Skip to main content Accessibility help

Drag and lift forces on bubbles in a rotating flow



The motion of small air bubbles in a horizontal solid-body rotating flow is investigated experimentally. Bubbles with a typical radius of 1 mm are released in a liquid-filled horizontally rotating cylinder. We measure the transient motion of the bubbles in solid-body rotation and their final equilibrium position from which we compute drag and lift coefficients for a wide range of dimensionless shear rates 0.1<Sr<2 (Sr is the velocity difference over one bubble diameter divided by the slip velocity of the bubble) and Reynolds numbers 0.01<Re<500 (Re is based on the slip velocity and bubble diameter). For large Sr, we find that the drag force is increased by the shear rate. The lift force shows strong dependence on viscous effects. In particular, for Re<5, we measure negative lift forces, in line with theoretical predictions.



Hide All
Ashmore, J., del Pino, C. & Mullin, T. 2005 Cavitation in a lubrication flow between a moving sphere and a boundary. Phys. Rev. Lett. 94, 124501.
Auton, T. 1987 The lift force on a spherical body in a rotational flow. J. Fluid Mech. 183, 199218.
Auton, T., Hunt, J. & Prud'Homme, M. 1988 The force exterted on a body in inviscid unsteady non-uniform rotational flow. J. Fluid Mech. 197, 241257.
Bagchi, P. & Balachandar, S. 2002 Shear versus vortex-induced lift force on a rigid sphere at moderate Re. J. Fluid Mech. 473, 379388.
Bluemink, J. J., van Nierop, E. A., Luther, S., Deen, N. G., Magnaudet, J., Prosperetti, A. & Lohse, D. 2005 Asymmetry-induced particle drift in a rotating flow. Phys. Fluids 17, 072106.
Clift, R., Grace, J. R. & Weber, M. E. 1978 Bubbles, Drops and Particles. Academic.
Climent, E. & Magnaudet, J. 2006 Dynamics of a two-dimensional up flowing mixing layer seeded with bubbles. Bubble dispersion and effect of two-way coupling, Phys. Fluids 18, 103304.
Galindo, V. & Gerbeth, G. 1993 A note on the force on an accelerating spherical drop at low-Reynolds number. Phys. Fluids A 5, 32903292.
Gotoh, T. 1990 Brownian motion in a rotating flow. J. Stat. Phys. 59, 371402.
Guet, S., Ooms, G., Oliemans, R. & Mudde, R. 2004 Bubble size effect on low liquid input drift-flux parameters. Chem. Engng Sci. 59, 33153329.
Herron, I., Davis, S. & Bretherton, F. 1975 On the sedimentation of a sphere in a centrifuge. J. Fluid Mech. 68, 209234.
Lamb, H. 1934 Hydrodynamics, 6th edn. Dover.
Legendre, D. & Magnaudet, J. 1998 The lift force on a spherical bubble in a viscous linear shear flow. J. Fluid Mech. 368, 81126.
Lohse, D. & Prosperetti, A. 2003 Controlling bubbles. J. Phys. Condens. Matter 15, S415.
McLaughlin, J. B. 1991 Inertial migration of a small sphere in linear shear flows. J. Fluid Mech. 224, 261274.
Magnaudet, J. & Eames, I. 2000 The motion of high-Reynolds number bubbles in inhomogeneous flows. Annu. Rev. Fluid Mech. 32, 659708.
Magnaudet, J. & Legendre, D. 1998 Some aspects of the lift force on a spherical bubble. Appl. Sci. Res. 58, 441461.
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.
Mazzitelli, I., Lohse, D. & Toschi, F. 2003a The effect of microbubbles on developed turbulence. Phys. Fluids 15, L5L8.
Mazzitelli, I., Lohse, D. & Toschi, F. 2003b On the relevance of the lift force in bubbly turbulence. J. Fluid Mech. 488, 283313.
Mei, R., Klausner, J. & Lawrence, C. 1994 A note on the history force on a spherical bubble at finite Reynolds number. Phys. Fluids 6, 418420.
Naciri, M. A. 1992 Contribution à l'étude des forces exercées par un liquide sur une bulle de gaz: portance, masse ajoutée et interactions hydrodynamiques. PhD thesis, Ecole Central de Lyon.
Rensen, J., Bosman, D., Magnaudet, J., Ohl, C., Prosperetti, A., Tögel, R., Versluis, M. & Lohse, D. 2001 Spiraling bubbles: How acoustic and hydrodynamic forces compete. Phys. Rev. Lett. 86, 48194822.
Saffman, P. G. 1965 The lift on a small sphere in a slow shear flow. J. Fluid Mech. 22, 385. Corrigendum: 31, p. 624, 1968.
Seddon, J. R. T. & Mullin, T. 2006 Reverse rotation of a cylinder near a wall. Phys. Fluids 18, 041703.
Sridhar, G. & Katz, J. 1995 Drag and lift forces on microscopic bubbles entrained by a vortex. Phys. Fluids 7, 389399.
Taylor, G. 1928 The forces on a body placed in a curved converging stream of fluid. Proc. R. Soc. Lond. A 120, 260.
Toegel, R., Luther, S. & Lohse, D. 2006 Viscosity destabilizes sonoluminescing bubbles. Phys. Rev. Lett. 96, 114301.
Tomiyama, A. 2002 Transverse migration of single bubble in simple shear flows. Chem. Engng Sci. 57, 18491858.
Tryggvason, G., Bunner, B., Esmaelli, A., Juric, D., Al-Rawahi, N., Tauber, W., Han, J., Nas, S. & Jan, Y.-J. 2001 A front-tracking method for the computations of multiphase flow. J. Comput. Phys. 169, 708759.
Yang, S. M. & Leal, L. G. 1991 A note on the memory-integral contributions to the force on an accelerating spherical drop at low Reynolds number. Phys. Fluids A 3, 18221824.
MathJax is a JavaScript display engine for mathematics. For more information see

Drag and lift forces on bubbles in a rotating flow



Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed