A two-equation turbulence model for dispersed dilute confined two-phase flows

Abstract A two-equation model for low Reynolds number turbulence has been developed for dispersed dilute two-phase confined flows. The two equations describe the conservation of turbulence kinetic energy and dissipation rate of that energy for the carrier fluid. The model is based on the closure for high Reynolds number two-phase flows reported previously. In order to validiate the proposed model, a turbulent two-phase pipe flow (air laden with spherical uniform-size particles) is predicted. The predictions of the mean flow properties of the two phases and the turbulence characteristics of the carrier phase show good agreement with the available experimental data.

[1]  Said Elghobashi,et al.  Prediction of the particle-laden jet with a two-equation turbulence model , 1984 .

[2]  F. Pourahmadi,et al.  Modelling solid-fluid turbulent flows with application to predicting erosive wear , 1983 .

[3]  A. M. Al Taweel,et al.  Turbulence modulation in two-phase jets , 1977 .

[4]  P. Saffman,et al.  On the stability of laminar flow of a dusty gas , 1962, Journal of Fluid Mechanics.

[5]  C. A. Depew,et al.  Analysis of Mean Flow Characteristics of Gas-Solids Suspensions , 1972 .

[6]  W. Jones,et al.  The prediction of laminarization with a two-equation model of turbulence , 1972 .

[7]  K. Hishida,et al.  Optical measurements of local gas and particle velocity in an upward flowing dilute gas-solids suspension. , 1980 .

[8]  Yoshinobu Morikawa,et al.  LDV measurements of an air-solid two-phase flow in a vertical pipe , 1984, Journal of Fluid Mechanics.

[9]  H. Brenner.  The slow motion of a sphere through a viscous fluid towards a plane surface , 1961 .

[10]  A. Maude.  End effects in a falling-sphere viscometer , 1961 .

[11]  M. Rizk,et al.  The motion of a spherical particle suspended in a turbulent flow near a plane wall , 1985 .

[12]  D. Drew.  Turbulent Sediment Transport Over a Flat Bottom Using Momentum Balance , 1975 .

[13]  Young Don Choi,et al.  Analysis of turbulent gas-solid suspension flow in a pipe , 1983 .

[14]  B. Launder,et al.  Mathematical Models of turbulence , 1972 .

[15]  AN EXPERIMENTAL STUDY OF A TURBULENT ROUND TWO-PHASE JET , 1984 .

[16]  K.-Y. Chien,et al.  Predictions of channel and boundary-layer flows with a low-Reynolds-number two-equation model of turbulence , 1980 .

[17]  J. Laufer,et al.  The Structure of Turbulence in Fully Developed Pipe Flow , 1953 .

[18]  J. Lumley,et al.  Some measurements of particle velocity autocorrelation functions in a turbulent flow , 1971, Journal of Fluid Mechanics.

[19]  Said Elghobashi,et al.  Two-component LDA measurement in a two-phase turbulent jet , 1983 .

[20]  Said Elghobashi,et al.  A two‐equation turbulence model for two‐phase flows , 1983 .

[21]  O. Molerus,et al.  Investigation of solid—liquid pipe flow with regard to turbulence modification , 1979 .

[22]  L. Leslie.  The development of concentrated vortices: a numerical study , 1971, Journal of Fluid Mechanics.

[23]  G. Csanady.  Turbulent Diffusion of Heavy Particles in the Atmosphere , 1963 .

[24]  P. Saffman.  The lift on a small sphere in a slow shear flow , 1965, Journal of Fluid Mechanics.