Control volume finite element modelling of segregation of sand and granular flows in fluidized beds

This paper presents a computational methodology for the two and three dimensional numerical simulation of dense and dilute dispersed particles in multiphase gas–solid and liquid–solid flows. The model equations are based on the two fluids approximation, with closure terms for the fluid–solid drag interaction forces and the additional dense collisional terms arising from particle–particle interactions under the kinetic theory. These equations are discretized and solved using a novel unstructured mesh control volume-finite element framework, with an anisotropic mesh adaptivity capability. The methodology is applied to study the transport of sand particles of various sizes in fluidized beds, as well as particle segregation in a polydisperse system containing three solid particle sizes.

[1]  Derek Geldart,et al.  Dense phase conveying of fine coal at high total pressures , 1990 .

[2]  Seiichi Koshizuka,et al.  Large‐scale discrete element modeling in a fluidized bed , 2010 .

[3]  Francesco Paolo Di Maio,et al.  DEM simulation of the mixing equilibrium in fluidized beds of two solids differing in density , 2008 .

[4]  F. Maio,et al.  A semi-empirical model for the drag force and fluid-particle interaction in polydisperse suspensions , 2010 .

[5]  C.R.E. de Oliveira,et al.  A numerical investigation of bubbling gas–solid fluidized bed dynamics in 2-D geometries , 2002 .

[6]  A Delebarre,et al.  Revisiting the Wen and Yu Equations for Minimum Fluidization Velocity Prediction , 2004 .

[7]  Christopher C. Pain,et al.  A control volume finite element method for adaptive mesh simulation of flow in heap leaching , 2014 .

[8]  Wei Ge,et al.  SPH method for two-fluid modeling of particle–fluid fluidization , 2011 .

[9]  Jinghai Li,et al.  A review of multiscale CFD for gas-solid CFB modeling , 2010 .

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

[11]  Giuseppe Olivieri,et al.  CFD simulation of bubbling fluidized bidisperse mixtures: Effect of integration methods and restitution coefficient , 2013 .

[12]  Syamlal.  The particle-particle drag term in a multiparticle model of fluidization , 1987 .

[13]  Ng Niels Deen,et al.  Simulation of particle mixing and segregation in bidisperse gas fluidized beds , 2014 .

[14]  Matthew D. Piggott,et al.  The impact of mesh adaptivity on the gravity current front speed in a two-dimensional lock-exchange , 2011 .

[15]  R. S. Douek,et al.  Instability phenomenon in an external‐loop three‐phase gas‐liquid airlift reactor , 1995 .

[16]  Rüdiger Verfürth,et al.  A posteriori error estimation and adaptive mesh-refinement techniques , 1994 .

[17]  Hilary Weller,et al.  Predicting mesh density for adaptive modelling of the global atmosphere , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[18]  S. Tenneti,et al.  Drag law for monodisperse gas–solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres , 2011 .

[19]  Madhava Syamlal,et al.  Extension of Hill–Koch–Ladd drag correlation over all ranges of Reynolds number and solids volume fraction , 2006 .

[20]  D. Geldart.  Types of gas fluidization , 1973 .

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

[22]  Aibing Yu,et al.  Effect of Bed Thickness on the Segregation Behavior of Particle Mixtures in a Gas Fluidized Bed , 2010 .

[23]  Runyu Yang,et al.  Discrete particle simulation of particulate systems: A review of major applications and findings , 2008 .

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

[25]  Jam Hans Kuipers,et al.  Development of a multi-fluid model for poly-disperse dense gas–solid fluidised beds, Part II: Segregation in binary particle mixtures , 2009 .

[26]  Xiaolong Yin,et al.  Fluid‐particle drag in low‐Reynolds‐number polydisperse gas–solid suspensions , 2009 .

[27]  C.R.E. de Oliveira,et al.  Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations , 2001 .

[28]  A. Neri,et al.  Riser hydrodynamics: Simulation using kinetic theory , 2000 .

[29]  Fernando J. Muzzio,et al.  Quantitative characterization of mixing processes in rotary calciners , 2002 .

[30]  Wen-ching Yang.  Handbook of Fluidization and Fluid-Particle Systems , 2003 .

[31]  C. Wen,et al.  A generalized method for predicting the minimum fluidization velocity , 1966 .

[32]  Stefan Luding,et al.  Towards dense, realistic granular media in 2D , 2009 .

[33]  Dimitrios Pavlidis,et al.  Two- and three-phase horizontal slug flow simulations using an interface-capturing compositional approach , 2014 .

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

[35]  M. Piggott,et al.  Multiphase flow modelling of volcanic ash particle settling in water using adaptive unstructured meshes , 2013 .

[36]  S. Ergun.  Fluid flow through packed columns , 1952 .

[37]  Dvora Barnea,et al.  Flow of solid-liquid mixtures in inclined pipes , 1997 .

[38]  James R. Percival,et al.  Verification and validation of a coarse grain model of the DEM in a bubbling fluidized bed , 2014 .

[39]  Kenneth Morgan,et al.  Unstructured mesh generation including directional refinement for aerodynamic flow simulation , 1997 .

[40]  Stefan Heinrich,et al.  Multiscale Simulation of the Fluidized Bed Granulation Process , 2012 .

[41]  Matthew D. Piggott,et al.  Conservative interpolation between unstructured meshes via supermesh construction , 2009 .

[42]  Christopher C. Pain,et al.  Study on a large-scale discrete element model for fine particles in a fluidized bed , 2012 .

[43]  A. Goddard,et al.  A Numerical Investigation of Heat Transfer Mechanisms in Gas-Solid Fluidized Beds Using the Two-Fluid Granular Temperature Model , 2007 .