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The boundary layer on a spherical gas bubble
Abstract
The equations governing the boundary layer on a spherical gas bubble rising steadily through liquid of small viscosity are derived. These equations are linear are linear and are solved in closed form. The boundary layer separates at the rear stagnation point of the bubble to form a thin wake, whose structure is determined. Thus the drag force can be calculated from the momentum defect. The value obtained is 12πa aU μ, where a is the bubble radius and U the terminal velocity, and this agrees with the result of Levich (1949) who argued from the viscous dissipation in the potential flow round the bubble. The next term in an expansion of the drag in descending fractional powers of R is found and the results compared with experiment.
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Citations
Cited by
Bubble Formation and Bubble Rise Velocity in Gas−Liquid Systems: A Review
Kulkarni, A. A., & Joshi, J. B. (2005) · Industrial & Engineering Chemistry Research · doi:10.1021/ie049131p · Cited by 817
The Motion of High-Reynolds-Number Bubbles in Inhomogeneous Flows
Magnaudet, J., & Eames, I. (2000) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.32.1.659 · Cited by 758
Sea Salt Aerosol Production: Mechanisms, Methods, Measurements and Models—A Critical Review
Lewis, R., & Schwartz, E. (2004) · Geophysical Monograph Series · doi:10.1029/gm152 · Cited by 658
The lift force on a spherical bubble in a viscous linear shear flow
LEGENDRE, D., & MAGNAUDET, J. (1998) · Journal of Fluid Mechanics · doi:10.1017/s0022112098001621 · Cited by 527
The rise velocity and shape of bubbles in pure water at high Reynolds number
Duineveld, P. C. (1995) · Journal of Fluid Mechanics · doi:10.1017/s0022112095001546 · Cited by 382
Metadata
- Authors
- Moore, D. W.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1963-06
- Volume
- 16
- Issue
- 2
- Pages
- 161-176
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2040790971
- Cited by
- 510
- References
- 0
- FWCI
- 8.09
- Type
- journal article
- Language
- en
- Open access
- closed
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- Moore, D. W. (1963). The boundary layer on a spherical gas bubble. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112063000665
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