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The effects of surface tension and tube inclination on a two-dimensional rising bubble

Published online by Cambridge University Press:  21 April 2006

Benoit Couët  and
Gary S. Strumolo
Benoit Couët
Affiliation:
Schlumberger-Doll Research, Old Quarry Road, Ridgefield, CT 06877-4108, USA Present address: Schlumberger Cambridge Research, P.O. Box 153, Cambridge, CB3 0HG, UK.
Gary S. Strumolo
Affiliation:
Schlumberger-Doll Research, Old Quarry Road, Ridgefield, CT 06877-4108, USA
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Abstract

The effects of surface tension σ and tube inclination β on the Froude number Fr of a large bubble rising in a two-dimensional duct is considered. It is found that there exists either one (for small σ and β > 0°) or a set (for any σ and β = 0°) of Fr-values for which the bubble has a continuous derivative at the nose. By selecting either this single Fr (or the maximum of the set), we obtain solutions in excellent agreement with both theoretical predictions and experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 184 , November 1987 , pp. 1 - 14
Copyright
© 1987 Cambridge University Press

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References

Benjamin, T. B. 1968 J. Fluid Mech. 31, 209.
Birkhoff, G. & Carter, D. 1957 J. Math. and Mech. 6, 769.
Collins, R. 1965 J. Fluid Mech. 22, 763.
Collins, R., de Moraes, F. F., Davidson, J. F. & Harrison, D. 1978 J. Fluid Mech. 89, 497.
Couët, B., Strumolo, G. S. & Dukler, A. E. 1986 Phys. Fluids 29, 2367.
Davies, R. M. & Taylor, G. I. 1950 Proc. R. Soc. Lond. A 200, 375.
Dumitrescu, D. T. 1943 Z. angew. Math. Mech. 23, 139.
Garabedian, P. R. 1957 Proc. R. Soc. Lond. A 241, 423.
Grace, J. R. & Harrison, D. 1967 Chem. Engng Sci. 22, 1337.
Maneri, C. C. 1970 The motion of plane bubbles in inclined ducts. Ph.D. dissertation, Polytechnic Institute of Brooklyn, New York.
Maneri, C. C. & Zuber, N. 1974 Intl J. Multiphase Flow 1, 623.
Vanden-Broeck, J.-M. 1984a Phys. Fluids 27, 1090.
Vanden-Broeck, J.-M. 1984b Phys. Fluids 27, 2604.
Zukoski, E. E. 1966 J. Fluid Mech. 25, 821.