Numerical Study of the Three-Dimensional Structure of a Bubble Plume

[+] Author and Article Information
Y. Murai

Department of Mechanical Engineering, Fukui University, Bunkyo 3-9-1, Fukui 910-8507, Japane-mail: murai@fv.mech.fukui-u.ac.jp

Y. Matsumoto

Department of Mechanical Engineering, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-8654, Japan

J. Fluids Eng 122(4), 754-760 (Jun 20, 2000) (7 pages) doi:10.1115/1.1313245 History: Received April 22, 1999; Revised June 20, 2000
Copyright © 2000 by ASME
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Wijngaaden,  L., 1972, “One-Dimensional Flow of Liquids Containing Small Gas Bubbles,” Annu. Rev. Fluid Mech., 4, pp. 369–395.
Ransom, V. H., et al., 1985, “RELAP/MOD2 Code Manual, Vol. 1, Code Structure, System Models, and Solution Methods,” NUREG/CR-4312, EGG-2796.
Liles, D., et al., 1986, “TRAC-PFI/MOD1, An Advanced Best Estimate Computer Program for Pressurized Water Reactor Thermal-Hydrotic Analysis,” NUREG/CP-3858, LA-10157-MS.
Kataoka,  I., and Serizawa,  A., 1989, “Basic Equations of Turbulence in Gas-Liquid Two-Phase Flows,” Int. J. Multiphase Flow, 15-5, pp. 843–860.
Stewart,  C. W., and Crowe,  C. T., 1993, “Bubble Dispersion in Free Shear Flows,” Int. J. Multiphase Flow, 19-3, pp. 501–515.
Zhang,  D. Z., and Prosperetti,  A., 1994, “Ensemble Phase-Averaged Equations for Bubbly Flows,” Phys. Fluids, 6, No. 9, pp. 2956–2970.
Unverdi,  S. O., and Tryggvason,  G., 1992, “A Front-Tracking Method for Viscous, Incompressible, Multi-fluid Flows,” J. Comput. Phys.,100, No. 1, pp. 25–37.
Esmaeeli,  A., and Tryggvason,  G., 1996, “An Inverse Energy Cascade in Two-Dimensional Low Reynolds Number Bubbly Flows,” J. Fluid Mech., 314, pp. 315–336.
Murai, Y., and Matsumoto, Y., 1994, “The Transient Flow Structure of Bubble Mixtured Liquid Jets,” ASME-FED, 185 , pp. 203–208.
Druzhinin,  O. A. and Elghobashi,  S., 1998, “Direct Numerical Simulation of Bubble-Laden Turbulent Flows Using the Two-Fluid Formulation,” Phys. Fluids, 10, No. 3, pp. 685–697.
Hassan,  Y. A., and Canaan,  R. E., 1991, “Full-Field Bubbly Flow Velocity Measurements Using a Multiframe Particle Tracking Technique,” Exp. Fluids, 12, pp. 49–56.
Sridhar,  G., and Katz,  J., 1995, “Drag and Lift Forces on Microscopic Bubbles Entrained by a Vortex,” Phys. Fluids A, 7, pp. 389–402.
Ruetsch,  G. R., and Meiburg,  E., 1993, “On the Motion of Small Spherical Bubbles in Two-Dimensional Vortical Flow,” Phys. Fluids A, 5, pp. 2326–2340.
Michaelides,  E. E., 1997, “Review—The Transient Equation of Motion for Particles, Bubbles, and Droplets,” ASME J. Fluids Eng. 119, pp. 233–247.
Rietema,  K., and Ottengraf,  P. P., 1970, “Laminar Liquid Circulation and Bubble Street Formation in a Gas-Liquid System,” Trans. Inst. Chem. Eng., 48, pp. 54–62.
Hussain,  N. A., and Siegel,  R., 1976, “Liquid Jet Pumped by Rising Gas Bubbles,” ASME J. Fluids Eng. 98, pp. 49–61.
McDougall,  T. J., 1978, “Bubble Plume in Stratified Environments,” J. Fluid Mech., 85, pp. 655–672.
Alam,  M. and Arakeri,  V. H., 1993, “Observations on Transition in Plain Bubble Plumes,” J. Fluid Mech., 254, pp. 363–380.
