Coupling of smoothed particle hydrodynamics and finite volume method for two-dimensional spouted beds

Abstract A coupled method with smoothed particle hydrodynamics (SPH) and finite volume method (FVM) is proposed in this work for the simulation of the particle dynamics in two-dimensional spouted beds. Based on the pseudo-fluid model, SPH is used for discrete phase to trace the movement of each individual particle and FVM for continue phase to compute the turbulent fluid. Two phases are coupled through effects of drag force, gas pressure and volume fraction of each phase. A two-dimensional tapered-based spouted bed is chosen as a case study to demonstrate the performance of the SPH–FVM coupled algorithm. The simulation results show a good agreement with the experimental data and other simulation results by the two-fluid model and discrete element method in the literature. The spouted shape, time-averaged particle velocities and particle vertical velocities in the spout are analyzed and the distribution of gas flow field and turbulent kinetic energy are then discussed. It indicates that the present method is more suitable to study the fluidization within the spouted beds.

[1]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[2]  He Yurong,et al.  Numerical simulations of flow behavior of gas and particles in spouted beds using frictional-kinetic stresses model , 2009 .

[3]  Xuanhui Qu,et al.  Effect of multiple impacts on high velocity pressed iron powder , 2009 .

[4]  Hugo S. Caram,et al.  Solid flow in the annular region of a spouted bed , 1989 .

[5]  Masao Sakamoto,et al.  Quasi-three-dimensional numerical simulation of spouted beds in cylinder , 2000 .

[6]  Javier Bilbao,et al.  Local porosity in conical spouted beds consisting of solids of varying density , 2005 .

[7]  Faïçal Larachi,et al.  A study of solid behavior in spouted beds using 3‐D particle tracking , 1994 .

[8]  Shintaro Takeuchi,et al.  Discrete element simulation of a flat-bottomed spouted bed in the 3-D cylindrical coordinate system , 2004 .

[9]  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.

[10]  Xiaojun Bao,et al.  Computational fluid dynamics (CFD) modeling of spouted bed: Influence of frictional stress, maximum packing limit and coefficient of restitution of particles , 2006 .

[11]  L. Libersky,et al.  Smoothed Particle Hydrodynamics: Some recent improvements and applications , 1996 .

[12]  Shintaro Takeuchi,et al.  Discrete element study of particle circulation in a 3-D spouted bed , 2005 .

[13]  Faïçal Larachi,et al.  Investigation of the mean and turbulent particle velocity fields in a spouted bed using radioactive particle tracking , 1998 .

[14]  Xiaojun Bao,et al.  Computational fluid dynamics (CFD) modeling of spouted bed: Assessment of drag coefficient correlations , 2006 .

[15]  He Yurong,et al.  Numerical Simulations of Hydrodynamic Behaviour in Spouted Beds , 2001 .

[16]  John R. Grace,et al.  Measurements of voidage profiles in spouted beds , 1994 .

[17]  L. Lucy A numerical approach to the testing of the fission hypothesis. , 1977 .

[18]  D. Gidaspow,et al.  Hydrodynamics of circulating fluidized beds: Kinetic theory approach , 1991 .

[19]  Javier Bilbao,et al.  Solid cross-flow into the spout and particle trajectories in conical spouted beds , 1998 .

[20]  Martin Olazar,et al.  Numerical simulation and experimental study of fluid–particle flows in a spouted bed , 2009 .

[21]  K. B. Mathur,et al.  A technique for contacting gases with coarse solid particles , 1955 .

[22]  Q. Yao,et al.  Effects of Draft Tubes on Particle Velocity Profiles in Spouted Beds , 2006 .

[23]  Tawatchai Charinpanitkul,et al.  Investigation of Fluid and Coarse‐Particle Dynamics in a Two‐Dimensional Spouted Bed , 2004 .

[24]  Wing Kam Liu,et al.  Meshfree and particle methods and their applications , 2002 .

[25]  He Yurong,et al.  Computer simulations of gas–solid flow in spouted beds using kinetic–frictional stress model of granular flow , 2004 .

[26]  Norman Epstein,et al.  Multi‐dimensional model of a spouted bed , 1992 .

[27]  Qiang Yao,et al.  Experimental studies of particle flow dynamics in a two-dimensional spouted bed , 2008 .

[28]  Faïçal Larachi,et al.  Mixing and circulation of solids in spouted beds: particle tracking and Monte Carlo emulation of the gross flow pattern , 2003 .

[29]  J. Marshall,et al.  DEM simulation of the particle dynamics in two-dimensional spouted beds , 2008 .