Measurement and modeling of turbulence in the gas/liquid two-phase zone during gas injection

Averaged and turbulent fluctuating liquid velocities in the gas/liquid plume zone of a gas-stirred water model ladle were measured with a combined laser Doppler anemometer (LDA) and elec-trical probe technique. The measured turbulence fields, void fraction distribution, and gas and liquid velocities in the plume zone were used for evaluation of various turbulence models. It was found that, among all of the turbulence models tested, only a modified k-ε model, with extra source terms to take into account the generation and dissipation resulting from the inter-action of the bubbles with the liquid, yielded good agreement with both the mean liquid flow field and the turbulent kinetic energy distribution. However, the values of the coefficients orig-inally proposed by their authors were found inapplicable to the bubbly plume situation; more appropriate values of the coefficients were determined based on comparison with experimental measurement.

[1]  Dudley Brian Spalding,et al.  Numerical prediction of recirculation flows with free convection encountered in gas-agitated reactors , 1978 .

[2]  Stein Tore Johansen,et al.  Fluid dynamics in bubble stirred ladles: Part II. Mathematical modeling , 1988 .

[3]  R. Clift,et al.  Bubbles, Drops, and Particles , 1978 .

[4]  Some numerical considerations of optimal allocation with gravity flow costs , 1978 .

[5]  E. R. G. Eckert,et al.  The effect of turbulence parameters and support position on the heat transfer from spheres , 1968 .

[6]  J. K. Brimacombe,et al.  Measurement of physical characteristics of bubbles in gas-liquid plumes: Part I. An improved electroresistivity probe technique , 1987 .

[7]  Julian Szekely,et al.  Flow pattern velocity and turbulence energy measurements and predictions in a water model of an argon-stirred ladle , 1976 .

[8]  D. Mazumdar On Effective viscosity models for gas-stirred ladle systems , 1989 .

[9]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[10]  J. K. Brimacombe,et al.  Plume characteristics and liquid circulation in gas injection through a porous plug , 1990 .

[11]  M. Sano,et al.  Dynamics of Bubble Swarms in Liquid Metals , 1980 .

[12]  Julian Szekely,et al.  The modeling of gas-bubble driven circulations systems. , 1990 .

[13]  J. K. Brimacombe,et al.  Measurement of physical characteristics of bubbles in gas-liquid plumes: Part II. Local properties of turbulent air-water plumes in vertically injected jets , 1987 .

[14]  Julian Szekely,et al.  An experimental and theoretical study of gas bubble driven circulation systems , 1982 .

[15]  Veena Sahajwalla,et al.  The spout of air jets upwardly injected into a water bath , 1990 .

[16]  G. A. Irons,et al.  A combined laser Doppler anemometry and electrical probe diagnostic for bubbly two-phase flow , 1991 .

[17]  Roderick I. L. Guthrie,et al.  Hydrodynamic modeling of some gas injection procedures in ladle metallurgy operations , 1985 .

[18]  Gordon A. Irons,et al.  Measurements of the internal structure of gas-liquid plumes , 1992 .

[19]  R. Guthrie,et al.  Effective viscosity models for gas stirred ladles , 1982 .

[20]  Stein Tore Johansen,et al.  Fluid dynamics in bubble stirred ladles: Part I. experiments , 1988 .

[21]  A.M.O. Smith,et al.  Turbulence models and their application in hydraulics: W. Rodi, University of Karlsruhe, International Association for Hydraulic Research, Rotterdamseweg 185, 2600 MH Delft, The Netherlands , 1981 .