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TECHNICAL PAPERS

Modeling and Qualitative Experiments on Swirling Bubbly Flows: Single Bubble With Rossby Number of Order 1

[+] Author and Article Information
F. Magaud, A. F. Najafi, J. R. Angilella, M. Souhar

Laboratoire d’Energétique et de Mécanique Théorique et Appliquée, LEMTA, CNRS-UMR 7563 ENSEM-INPL, 2, avenue de la Fore⁁t de Haye, B.P. 160, 54504 Vandoeuvre Cedex, France

J. Fluids Eng 125(2), 239-246 (Mar 27, 2003) (8 pages) doi:10.1115/1.1539870 History: Received July 25, 2001; Revised October 21, 2002; Online March 27, 2003
Copyright © 2003 by ASME
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References

Gupta, A., Lilley, D. G., and Syred, N., 1984, Swirl Flow, Energy & Engineering Sciences Series, Abacus Press.
Weske, D. R., and Sturov, G. Ye., 1974, “Experimental Study of Turbulent Swirled Flows in a Cylindrical Tube,” FLUID MECHANICS-Soviet Research, 3 (1).
Kitoh,  Osami, 1991, “Experimental Study of Turbulent Swirling Flow in a Straight Pipe,” Journal of Fluid Mechanics, 225, pp. 445–479.
Jacquin, L., 1988, “Etude théorique et expérimentale de la turbulence homogène en rotation,” ONERA, Technical note.
Talbot,  L., 1954, “Laminar Swirling Pipe Flow,” Trans. of the ASME, 21(1), pp. 1–7.
Bradshaw,  P., 1969, “The Analogy Between Streamline Curvature and Buoyancy in Turbulent Shear Flow,” Journal of Fluid Mechanics, 36, p. 77.
Rochino, A., and Lavan, Z., 1969, “Analytical Investigations of Incompressible Turbulent Swirling Flow in Stationary Ducts,” Trans. of the ASME, pp. 151–158.
Lilley,  D. G., and Chigier,  N. A., 1971, “Non Isotropic Turbulent Stress Distribution in Swirling Flows From Mean Value Distribution,” Int. J. Heat Mass Transf., 14, p. 573.
Gibson,  N. M., and Younis,  B. A., 1986, “Calculation of Swirling Flow Jets With a Reynolds Stress Closure,” Physics of Fluids, 29, p. 38.
Kobayashi,  T., and Yoda,  M., 1987, “Modified k–ε Model for Turbulent Swirling Flow,” Int. J. JSME, 30, p. 66.
Baur, L., 1995, “Contribution Expérimentale à l’Étude d’Écoulements Diphasiques de Type Swirling,” Ph.D. thesis, Institut National Polytechnique de Lorraine (INPL), Nancy, France.
Greenspan,  H. P., and Ungarish,  M., 1985, “On the Centrifugal Separation of a Bulk Mixture,” Int. J. Multiphase Flow, 11(6), pp. 825–835.
Greenspan,  H. P., 1993, “On the Centrifugal Separation of a Mixture,” Journal of Fluid Mechanics, 127, pp. 91–101.
Baur,  L., Izrar,  B., Lusseyran,  F., and Souhar,  M., 1996, “Etude des Écoulements à Bulle Tourbillonants,” La houille blanche, 1(2), pp. 64–70.
Najafi, A. F., Angilella, J. R., Souhar, M., and Sadeghipour, M. S., 2002, “Turbulence Modeling in a Swirling Pipe Flow and Comparison With Experiments,” to be submitted.
Clift, R., Grace, J. R., and Weber, M. E., 1978, Bubbles, Drops and Particles, Academic Press, San Diego, CA.
Auton, T. R., 1984, “The Dynamics of Bubbles, Drops and Particles in Motion in Liquids,” Ph.D. dissertation, Cambridge University, Cambridge, UK.
Souhar, M., 1995, “Note sur les Trajectoires de Bulles Isolées dans un Écoulement de Type Swirling à Grand Nombre de Rossby,” LEMTA internal report.

Figures

Grahic Jump Location
Sketch of the pipe flow and of the rotating honeycomb. The inner radius of the pipe is R=0.03 m. The liquid/gas mixture flows through the honeycomb. Alternatively, the gaseous phase can also be injected by means of a needle.
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Photographs showing the device at work, for two different rotation rates. The honeycomb is located on the right-hand side of the photographs. In case (a) a liquid/gas mixture flows through the honeycomb. In case (b) a train of bubbles is introduced by means of the needle. The tip of the needle is locate outside the visualization frame. The effect of swirling is clearly visible here, as it makes the light phase converge to the vicinity of the pipe axis.
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Mean velocity profiles at sections z/R=2.4 and z/R=12 obtained from experiments and numerical computation (CFD code Fluent with Reynolds stresses (RSM) turbulence model). The Rossby number is Ro=0.59. In the vicinity of the center the velocity is close to a solid body rotation. The Rossby number in the four cases considered in the present paper will be larger than this one, and the corresponding velocity profiles will therefore be approximated by a solid-body rotation.
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Plot of the computed particle Reynolds number, for the four runs
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Plot of the decay of the r-coordinate in the four cases considered in this paper, obtained from the numerical computation. As predicted by the analysis, the oscillating regime appears when N is larger than about 200 rpm.
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Plot of the analytical solution (1617) of the nonlinear drag analysis (solid line), together with the full numerical solution (symbol ○) of the basic equations of motion (678) when N=104 rpm
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Comparison between experimental trajectories (solid lines) and computed trajectories (dashed lines)
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Evolution of the forces acting on the particle, for the run N=209 rpm

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