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The pressure field due to a large circular capped air bubble rising in water

Published online by Cambridge University Press:  29 March 2006

G. M. Lazarek
Affiliation:
Fluid Chemical and Thermal Processes Division, Rensselaer Polytechnic Institute, Troy, New York, 12181 Present address: Knolls Atomic Power Laboratory, General Electric Company, Schenectady, New York.
H. Littman
Affiliation:
Fluid Chemical and Thermal Processes Division, Rensselaer Polytechnic Institute, Troy, New York, 12181

Abstract

The pressure field due to a large circular capped air bubble rising in water has been determined experimentally. The results verify the Davies & Taylor cap boundary condition and the frontal pressure field is well approximated by that due to irrotational flow around an oval body.

The pressure field extends axially as far as ten bubble half-widths below the bubble floor. Immediately below the floor the pressure is constant for about two-thirds of a bubble height. The wake is closed and contains symmetric pressure minima. For the bubbles studied, turbulence, as well as the diffusion of vorticity, probably controls the momentum distribution and energy dissipation in the wake.

Type
Research Article
Copyright
© 1974 Cambridge University Press

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References

Collins, R. 1965a J. Fluid Mech. 25, 469.
Collins, R. 1965b J. Fluid Mech. 22, 763.
Collins, R. 1965c Chem. Engng Sci. 20, 851.
Collins, R. 1967 Chem. Engng Sci. 22, 89.
Crabtree, J. R. & Bridgwater, J. 1967 Chem. Engng Sci. 22, 1517.
Davies, R. M. & Taylor, G. I. 1950 Proc. Roy. Soc. A, 200, 375.
Grace, J. R. & Harrison, D. 1967 Chem. Engng Sci. 22, 1337.
Haberman, W. L. & Morton, R. K. 1953 David Taylor Model Basin Rep. NR-715-102.
Lazarek, G. M. 1972 Ph.D. thesis, Rensselaer Polytechnic Institute.
Lindt, J. T. 1971 Chem. Engng Sci. 26, 1776.
Maneri, C. C. 1970 Ph.D. thesis, Polytechnic Institute of Brooklyn.
Maneri, C. C. & Mendelson, H. D. 1968 A.I.Ch.E. J. 14, 295.
Maxworthy, T. 1967 J. Fluid Mech. 27, 367.
Mendelson, H. D. 1967 A.I.Ch.E. J. 13, 250.
Pyle, D. L. 1965 Ph.D. thesis, Cambridge University.
Rippin, D. W. T. & Davidson, J. F. 1967 Chem. Engng Sci. 22, 217.
Rosenberg, B. 1950 David Taylor Model Basin Rep. no. 727.
Walters, J. K. & Davidson, J. F. 1961 J. Fluid Mech. 12, 408.