Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-09T21:45:23.069Z Has data issue: false hasContentIssue false
  • English
  • Français

Drag and lift forces acting on a spherical gas bubble in homogeneous shear liquid flow

Published online by Cambridge University Press:  15 June 2009

KEN-ICHI SUGIOKA  and
SATORU KOMORI
KEN-ICHI SUGIOKA
Affiliation:
Department of Chemical Engineering, Osaka Prefecture University, Sakai 599-8531, Japan
SATORU KOMORI*
Affiliation:
Department of Mechanical Engineering and Science and Advanced Institute of Fluid Science and Engineering, Kyoto University, Kyoto 606-8501, Japan
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

Drag and lift forces acting on a spherical gas bubble in a homogeneous linear shear flow were numerically investigated by means of a three-dimensional direct numerical simulation (DNS) based on a marker and cell (MAC) method. The effects of fluid shear rate and particle Reynolds number on drag and lift forces acting on a spherical gas bubble were compared with those on a spherical inviscid bubble. The results show that the drag force acting on a spherical air bubble in a linear shear flow increases with fluid shear rate of ambient flow. The behaviour of the lift force on a spherical air bubble is quite similar to that on a spherical inviscid bubble, but the effects of fluid shear rate on the lift force acting on an air bubble in the linear shear flow become bigger than that acting on an inviscid bubble in the particle Reynolds number region of 1≤Rep≤300. The lift coefficient on a spherical gas bubble approaches the lift coefficient on a spherical water droplet in the linear shear air-flow with increase in the internal gas viscosity.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 629 , 25 June 2009 , pp. 173 - 193
Copyright
Copyright © Cambridge University Press 2009

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

REFERENCES

Auton, T. R. 1987 The lift force on a spherical body in a rotational flow. J. Fluid Mech. 183, 199–218.CrossRefGoogle Scholar
Bagchi, P. & Balanchandar, S. 2002 Effect of rotation on the motion of a solid sphere in linear shear flow at moderate Re. Phys. Fluids. 14, 2719–2737.CrossRefGoogle Scholar
Dandy, D. & Dwyer, H. A. 1990 A sphere in linear shear flow at finite Reynolds number: effect of shear on particle lift, drag, and heat transfer. J. Fluid Mech. 216, 381–410.CrossRefGoogle Scholar
Duineveld, P. C. 1995 The rise velocity and shape of bubbles in pure water at high Reynolds number. J. Fluid Mech. 292, 325–332.CrossRefGoogle Scholar
Fdhila, R. B. & Duineveld, P. C. 1996 The effect of surfactant on the rise of a spherical bubble at high Reynolds and Peclet numbers. Phys. Fluids 8, 310–321.CrossRefGoogle Scholar
Hanazaki, H. 1988 A numerical study of three-dimensional stratified flow past a sphere. J. Fluid Mech. 192, 393–419.CrossRefGoogle Scholar
Komori, S. & Kurose, R. 1996 The effects of shear and spin on particle lift and drag in a shear flow at high Reynolds numbers, In Advances in Turbulence VI (ed. Gavrilakis, S., Machiels, L. & Monkewitz, P. A.), pp. 551–554. Kluwer.CrossRefGoogle Scholar
Kurose, R. & Komori, S. 1999 Drag and lift force on a rotation sphere in linear shear flow. J. Fluid Mech. 384, 183–206.CrossRefGoogle Scholar
Kurose, R., Misumi, R. & Komori, S. 2001 Drag and lift forces acting on a spherical bubble in a linear shear flow. Intl J. Multiphase Flow 27, 1247–1258.CrossRefGoogle Scholar
Leal, L. G. 1980 Particle motions in a viscous fluid. Annu. Rev. Fluid Mech. 12, 435–476.CrossRefGoogle Scholar
Legendre, D. & Magnaudet, J. 1997 A note on the lift force on a spherical bubble or drop in a low-Reynolds-number shear flow. Phys. Fluids A 9 (11), 3572–3574.CrossRefGoogle Scholar
Legendre, D. & Magnaudet, J. 1998 The lift force on a spherical bubble in a viscous linear shear flow. J. Fluid Mech. 368, 81–126.CrossRefGoogle Scholar
Maxworthy, T., Gnann, C., Kürten, M. & Durst, F. 1996 Experiments on the rise of air bubbles in clean viscous liquids. J. Fluid Mech. 321, 421–441.CrossRefGoogle Scholar
McLaughlin, J. B. 1993 The lift on a small sphere in wall-bounded linear shear flows. J. Fluid Mech. 246, 249–265.CrossRefGoogle Scholar
Mei, R., Klausner, J. F. & Lawrence, C. J. 1994 A note on the history force on a spherical bubble at finite Reynolds number. Phys. Fluids 6, 418–420.CrossRefGoogle Scholar
Palaparthi, R., Demetrios, T. P. & Maldarelli, C. 2006 Theory and experiments on the stagnant cap regime in the motion of spherical surfactant-laden bubbles. J. Fluid Mech. 559, 1–44.CrossRefGoogle Scholar
Saffman, P. G. 1965 The lift on a small sphere in a slow shear flow. J. Fluid Mech. 22, 385–400.CrossRefGoogle Scholar
Sankaranarayanan, K., Shan, X., Kerekidis, I. G. & Sundaresan, S. 2002 Analysis of drag and virtual mass forces in bubbly suspensions using an implicit formulation of the lattice Boltzmann method. J. Fluid Mech. 452, 61–96.CrossRefGoogle Scholar
Sankaranarayanan, K. & Sundaresan, S. 2002 Lift force in bubbly suspensions. Chem. Engng Sci. 57, 3521–3542.CrossRefGoogle Scholar
Sugioka, K. & Komori, S. 2007 Drag and lift forces acting on a spherical water droplet in homogeneous linear shear air flow. J. Fluid Mech. 570, 155–175.CrossRefGoogle Scholar
Takemura, F. & Yabe, A. 1998 Gas dissolution process of spherical rising gas bubbles. Gas dissolution process of spherical rising gas bubbles 53 (15), 26891–2699.Google Scholar
Takemura, F. & Yabe, A. 1999 Rising speed and dissolution rate of a carbon dioxide bubble in slightly contaminated water. J. Fluid Mech. 378, 319–334.CrossRefGoogle Scholar
Wohl, P. R. & Rubinow, S. I. 1974 The transverse force on a drop in an unbounded parabolic flow. J. Fluid Mech. 62, 185–207.CrossRefGoogle Scholar