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The effect of a containing cylindrical boundary on the velocity of a large gas bubble in a liquid

Published online by Cambridge University Press:  28 March 2006

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

The velocity of a large gas bubble rising along the axis of a cylindrical container filled with liquid, is derived to a first approximation from a simple flow model of the system. The resulting expressions involve ratios of certain infinite series, which are evaluated for a few cases, and the theory is then seen to agree with previously accepted results at its asymptotes. Experiments are performed which confirm the first approximation and which allow the theory to be recast as a semi-empirical theory relating bubble volume with velocity. In this form it agrees with the results of Uno & Kintner (1956), but indicates that the relation between volume and curvature which they employed was in error.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 28 , Issue 1 , 12 April 1967 , pp. 97 - 112
Copyright
© 1967 Cambridge University Press

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References

Birkhoff, G. & Carter, D. 1956 Los Alamos Sci. Lab. Rept. LA-1927.
Collins, R. 1965 II J. Fluid Mech. 22, 763.
Collins, R. 1966 I J. Fluid Mech. 25, 469.
Collins, R. 1967 A.E.R.E. Rept. no. 5402.
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.
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Englewood Cliffs: Prentice-Hall.
Lamb, H. 1926 A.R.C. R. & M. 1010.
Layzer, D. 1955 Astrophys. J. 122, 1.
Nicklin, D. J., Wilkes, J. O. & Davidson, J. F. 1962 Trans. Instn Chem. Engrs, 40, 61.
Rosenberg, B. 1950 David Taylor Model Basin, Rept. no. 727.
Stewart, P. B. S. 1965 Ph.D. Thesis, Cambridge University.
Uno, S. & Kintner, R. C. 1956 A.I.Ch.E.J. 2 420.