Iguchi,  M., Okita,  K., Nakatani,  T., and Kasai,  N., 1997, “Structure of Turbulent Round Bubbling Jet Generated by Premixed Gas and Liquid Injection,” Int. J. Multiphase Flow, 23, No. 2, pp. 249–262.
Leitch,  A. M., and Baines,  W. D., 1989, “Liquid Volume Flux in a Weak Bubble Plume,” J. Fluid Mech., 205, pp. 77–95.
Gross, R. W., and Kuhlman, J. M., 1991, “Three-Component Velocity Measurements in a Laboratory Bubble Column,” Proc. Int. Conf. Multiphase Flow ’91-Tsukuba, G. Matsui et al., eds., Japan Society of Multiphase Flow, pp. 157–163.
Bhaga,  D. and Weber,  M. E., 1981, “Bubbles in Viscous Liquids: Shapes, Wakes, and Velocities,” J. Fluid Mech., 105, pp. 61–85.
Murai,  Y., and Matsumoto,  Y., 1998, “Numerical Analysis of Detailed Flow Structure in a Bubble Plume,” JSME Int. J., Ser. B, 64-626, pp. 568–574.
Plesset,  M. S., and Presperetti,  A. 1977, “Bubble Dynamics and Cavitation,” Annu. Rev. Fluid Mech., 9, pp. 587–616.
Batchelor, G. K., 1967, An Introduction to Fluid Dynamics, Cambridge University Press, pp. 452–455.
Auton,  T. R., 1987, “The Lift Force on a Spherical Body in a Rotational Flow,” J. Fluid Mech., 183, pp. 199–212.
Auton,  T. R., Hunt,  J. C. R., and Prud’homme,  M., 1988, “The Force Exerted on a Body in Inviscid Unsteady Non-Uniform Rotational Flow,” J. Fluid Mech., 197, pp. 241–260.
Moore,  D. W., 1959, “The Rise of a Gas Bubble in a Viscous Liquid,” J. Fluid Mech., 6, pp. 113–130.
Hirt,  C. W., and Cook,  J. L., 1972, “Calculating Three-Dimensional Flows Around Structures and over Rough Terrain,” J. Comput. Phys.,10, pp. 324–340.
Lance,  M., and Bataille,  J., 1991, “Turbulence in the Liquid Phase of a Uniform Bubbly Air-Water Flow,” J. Fluid Mech., 222, pp. 95–120.
Takewaki,  H., and Yabe,  T., 1987, “The CIP Method; Application to Nonlinear and Multi-Dimensional Hyperbolic Equations,” J. Comput. Phys., 70, pp. 345–356.
Snow,  J. T., Church,  C. R., and Bahnhart,  B. J., 1980, “An Investigation of the Surface Pressure Fields Beneath Simulated Tornado Cyclones,” J. Atmos. Sci., 77, pp. 1013–1026.


Grahic Jump Location
Restriction of numerical diffusion by CIP scheme
Grahic Jump Location
Starting structures of bubble plumes (top: R=0.2 mm, bottom: R=0.5 mm)
Grahic Jump Location
Three-dimensional behavior of bubble plume (prediction and experiment)
Grahic Jump Location
Instantaneous structure of center of gravity of the bubble plume (simulation and experiment): measurement uncertainty is estimated 0.01 m due to accuracy of image processing
Grahic Jump Location
Rising velocity profile of two phases in the bubble plume (open circle: bubble, closed circle: particle)
Grahic Jump Location
Liquid velocity wave form (thick=outside, thin=inside the bubble plume)
Grahic Jump Location
Force component ratio of bubbles in the bubble plume (INERTIA=inertia+added inertia, PRESSURE=pressure gradient force, DRAG=drag, LIFT=lift, VISCOSITY=viscous stress from liquid flow)
Grahic Jump Location
Frequency response characteristics of a spherical bubble (γ=density ratio of dispersion against continuous phase, η=viscosity factor)



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