The modelling of buoyancy driven flow in bubble columns

Using the analogy between lateral convection of heat and the two-phase flow in bubble columns, alternative turbulence modelling methods were analysed. The k-e turbulence and Reynolds stress models were used to predict the buoyant motion of fluids where a density difference arises due to the introduction of heat or a discrete phase. A large height to width aspect ratio cavity was employed in the transport of heat and it was shown that the Reynolds stress model with the use of velocity profiles including the laminar flow solution resulted in turbulent vortices developing. The turbulence models were then applied to the simulation of gas-liquid flow for a 5:1 height to width aspect ratio bubble column. In the case of a gas superficial velocity of 0.02 m s-1 it was determined that employing the Reynolds stress model yielded the most realistic simulation results. © 2003 Elsevier B.V. All rights reserved.

[1]  E. Delnoij,et al.  Fluid dynamics of gas-liquid bubble columns , 1999 .

[2]  F. Busse,et al.  Three-dimensional tertiary motions in a plane shear layer , 1983, Journal of Fluid Mechanics.

[3]  R. Torvik,et al.  Modelling of slurry reactors. A fundamental approach , 1990 .

[4]  Alexei Lapin,et al.  Numerical simulation of the dynamics of two-phase gasliquid flows in bubble columns , 1994 .

[5]  Sotos C. Generalis,et al.  CFD and bubble column reactors:simulation and experiment , 2000 .

[6]  V. Ranade Modelling of turbulent flow in a bubble column reactor , 1997 .

[7]  H. F. Svendsen,et al.  Local flow structures in internal loop and bubble column reactors , 1992 .

[8]  Robert W. Field,et al.  Bubble Column Reactors , 1991 .

[9]  Gerhart Eigenberger,et al.  Gas—liquid flow in bubble columns and loop reactors: Part II. Comparison of detailed experiments and flow simulations , 1994 .

[10]  Gerhart Eigenberger,et al.  Applicability of the standard k–ε turbulence model to the dynamic simulation of bubble columns: Part I. Detailed numerical simulations , 1999 .

[11]  Shantanu Roy,et al.  Numerical simulation of gas}liquid dynamics in cylindrical bubble column reactors , 1999 .

[12]  N. Zuber,et al.  Drag coefficient and relative velocity in bubbly, droplet or particulate flows , 1979 .

[13]  Timothy J. Barth,et al.  The design and application of upwind schemes on unstructured meshes , 1989 .

[14]  N. Zuber,et al.  Average volumetric concentration in two-phase flow systems , 1965 .

[15]  Arnon Chait,et al.  The secondary flow and its stability for natural convection in a tall vertical enclosure , 1989, Journal of Fluid Mechanics.

[16]  H. V. D. Akker,et al.  Coherent structures in multiphase flows , 1998 .

[17]  Gerhart Eigenberger,et al.  Dynamic Numerical Simulation of Gas-Liquid Two Phase Flows, Euler-Euler versus Euler-Lagrange , 1997 .

[18]  M. Duduković,et al.  Experimental study of gas‐induced liquid‐flow structures in bubble columns , 2001 .

[19]  J. P. V. Doormaal,et al.  ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS , 1984 .

[20]  M. Manninen,et al.  On the mixture model for multiphase flow , 1996 .

[21]  E. Bender Numerical heat transfer and fluid flow. Von S. V. Patankar. Hemisphere Publishing Corporation, Washington – New York – London. McGraw Hill Book Company, New York 1980. 1. Aufl., 197 S., 76 Abb., geb., DM 71,90 , 1981 .

[22]  Gregory Cartland-Glover,et al.  Dynamic simulations of multiphase flow in bubble columns. , 2000 .

[23]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[24]  Gerhart Eigenberger,et al.  Gas—liquid flow in bubble columns and loop reactors: Part I. Detailed modelling and numerical simulation , 1994 .

[25]  Jyeshtharaj B. Joshi,et al.  Computational flow modelling and design of bubble column reactors , 2001 .

[26]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[27]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .

[28]  Mamoru Ishii,et al.  Two-fluid model and hydrodynamic constitutive relations , 1984 .