Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-28T07:02:39.679Z Has data issue: false hasContentIssue false

Observations on transition in plane bubble plumes

Published online by Cambridge University Press:  26 April 2006

M. Alam
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560 012, India
V. H. Arakeri
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560 012, India

Abstract

Flow visualization studies of plane laminar bubble plumes have been conducted to yield quantitative data on transition height, wavelength and wave velocity of the most unstable disturbance leading to transition. These are believed to be the first results of this kind. Most earlier studies are restricted to turbulent bubble plumes. In the present study, the bubble plumes were generated by electrolysis of water and hence very fine control over bubble size distribution and gas flow rate was possible to enable studies with laminar bubble plumes. Present observations show that (a) the dominant mode of instability in plane bubble plumes is the sinuous mode, (b) transition height and wavelength are related linearly with the proportionality constant being about 4, (c) wave velocity is about 40% of the mean plume velocity, and (d) normalized transition height data correlate very well with a source Grashof number. Some agreement and some differences in transition characteristics of bubble plumes have been observed compared to those for similar single-phase flows.

Type
Research Article
Copyright
© 1993 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

Alam, M. 1991 Flow visualization studies on transition and interaction of bubble plumes. MSc (Engng) thesis, Indian Institute of Science, Bangalore.
Arakeri, V. H. & Nair, B. G. 1990 Sonic velocity measurements in gas–liquid mixture with low void fractions. Curr. Sci. 59, 363367.Google Scholar
Baines, W. D. 1961 The principles of operation of bubbling systems. Proc. Symp. Air Bubbling, Ottawa. Tech. Mem. 70, pp. 1222. National Research Council (Canada).
Bill, R. G. & Gebhart, B. 1975 The transition of plane plumes. Intl J. Heat Mass Transfer 18, 513528.Google Scholar
Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775816.Google Scholar
Clift, R., Grace, J. R. & Weber, M. E. 1978 Bubbles, Drops and Particles. Academic.
Gore, R. A., Crowe, C. T. & Bejan, A. 1990 The geometric similarity of the laminar sections of boundary layer-type flows. Intl Commun. Heat Transfer 17, 465475.Google Scholar
Ishii, M. 1975 Thermo-Fluid Dynamic Theory of Two-phase Flow. Paris: Eyrolles.
Jones, W. T. 1972 Air barriers as oil-spill containment devices. J. Soc. Petrol. Engng 12, 126142.Google Scholar
Kimura, S. & Bejan, A. 1983 Mechanism for transition to turbulence in buoyant plume flow. Intl J. Heat Mass Transfer 26, 15151532.Google Scholar
Leitch, A. M. & Baines, W. D. 1989 Liquid volume flux in a weak bubble plume. J. Fluid Mech. 205, 7798.Google Scholar
McDougall, T. J. 1978 Bubble plumes in stratified environments. J. Fluid Mech. 85, 665672.Google Scholar
Michalke, A. 1965 On spatially growing disturbances in an inviscid shear layer. J. Fluid Mech. 23, 521544.Google Scholar
Milgram, J. H. 1983 Mean flow in round bubble plumes. J. Fluid Mech. 133, 345376.Google Scholar
Schorr, A. W. & Gebhart, B. 1970 An experimental investigation of natural convection wakes above a line heat source. Intl J. Heat Mass Transfer 13, 557571.Google Scholar
Taylor, G. I. 1955 The action of a surface current used as a breakwater. Proc. Roy. Soc. A 231, 46678.Google Scholar
Wakitani, S. & Yosinobu, H. 1988 Transition to turbulence in a plane plume above a horizontal line source: measurement of flow properties and flow visualization. Fluid Dyn. Res. 2, 243259.Google Scholar
Wijngaarden, L. van 1972 One-Dimensional Flow of Liquids Containing Small Gas Bubbles. Ann. Rev. Fluid Mech. 4, 369396.Google Scholar