Numerical simulation and experimental validation of bubble behavior in 2D gas–solid fluidized beds with immersed horizontal tubes

Abstract The two-fluid model based on the kinetic theory of granular flow is considered to be a fundamental tool for modeling gas–solid fluidized beds and has been extensively used for the last couple of decades. However its verification and quantitative validation still remain insufficient for a wide range of reactor geometries and operating conditions. In this study simulations were performed using the two-fluid model for two-dimensional (2D) bubbling gas–solid fluidized beds with and without immersed horizontal tubes. The bubble characteristics – aspect ratio, shape factor, diameter and rise velocity – predicted by the simulation were compared and validated with experimental data obtained from pseudo-2D fluidized beds using digital image analysis technique. The predicted bubble shape and diameter were in good agreement with the experimental data for fluidized beds with and without immersed tubes. The simulation predicted higher bubble rise velocity compared to the experimental results obtained. This was due to the wall effect, which was not taken into consideration during the 2D simulation. In addition the influences of different drag laws, friction packing limits and solid-wall boundary conditions on the different bubble properties were investigated. The results showed that the choice of friction packing limits, drag laws and specularity coefficients have little influence on bubble properties.

[1]  Teklay Weldeabzgi Asegehegn,et al.  Hydrodynamic Simulation of Gas-Solid Bubbling Fluidized Bed Containing Horizontal Tubes , 2009 .

[2]  Y. Tsuji,et al.  Discrete particle simulation of two-dimensional fluidized bed , 1993 .

[3]  R. Jackson,et al.  Frictional–collisional constitutive relations for granular materials, with application to plane shearing , 1987, Journal of Fluid Mechanics.

[4]  R. Krishna,et al.  Wall effects on the rise of single gas bubbles in liquids , 1999 .

[5]  Dimitri Gidaspow,et al.  Fluidization in Two-Dimensional Beds with a Jet. 2. Hydrodynamic Modeling , 1983 .

[6]  Mattias Gustavsson,et al.  Numerical simulation of fluid dynamics in fluidized beds with horizontal heat exchanger tubes , 2000 .

[7]  P. Olowson Influence of pressure and fluidization velocity on the hydrodynamics of a fluidized bed containing horizontal tubes , 1994 .

[8]  J. X. Bouillard,et al.  Porosity distributions in a fluidized bed with an immersed obstacle , 1989 .

[9]  Robert W. Lyczkowski,et al.  Numerical simulation and experimental validation of solids flows in a bubbling fluidized bed , 1999 .

[10]  Hsiaotao Bi,et al.  Reduction of electrostatic charges in gas–solid fluidized beds , 2002 .

[11]  David G. Schaeffer,et al.  Instability in the evolution equations describing incompressible granular flow , 1987 .

[12]  Pradeep K. Agarwal,et al.  Influence of horizontal tube banks on the behavior of bubbling fluidized beds: 2. Mixing of solids , 2000 .

[13]  Ng Niels Deen,et al.  Review of discrete particle modeling of fluidized beds , 2007 .

[14]  M. Olazar,et al.  Influence of Boundary Conditions on CFD Simulation of Gas- particle Hydrodynamics in a Conical Fluidized Bed Unit , 2009 .

[15]  W. M. Gao,et al.  Computational simulation of gas flow and heat transfer near an immersed object in fluidized beds , 2007, Adv. Eng. Softw..

[16]  Prabhu R. Nott,et al.  Frictional–collisional equations of motion for participate flows and their application to chutes , 1990, Journal of Fluid Mechanics.

[17]  Yang Wang,et al.  Simulation and experimental studies on fluidization properties in a pressurized jetting fluidized bed , 2008 .

[18]  F. Taghipour,et al.  Experimental and computational study of gas¿solid fluidized bed hydrodynamics , 2005 .

[19]  A. Schmidt,et al.  Numerical prediction of heat transfer between a bubbling fluidized bed and an immersed tube bundle , 2004 .

[20]  D. Gidaspow Multiphase Flow and Fluidization: Continuum and Kinetic Theory Descriptions , 1994 .

[21]  D. Gidaspow,et al.  A bubbling fluidization model using kinetic theory of granular flow , 1990 .

[22]  John G. Yates,et al.  Prediction of bubble size in a fluidized bed containing horizontal tubes , 1990 .

[23]  Jam Hans Kuipers,et al.  Critical comparison of hydrodynamic models for gas-solid fluidized beds - Part I: bubbling gas-solid fludized beds operated with a jet , 2005 .

[24]  O. Levenspiel,et al.  Fluidization engineering, 2nd edition , 1991 .

[25]  Todd Pugsley,et al.  Simulation and experimental validation of a freely bubbling bed of FCC catalyst , 2003 .

[26]  S. Benyahia Validation Study of Two Continuum Granular Frictional Flow Theories , 2008 .

[27]  He Yurong,et al.  Hydrodynamics of gas-solid flow around immersed tubes in bubbling fluidized beds , 2004 .

[28]  Teklay Weldeabzgi Asegehegn,et al.  Investigation of bubble behavior in fluidized beds with and without immersed horizontal tubes using a digital image analysis technique , 2011 .

