Numerical Simulation of Polydispersed Flow in Bubble Columns with the Inhomogeneous Multi‐Size‐Group Model

The present paper shows the influence of considering polydispersity of bubbly flow, simulating bubble columns with a three-dimensional Eulerian two-fluid model. A complete set of interfacial closure models regarding drag force, lift force, wall force, turbulent dispersion force and bubble-induced turbulence is considered. A round bubble column of 0.288 m diameter and 2.5 m height is simulated up to a superficial gas velocity of 1 cm s–1 and compared with experimental data. It is shown that considering the polydispersity including the non-drag forces, important flow properties of bubble columns are reproduced. Possible influences of swarm effects on the non-drag forces are discussed and needs for further investigations are given.

[1]  M. Bertodano.  Two fluid model for two-phase turbulent jets , 1998 .

[2]  Mamoru Ishii,et al.  Lift force in bubbly flow systems , 2007 .

[3]  Ehsan Shams,et al.  A numerical scheme for Euler–Lagrange simulation of bubbly flows in complex systems , 2011 .

[4]  Rodney O. Fox,et al.  CFD predictions for flow‐regime transitions in bubble columns , 2005 .

[5]  Eckhard Krepper,et al.  Development of co-current air–water flow in a vertical pipe , 2005 .

[6]  Thomas Menzel,et al.  Reynolds shear stress for modeling of bubble column reactors , 1990 .

[7]  M. Simonnet,et al.  CFD simulation of the flow field in a bubble column reactor: Importance of the drag force formulation to describe regime transitions , 2008 .

[8]  Vivek V. Ranade,et al.  Dynamics of gas-liquid flow in a rectangular bubble column: Experiments and single/multi-group CFD simulations , 2002 .

[9]  Jyeshtharaj B. Joshi,et al.  Pressure and flow distribution in pipe and ring spargers: experimental measurements and CFD simulation , 2007 .

[10]  M. T. Dhotre,et al.  Simulation of oscillatory baffled column: CFD and population balance , 2007 .

[11]  M. Duduković,et al.  Four-point optical probe for measurement of bubble dynamics: Validation of the technique , 2008 .

[12]  Hanns Hofmann,et al.  Investigations and modelling of bubble columns , 1992 .

[13]  M. Duduković,et al.  COMPUTATIONAL MODELING OF GAS-LIQUID FLOW IN BUBBLE COLUMNS , 2004 .

[14]  M. T. Dhotre,et al.  CFD simulation of bubble column , 2010 .

[15]  Alfredo Iranzo,et al.  Numerical simulation of the gas–liquid flow in a laboratory scale bubble column: Influence of bubble size distribution and non-drag forces , 2008 .

[16]  M. Simonnet,et al.  Experimental determination of the drag coefficient in a swarm of bubbles , 2007 .

[17]  Hidesada Tamai,et al.  Transverse migration of single bubbles in simple shear flows , 2002 .

[18]  Jam Hans Kuipers,et al.  Numerical simulation of the dynamic flow behavior in a bubble column : A study of closures for turbulence and interface forces , 2006 .

[19]  R. F. Mudde,et al.  Uniform Flow in Bubble Columns , 2009 .

[20]  C. Lifante,et al.  Comparative study of wall-force models for the simulation of bubbly flows , 2012 .

[21]  Michio Sadatomi,et al.  Momentum and heat transfer in two-phase bubble flow—I. Theory , 1981 .

[22]  S. Becker,et al.  Modelling and simulation of the dynamic flow behaviour in a bubble column , 2001 .

[23]  I. Zun,et al.  The transverse migration of bubbles influenced by walls in vertical bubbly flow , 1980 .

[24]  Yatish T. Shah,et al.  Design parameters estimations for bubble column reactors , 1982 .

[25]  Akio Tomiyama,et al.  On the role of the lateral lift force in poly-dispersed bubbly flows , 2011 .

[26]  Th. Frank,et al.  VALIDATION OF CFD MODELS FOR MONO- AND POLYDISPERSE AIR-WATER TWO-PHASE FLOWS IN PIPES , 2008 .

[27]  Akio Tomiyama,et al.  TURBULENCE MODIFICATION IN GAS-LIQUID AND SOLID-LIQUID DISPERSED TWO-PHASE PIPE FLOWS , 2004, Proceeding of Third Symposium on Turbulence and Shear Flow Phenomena.

[28]  A. Tomiyama,et al.  A drag correlation of fluid particles rising through stagnant liquids in vertical pipes at intermediate Reynolds numbers , 2009 .

[29]  Sankaran Sundaresan,et al.  Lift force in bubbly suspensions , 2002 .

