SPH method for two-fluid modeling of particle–fluid fluidization

In this paper a smoothed particle hydrodynamics (SPH) method is proposed for solving the two-fluid model of dense particle–fluid fluidizations. The particle–fluid two-phase flow fields are represented with two types of SPH particles, where the interactions between particles of the same type constitute the inner-phase stress while those between particles of different types result in the drag force. Two typical fluidization systems, namely the liquid–solid sedimentation and single-orifice gas–solid bubbling fluidization, are simulated with this approach, showing good agreement with experimental data.

[1]  T. Traudt Lattice Boltzmann Simulation , 2012 .

[2]  P. N. Rowe,et al.  A Convenient Empirical Equation for Estimation of the Richardson-Zaki Exponent , 1987 .

[3]  Anthony N. Burkitt,et al.  Computer-Simulation Methods , 1990 .

[4]  C. W. Gear,et al.  Numerical initial value problem~ in ordinary differential eqttations , 1971 .

[5]  W.P.M. van Swaaij,et al.  Hydrodynamic modelling of gas-solid two-phase flows , 1995 .

[6]  Wei Ge,et al.  High-resolution simulation of gas¿solid suspension using macro-scale particle methods , 2006 .

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

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

[9]  Melany L. Hunt,et al.  Liquid–solid flows using smoothed particle hydrodynamics and the discrete element method , 2001 .

[10]  Jinfu Wang,et al.  Two-fluid model based on the lattice Boltzmann equation. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  S. Koshizuka,et al.  Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid , 1996 .

[12]  Krishnan Mahesh,et al.  Direct numerical simulation , 1998 .

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

[14]  Wei Ge,et al.  CFD simulation of concurrent-up gas-solid flow in circulating fluidized beds with structure-dependent drag coefficient , 2003 .

[15]  D. Gidaspow,et al.  HYDRODYNAMICS OF FLUIDIZATION: EXPERIMENTAL AND THEORETICAL BUBBLE SIZES IN A TWO-DIMENSIONAL BED WITH A JET , 1983 .

[16]  Jinghai Li,et al.  Multi-scale HPC system for multi-scale discrete simulation—Development and application of a supercomputer with 1 Petaflops peak performance in single precision , 2009 .

[17]  Wei Ge,et al.  Direct numerical simulation of sub-grid structures in gas―solid flow: GPU implementation of macro-scale pseudo-particle modeling , 2010 .

[18]  Dimitri Gidaspow,et al.  Hydrodynamics of Fiuidizatlon and Heat Transfer: Supercomputer Modeling , 1986 .

[19]  Dimitri Gidaspow,et al.  Computation of circulating fluidized-bed riser flow for the Fluidization VIII benchmark test , 1999 .

[20]  J. Monaghan Smoothed particle hydrodynamics , 2005 .

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

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

[23]  J. Morris,et al.  Modeling Low Reynolds Number Incompressible Flows Using SPH , 1997 .

[24]  J. Monaghan,et al.  Implicit SPH Drag and Dusty Gas Dynamics , 1997 .

[25]  S. Sundaresan,et al.  Lattice Boltzmann Simulation of Two-Fluid Model Equations , 2008 .

[26]  Wei Ge,et al.  Macro-scale pseudo-particle modeling for particle-fluid systems , 2001 .

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

[28]  Wei Ge,et al.  Direct numerical simulation of particle clustering in gas-solid flow with a macro-scale particle method , 2009 .

[29]  J. Monaghan,et al.  SPH simulation of multi-phase flow , 1995 .

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

[31]  Guirong Liu,et al.  Smoothed Particle Hydrodynamics: A Meshfree Particle Method , 2003 .

[32]  W. C. Swope,et al.  A computer simulation method for the calculation of equilibrium constants for the formation of physi , 1981 .

[33]  Jinghai Li,et al.  Particle-motion-resolved discrete model for simulating gas–solid fluidization , 1999 .