[29]  van den Cm Bleek,et al.  Eulerian simulations of bubbling behaviour in gas-solid fluidised beds , 1998 .

[30]  J. Kuipers,et al.  A numerical model of gas-fluidized beds , 1992 .

[31]  T. B. Anderson,et al.  Fluid Mechanical Description of Fluidized Beds. Equations of Motion , 1967 .

[32]  N. Ellis,et al.  CFD simulation of gas–solid bubbling fluidized bed: A new method for adjusting drag law , 2009 .

[33]  C. Wen Mechanics of Fluidization , 1966 .

[34]  Rajamani Krishna,et al.  Rise velocity of single circular-cap bubbles in two-dimensional beds of powders and liquids , 2000 .

[35]  D. Jeffrey,et al.  Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield , 1984, Journal of Fluid Mechanics.

[36]  Ratan Mohan,et al.  Numerical Study of the Influence of Horizontal Tube Banks on the Hydrodynamics of a Dense Gas-Solid Bubbling Fluidized Bed , 2003 .

[37]  Rajamani Krishna,et al.  Comparative analysis of CFD models of dense gas–solid systems , 2001 .

[38]  W. Goldsmith,et al.  Impact: the theory and physical behaviour of colliding solids. , 1960 .

[39]  Goodarz Ahmadi,et al.  An equation of state for dense rigid sphere gases , 1986 .

[40]  Pradeep K. Agarwal,et al.  Influence of horizontal tube banks on the behavior of bubbling fluidized beds: 1. Bubble hydrodynamics , 1999 .

[41]  Ulrich Renz,et al.  Eulerian simulation of bubble formation at a jet in a two-dimensional fluidized bed , 1997 .

[42]  John R. Grace,et al.  Numerical investigation of gas mixing in gas-solid fluidized beds , 2010 .

[43]  A. Kantzas,et al.  CFD Modeling and Validation of Bubble Properties for a Bubbling Fluidized Bed , 2005 .

[44]  A. Almstedt,et al.  Hydrodynamics and steel tube wastage in a fluidized bed at elevated temperature , 2004 .

[45]  Jam Hans Kuipers,et al.  Critical comparison of hydrodynamic models for gas-solid fluidized beds - Part II: freely bubbling gas-solid fluidized beds , 2005 .

[46]  H. Jakobsen,et al.  Practical validation of the two-fluid model applied to dense gas-solid flows in fluidized beds , 2007 .

[47]  Ng Niels Deen,et al.  Numerical Simulation of Dense Gas-Solid Fluidized Beds: A Multiscale Modeling Strategy , 2008 .

[48]  Rajamani Krishna,et al.  Validation of the Eulerian simulated dynamic behaviour of gas-solid fluidised beds , 1999 .

[49]  Luca Marmo,et al.  A critical comparison of frictional stress models applied to the simulation of bubbling fluidized beds , 2009 .

[50]  A. Almstedt,et al.  Hydrodynamics, erosion and heat transfer in a pressurized fluidized bed: influence of pressure, fluidization velocity, particle size and tube bank geometry , 1997 .

[51]  A. Almstedt,et al.  Hydrodynamics of a pressurized fluidized bed with horizontal tubes : influence of pressure, fluidization velocity and tube-bank geometry , 1995 .

[52]  C.R.E. de Oliveira,et al.  A study of bubbling and slugging fluidised beds using the two-fluid granular temperature model , 2001 .

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

[54]  Robert W. Lyczkowski,et al.  Experimental and CFD Analyses of Bubble Parameters in a Variable-Thickness Fluidized Bed , 2010 .

[55]  Michel Y. Louge,et al.  Measurements of the collision properties of small spheres , 1994 .

[56]  Jam Hans Kuipers,et al.  Computer simulation of the hydrodynamics of a two-dimensional gas-fluidized bed , 1993 .

[57]  Ulrich Renz,et al.  Verification of Eulerian simulation of spontaneous bubble formation in a fluidized bed , 1998 .

[58]  J. G. Yates,et al.  INTERACTION BETWEEN HORIZONTAL TUBES AND GAS BUBBLES IN A FLUIDIZED BED , 1987 .

[59]  R. Jackson,et al.  Gas‐particle flow in a vertical pipe with particle‐particle interactions , 1989 .

[60]  M. Syamlal,et al.  MFIX documentation theory guide , 1993 .

[61]  T. G. Cowling,et al.  The mathematical theory of non-uniform gases , 1939 .

[62]  H. Enwald,et al.  Eulerian two-phase flow theory applied to fluidization , 1996 .

[63]  John R. Grace,et al.  Study of wall boundary condition in numerical simulations of bubbling fluidized beds , 2010 .

[64]  Dimitri Gidaspow,et al.  Computation of flow patterns in circulating fluidized beds , 1990 .

[65]  J. Jenkins,et al.  A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles , 1983, Journal of Fluid Mechanics.

[66]  Teklay Weldeabzgi Asegehegn,et al.  Numerical and Experimental Investigation of Bubbling Gas–Solid Fluidized Beds with Dense Immersed Tube Bundles , 2011 .