel of finite width. The asymptotes of the solution agree well with previous results and an experimental investigation confirms the effect of channel width on bubble velocity. Measured values of velocity are, however, approximately 9% higher than theoretical values due to the three-dimensional nature of the real flow.

Type
Research Article
Copyright
© 1965 Cambridge University Press

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References

Birkhoff, G. & Carter, D. 1956 Los Alamos Sci. Lab. Rep. LA-1927.
Collins, R. 1965 Chem. Engng Sci. (To be published.)
Davidson, J. F. 1961 Trans. Inst. Chem. Engrs, 39, 230.
Davidson, J. F. & Harrison, D. 1963 Fluidized Particles. Cambridge University Press.
Davies, R. M. & Taylor, G. I. 1950 Proc. Roy. Soc. A, 200, 375.
Dumitrescu, D. T. 1943 Z. angew. Math. Mech. 23, 139.
Garabedian, P. R. 1957 Proc. Roy. Soc. A, 241, 423.
Lamb, H. 1932 Hydrodynamics, 6th ed., p. 71. Cambridge University Press.
Nicklin, D. J., Wilkes, J. O. & Davidson, J. F. 1962 Trans. Inst. Chem. Engrs, 40, 61.
Uno, S. & Kintner, R. C. 1956 A.I.Ch.E.J. 2, 420.