One-group interfacial area transport of bubbly flows in vertical round tubes

Abstract In relation to the development of the interfacial area transport equation, the sink and source terms in an adiabatic bubbly flow system were modeled based on the mechanisms of bubble–bubble and bubble–turbulent eddy random collisions, respectively. The interfacial area transport mechanism was discussed based on the derived model. One-dimensional interfacial area transport equation with the derived sink and source terms was evaluated by using the area averaged flow parameters of adiabatic air–water bubbly flows measured in 25.4 mm and 50.8 mm diameter tubes. The flow conditions of the data set covered most of the bubbly flow regime, including finely dispersed bubbly flow (inlet superficial gas velocity: 0.0414–3.90 m/s, superficial liquid velocity: 0.262–5.00 m/s, void fraction: 1.27–46.8%). Excellent agreement was obtained between modeled and measured interfacial area concentrations within the average relative deviation of 11.6%. It was recognized that the present model would be promising for the interfacial area transport of the examined bubbly flows.

[1]  Won Kook Lee,et al.  COALESCENCE BEHAVIOR OF TWO BUBBLES IN STAGNANT LIQUIDS , 1987 .

[2]  D. Chisholm.  A theoretical basis for the Lockhart-Martinelli correlation for two-phase flow , 1967 .

[3]  Mamoru Ishii,et al.  Interfacial area and nucleation site density in boiling systems , 1983 .

[4]  H. Blanch,et al.  Bubble coalescence and break‐up in air‐sparged bubble columns , 1990 .

[5]  Mamoru Ishii,et al.  Local measurement of interfacial area, interfacial velocity and liquid turbulence in two-phase flow , 1998 .

[6]  Costas Tsouris,et al.  Breakage and coalescence models for drops in turbulent dispersions , 1994 .

[7]  Mamoru Ishii,et al.  Study of two-fluid model and interfacial area , 1980 .

[8]  Nicholas P. Cheremisinoff,et al.  Handbook of fluids in motion , 1983 .

[9]  R. Lockhart.  Proposed Correlation of Data for Isothermal Two-Phase, Two-Component Flow in Pipes , 1949 .

[10]  Mamoru Ishii,et al.  Local interfacial area measurement in bubbly flow , 1992 .

[11]  J. N. Reyes.  Statistically derived conservation equations for fluid particle flows , 1989 .

[12]  M. J. Lockett,et al.  The influence of approach velocity on bubble coalescence , 1974 .

[13]  Harvey W. Blanch,et al.  BUBBLE COALESCENCE IN STAGNANT LIQUIDS , 1986 .

[14]  Mamoru Ishii,et al.  One-group interfacial area transport in vertical bubbly flow , 1998 .

[15]  Mamoru Ishii,et al.  Foundation of the interfacial area transport equation and its closure relations , 1995 .

[16]  David Azbel,et al.  Two-phase flows in chemical engineering , 1981 .

[17]  Lawrence L. Tavlarides,et al.  Description of interaction processes in agitated liquid-liquid dispersions , 1977 .

[18]  G. Kocamustafaogullari,et al.  Measurement and modeling of average void fraction, bubble size and interfacial area , 1994 .

[19]  N. Afgan.  Transient phenomena in multiphase flow , 1988 .

[20]  A. E. Dukler,et al.  Modelling flow pattern transitions for steady upward gas‐liquid flow in vertical tubes , 1980 .

[21]  H. Blanch,et al.  Bubble coalescence in air‐sparged bioreactors , 1986, Biotechnology and bioengineering.