Euler–Lagrange modeling of a gas–liquid stirred reactor with consideration of bubble breakage and coalescence

Simulations of a gas–liquid stirred reactor including bubble breakage and coalescence were performed. The filtered conservation equations for the liquid phase were discretized using a lattice-Boltzmann scheme. A Lagrangian approach with a bubble parcel concept was used for the dispersed gas phase. Bubble breakage and coalescence were modeled as stochastic events. Additional assumptions for bubble breakup modeling in an Euler–Lagrange framework were proposed. The action of the reactor components on the liquid flow field was described using an immersed boundary condition. The predicted number-based mean diameter and long-term averaged liquid velocity components agree qualitatively and quantitatively well with experimental data for a laboratory-scale gas–liquid stirred reactor with dilute dispersion. Effects of the presence of bubbles, as well as the increase in the gas flow rate, on the hydrodynamics were numerically studied. The modeling technique offers an alternative engineering tool to gain detailed insights into complex industrial-scale gas–liquid stirred reactors. V C 2011 American Institute of Chemical Engineers AIChE J, 58: 1356–1370, 2012

[1]  M. Sommerfeld,et al.  Multiphase Flows with Droplets and Particles , 2011 .

[2]  Jos Derksen,et al.  Modeling of turbulent gas-liquid bubbly flows using stochastic Lagrangian model and lattice-Boltzmann scheme , 2011 .

[3]  D. Darmana,et al.  Numerical study of homogeneous bubbly flow: Influence of the inlet conditions to the hydrodynamic behavior , 2009 .

[4]  L. Fuchs,et al.  Numerical simulation of a gas-liquid Rushton stirred reactor - LES and LPT , 2008 .

[5]  Zai-Sha Mao,et al.  Large eddy simulation of the gasliquid flow in a stirred tank , 2008 .

[6]  Martin Sommerfeld,et al.  Euler/Lagrange Calculations of Bubbly Flows with Consideration of Bubble Coalescence , 2008 .

[7]  Tron Solberg,et al.  Flow Generated by an Aerated Rushton Impeller: Two‐phase PIV Experiments and Numerical Simulations , 2008 .

[8]  Alessandro Paglianti,et al.  Gas–liquid flow and bubble size distribution in stirred tanks , 2008 .

[9]  J. Derksen,et al.  Two-Way Coupled Large-Eddy Simulations of the Gas-Solid Flow in Cyclone Separators , 2008 .

[10]  Gusheng Hu,et al.  Eulerian-Lagrangian based large-eddy simulation of a partially aerated flat bubble column , 2008 .

[11]  Ville Alopaeus,et al.  Modelling local bubble size distributions in agitated vessels , 2007 .

[12]  G. Montante,et al.  Experimental Analysis and Computational Modelling of Gas–Liquid Stirred Vessels , 2007 .

[13]  Francine Battaglia,et al.  Hybrid Two-Fluid DEM Simulation of Gas-Solid Fluidized Beds , 2006 .

[14]  E. Fares.  Unsteady flow simulation of the Ahmed reference body using a lattice Boltzmann approach , 2006 .

[15]  Vivek V. Ranade,et al.  Gas–liquid flow generated by a Rushton turbine in stirred vessel: CARPT/CT measurements and CFD simulations , 2005 .

[16]  Jam Hans Kuipers,et al.  Application of coalescence and breakup models in a discrete bubble model for bubble columns , 2005 .

[17]  Ng Niels Deen,et al.  Multi-scale modeling of dispersed gas-liquid two-phase flow , 2004 .

[18]  R. I. Issa,et al.  Modelling of dispersed bubble and droplet flow at high phase fractions , 2004 .

[19]  John C. Middleton,et al.  Gas–Liquid Mixing in Turbulent Systems , 2004 .

[20]  Albert Ruprecht,et al.  Very Large Eddy Simulation for the Prediction of Unsteady Vortex Motion , 2004 .

[21]  S. Nemoda,et al.  Modeling of bubble break-up in stirred tanks , 2004 .

[22]  J. Derksen.  Numerical Simulation of Solids Suspension in a Stirred Tank , 2003 .

[23]  J. Boon.  The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .

[24]  D. Mewes,et al.  Bubble‐Size distributions and flow fields in bubble columns , 2002 .

[25]  Jos Derksen,et al.  Population Balance Modeling of Aerated Stirred Vessels Based on CFD , 2002 .

[26]  Tron Solberg,et al.  Large eddy simulation of the Gas-Liquid flow in a square cross-sectioned bubble column , 2001 .

[27]  Jos Derksen.  Assessment of Large Eddy Simulations for Agitated Flows , 2001 .

[28]  M. Sommerfeld.  Validation of a stochastic Lagrangian modelling approach for inter-particle collisions in homogeneous isotropic turbulence , 2001 .

[29]  L. Fuchs,et al.  LES OF A TWO-PHASE TURBULENT STIRRED REACTOR , 2001, Proceeding of Second Symposium on Turbulence and Shear Flow Phenomena.

[30]  Gogate,et al.  Multiple-impeller systems with a special emphasis on bioreactors: a critical review. , 2000, Biochemical engineering journal.

[31]  E. Loth.  Numerical approaches for motion of dispersed particles, droplets and bubbles , 2000 .

[32]  Marilyn F. Lightstone,et al.  A Comparison of Stochastic Separated Flow Models for Particle Dispersion in Turbulent Flows , 2000 .

[33]  Jos Derksen,et al.  Large eddy simulations on the flow driven by a Rushton turbine , 1999 .

[34]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[35]  Jos Derksen,et al.  Parallel Fluid Flow Simulations by Means of a Lattice-Boltzmann Scheme , 1997, HPCN Europe.

[36]  H. Svendsen,et al.  Theoretical model for drop and bubble breakup in turbulent dispersions , 1996 .

[37]  J. Kuipers,et al.  Discrete particle simulation of bubble and slug formation in a two-dimensional gas-fluidised bed: A hard-sphere approach. , 1996 .

[38]  J. A. Somers,et al.  Numerical simulation of free convective flow using the lattice-Boltzmann scheme , 1995 .

[39]  J. A. Somers.  Direct simulation of fluid flow with cellular automata and the lattice-Boltzmann equation , 1993 .

[40]  L. Sirovich,et al.  Modeling a no-slip flow boundary with an external force field , 1993 .

[41]  Yutaka Tsuji,et al.  Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe , 1992 .

[42]  G. Tryggvason,et al.  A front-tracking method for viscous, incompressible, multi-fluid flows , 1992 .

[43]  R. G. Rice,et al.  Bubble size prediction for rigid and flexible spargers , 1991 .

[44]  Michael J. Prince,et al.  Bubble Coalescence and Break-up in Air Sparged Biochemical Reactors , 1990 .

[45]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[46]  D. Spalding.  A Single Formula for the “Law of the Wall” , 1961 .

[47]  E. R. V. Driest.  On Turbulent Flow Near a Wall , 1956 .