Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-19T07:15:59.106Z Has data issue: false hasContentIssue false
  • English
  • Français

Mean flow in round bubble plumes

Published online by Cambridge University Press:  20 April 2006

J. H. Milgram
J. H. Milgram
Affiliation:
Department of Ocean Engineering, MIT, Cambridge, MA 02139
Get access Rights & Permissions [Opens in a new window]

Abstract

Previous experimental studies are reviewed and those whose data are deemed reliable are identified. New experiments at larger scale are described and the results are reported. These are combined with the reliable previous studies to form a data set covering heights from 3.66 to 50 m and gasflow rates from 0.0002 to 0.59 normal m3/s. These wide-ranging data are combined with an integral theory for bubble plumes to determine functional relationships between local plume properties and the entrainment coefficient and the fraction of the momentum flux that is carried in the turbulent velocity fluctuations. These relationships together with the integral theory provide a set of equations that are suitable for numerical solution for the mean flow properties of any round bubble plume. Examples of the numerical solutions are presented and a comparison of one of these with existing experimental data is given. The relationships between the local plume properties and the entrainment coefficient and the momentum flux carried by the turbulence are interpreted to provide a qualitative understanding of the parameters involved and their influences on the plume.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 133 , August 1983 , pp. 345 - 376
Copyright
© 1983 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

Bishoni, P. R. & Maim, B. B. 1979 Laboratory study of behavior of oil and gas particles in salt water relating to deep oil well blowouts. Spill Technology Newsletter, Environmental Protection Service, Hull, Quebec, EPS-3-ED-80-1, 4[1], 24–36.Google Scholar
Chen, C. J. & Rodi, W. 1980 Vertical turbulent buoyant jets, a review of experimental data. HMT — The Science and Application of Heat and Mass Transfer – Reports, Reviews & Computer Programs. Pergamon.
Ditmars, J. D. & Cederwall, K. 1974 Analysis of air-bubble plumes. In Proc. Coastal Engng Conf., chap. 128, pp. 2209–2226.Google Scholar
Fannelop, T. K. & Sjoen, K. 1980 Hydrodynamics of underwater blowouts. In Proc. AIAA 18th Aerospace Sci. Meeting, Pasadena, CA.Google Scholar
Fazal, R. 1980 Gas bubble plumes in water. MIT engineer degree thesis.
Fox, D. C. 1970 Forced plume in a stratified fluid J. Geophys. Res. 75, 6818–6835.Google Scholar
George, W. K. & Alpert, R. L. & Tamanini, F. 1977 Turbulence measurements in an axisymmetric buoyant plume Intl J. Heat Mass Transfer 20, 1145–1154.Google Scholar
Haberman, W. L. & Morton, R. K. 1954 An experimental study of bubbles moving in liquids. Proc. ASCE 80, separate no. 387.Google Scholar
Hu, S. & Kintner, R. C. 1955 The fall of single liquid drops through water AIChE J. 1, 42–48.Google Scholar
Kobus, H. E. 1968 Analysis of the flow induced by air-bubble systems. In Proc. Coastal Engng Conf. London, vol. II, chap. 65, pp. 1016–1031.
Mcdougll, T. J. 1978 Bubble plumes in stratified environments J. Fluid Mech. 85, 665–672.Google Scholar
Milgram, J. H. & VAN HOUTEN, R. J. 1982 Plumes from sub-sea well blowouts. In Proc. of the 3rd Intl Conf., BOSS, vol. I, pp. 659–684.Google Scholar
Morton, B. R., Taylor, G. I. & Turner, J. S. 1956 Turbulent gravitational convection from maintained and instantaneous sources Proc. R. Soc. Lond. A234, 1–23.Google Scholar
Seban, R. A. & Behnia, M. M. 1976 Turbulent buoyant jets in unstratified surroundings Intl J. Heat Mass Transfer 19, 1197–1204.Google Scholar
Sjoen, K. 1982 Data from measurements in bubble plumes. SINTEF Project Memo., Project no. 150030, Memo no. 1.Google Scholar
Tofham, D. R. 1975 Hydrodynamics of an oil well blowout. Beaufort Sea Tech. Rep., Inst. Ocean Sci., Sidney, B. C., no. 33.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow, 2nd edn. Cambridge University Press.