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TECHNICAL PAPERS

The Modeling of Lift and Dispersion Forces in Two-Fluid Model Simulations of a Bubbly Jet

[+] Author and Article Information
M. Lopez de Bertodano

Nuclear Engineering Department, Purdue University, West Lafayette, IN 47907-2017, USA

F. J. Moraga, D. A. Drew, R. T. Lahey

Center for Multiphase Research, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, USA

J. Fluids Eng 126(4), 573-577 (Sep 10, 2004) (5 pages) doi:10.1115/1.1777231 History: Received August 15, 2002; Revised July 16, 2003; Online September 10, 2004
Copyright © 2004 by ASME
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References

Drew,  D. A., 2001, “A Turbulent Dispersion Model for Particles or Bubbles,” J. Eng. Math., 41(2–3), NOV pp. 259–274.
Reeks,  M. W., 1993, “On the Constitutive Relations for Dispersed Particles in Nonuniform Flows. I: Dispersion in a Simple Shear Flow,” Phys. Fluids A, 5(3), pp. 750–761.
Reeks,  M. W., 1992, “On the Continuum Equations for Dispersed Bubbles in Non-Uniform Flows,” Phys. Fluids A, 4(6), pp. 1290–1302.
Reeks,  M. W., 1991, “On a Kinetic Equation for the Transport of Bubbles in Turbulent Flows,” Phys. Fluids A, 3(3), pp. 446–456.
Lopez de Bertodano,  M., 1998, “Two Fluid Model for Two-Phase Turbulent Jet,” Nucl. Eng. Des., 179, pp. 65–74.
Moraga, F. J., Larreteguy, A. E., Drew, D. A., and Lahey, R. T., Jr., 2001, “Assessment of Turbulent Dispersion Models for Bubbly Flows,” Paper 379, 4th International Conference on Multiphase Flow. New Orleans LA, USA.
Moraga,  F. J., Larreteguy,  A. E., Drew,  D. A., and Lahey,  R. T., 2003, “Assesment of Turbulent Dispersion Models for Bubbly Flow in the Low Stokes Number Limit,” Int. J. Multiphase Flow, 29(4), pp. 655–673.
Sun, T.-Y., 1985, “A Theoretical and Experimental Study on Noncondensible Turbulent Bubbly Jets,” Ph.D. Dissertation, The Pennsylvania State University, University Park, PA.
Brucato,  A., Grisafi,  F., and Montante,  G., 1998, “Particle Drag Coefficients in Turbulent Fluids,” Chem. Eng. Sci., 53(18), pp. 3295–3314.
Kurose,  R., and Komori,  S., 1999, “Drag and Lift Forces on a Rotating Sphere in Laminar Shear Flows,” J. Fluid Mech., 384, pp. 183–206.
Sun,  T.-Y., and Faeth,  G. M., 1986, “Structure of Turbulent Bubbly Jets -I. Methods and Centerline Properties, -II. Phase Property Profiles,” Int. J. Multiphase Flow, 12, pp. 99–126.
Drew, D. A., and Passman, S. L., 1998, Theory of multicomponent fluids, App. Math. Sci. 135 , Springer.
Tomiyama, A., 1998, “Struggle With Computational Bubble Dynamics,” Third Int. Conf. on Multiphase Flows, ICMF’98, Lyon, France.
Ishii, M., 1987, Two-Fluid Model for Two-Phase Flow, 2nd Int. Workshop on Two-Phase Flow Fundamentals, Rensselaer Polytechnic Institute, Troy, NY.
Auton,  T. R., 1987, “The Lift Force on a Spherical Body in a Rotational Flow,” J. Fluid Mech., 183, pp. 199–213.
Legendre,  D., and Magnaudet,  J., 1998, “The Lift Force on a Spherical Bubble in Viscous Linear Flow,” J. Fluid Mech., 368, pp. 81–126.
Bagchi,  P., and Balachandar,  P., 2002, “Effect of Free Rotation on the Motion of a Solid Sphere in Linear Shear Flow at Moderate Re,” Phys. Fluids, 14, pp. 2719–2737.
Naciri, M. A., 1992, “Contribution a l’etude des forces exercees por un liquide sur une bulle de gaz, masse ajoutee et interactions hydrodynamiques,” Ph.D. Thesis, L’Ecole Central de Lyon, Lyon, France.
Loth,  E., 2001, “An Eulerian Turbulent Diffusion Model for Particles and Bubbles,” Int. J. Multiphase Flow, 27, pp. 1051–1063.

Figures

Grahic Jump Location
Average liquid velocity
Grahic Jump Location
Kinetic energy of the turbulence
Grahic Jump Location
Normalized void fraction with and without correction for drag modulation by turbulence (x/D=24)
Grahic Jump Location
Average bubble and liquid velocity (x/D=8)
Grahic Jump Location
Average bubble and liquid velocity (x/D=24)
Grahic Jump Location
Final normalized void fraction predictions

Tables

Errata

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