[30]  Jyeshtharaj B. Joshi,et al.  CFD simulations of bubble column reactors: 1D, 2D and 3D approach , 2005 .

[31]  Rajamani Krishna,et al.  Scaling up Bubble Column Reactors with the Aid of CFD , 2001 .

[32]  Ashfaq Shaikh,et al.  A Review on Flow Regime Transition in Bubble Columns , 2007 .

[33]  Eckhard Krepper,et al.  Use of models for lift, wall and turbulent dispersion forces acting on bubbles for poly-disperse flows , 2007 .

[34]  J. Magnaudet.  Small inertial effects on a spherical bubble, drop or particle moving near a wall in a time-dependent linear flow , 2003, Journal of Fluid Mechanics.

[35]  D. Lohse,et al.  Energy spectra and bubble velocity distributions in pseudo-turbulence: Numerical simulations vs. experiments , 2011 .

[36]  Milorad P. Dudukovic,et al.  Chaotic flow in bubble column reactors , 1995 .

[37]  Jam Hans Kuipers,et al.  Numerical and experimental investigation of the lift force on single bubbles , 2010 .

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

[39]  Wei Ge,et al.  Computational Fluid Dynamics Simulation of Regime Transition in Bubble Columns Incorporating the Dual-Bubble-Size Model , 2009 .

[40]  Robert F. Mudde,et al.  Hydrodynamical similarities between bubble column and bubbly pipe flow , 2001, Journal of Fluid Mechanics.

[41]  Mandar Tabib,et al.  CFD simulation of bubble column—An analysis of interphase forces and turbulence models , 2008 .

[42]  A lattice Boltzmann study on the drag force in bubble swarms , 2011, Journal of Fluid Mechanics.

[43]  A. K. Agrawal,et al.  Shape of liquid drops moving in liquid media , 1966 .

[44]  Eckhard Krepper,et al.  The inhomogeneous MUSIG model for the simulation of polydispersed flows , 2008 .

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

[46]  Carlos A. Dorao,et al.  Modeling of Bubble Column Reactors: Progress and Limitations , 2005 .

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

[48]  M. Fialová,et al.  Duality of the gas-liquid flow regimes in bubble column reactors , 1997 .

[49]  Hugo A. Jakobsen,et al.  Phase distribution phenomena in two-phase bubble column reactors , 2001 .

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

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

[52]  Eckhard Krepper,et al.  CFD modelling of subcooled boiling—Concept, validation and application to fuel assembly design , 2007 .

[53]  V. Buwa,et al.  Experimental Investigations of Rise Behavior of Monodispersed/Polydispersed Bubbly Flows in Quiescent Liquids , 2010 .

[54]  Guan Heng Yeoh,et al.  A Review of Population Balance Modelling for Isothermal Bubbly Flows , 2009 .

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

[56]  Ym Yuk Man Lau,et al.  Numerical investigation of the drag closure for bubbles in bulle swarms , 2011 .

[57]  Dieter Bothe,et al.  VOF‐Simulation of the Lift Force for Single Bubbles in a Simple Shear Flow , 2006 .

[58]  Marcela K. Silva,et al.  Study of the interfacial forces and turbulence models in a bubble column , 2012, Comput. Chem. Eng..

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

[60]  M. Ishii,et al.  Thermo-Fluid Dynamics of Two-Phase Flow , 2007 .

[61]  A. Kulkarni.  Lift force on bubbles in a bubble column reactor: Experimental analysis , 2008 .

[62]  Rongshun Wang,et al.  MUSIG modeling and evaluation of nitrogen bubble coalescence in a bottom-closed vertical tube , 2010 .

[63]  Ng Niels Deen,et al.  One-equation sub-grid scale (SGS) modelling for Euler-Euler large eddy simulation (EELES) of dispersed bubbly flow , 2008 .

[64]  Miguel A. Galán,et al.  Influence of the lift force closures on the numerical simulation of bubble plumes in a rectangular bubble column , 2009 .

[65]  B. Kulkarni,et al.  Simultaneous measurement of hold-up profiles and interfacial area using LDA in bubble columns: predictions by multiresolution analysis and comparison with experiments , 2001 .

[66]  Annalisa Manera,et al.  Influence of the lift force on the stability of a bubble column , 2005 .

[67]  Jyeshtharaj B. Joshi,et al.  On the development of flow pattern in a bubble column reactor : Experiments and CFD , 2007 .

[68]  Horst-Michael Prasser,et al.  Steam bubble condensation in sub-cooled water in case of co-current vertical pipe flow , 2007 .