Validation of the CFD-DPM solver DPMFoam in $$\hbox {OpenFOAM}^\circledR $$OpenFOAM® through analytical, numerical and experimental comparisons

Multiphase flows are relevant in several industrial processes mainly because they are present in the production of a large diversity of products. Hence, the availability of accurate numerical modeling tools, able to cope with this type of flows, is of major significance to provide detailed information about the system characteristics, in order to guide the design activity. This study presents a detailed assessment of a multiphase flow solver able to couple Eulerian and Lagrangian phases, the last modeled through the discrete particle method. The numerical code is already implemented in the open source computational fluid dynamics software package $$\hbox {OpenFOAM}^\circledR $$OpenFOAM®. The solver (DPMFoam) is firstly used to simulate the collision between two particles, for which a good correlation was obtained with the theoretical impulse force value. Subsequently, the solver is employed in the simulation of a pseudo 2D gas-solid flow in a fluidized bed. In this case study, the results obtained for the bubble patterns, time-average flow patterns, bed expansion dynamics and particle phase energy analysis are in agreement with the experimental and numerical results available in the literature. In addition, the numerical pressure drop for the fluidized bed is computed and compared with the analytical Ergun’s pressure drop equation. The accuracy of the numerical results was found to be sensitive to the solid fraction estimation.

[1]  Christopher E. Brennen,et al.  Chute Flows of Granular Material: Some Computer Simulations , 1985 .

[2]  H. Wagner,et al.  Hydrodynamic simulations of laboratory scale bubble columns fundamental studies of the Eulerian–Eulerian modelling approach , 1999 .

[3]  H. Hertz Ueber die Berührung fester elastischer Körper. , 1882 .

[4]  Joel H. Ferziger,et al.  Computational methods for fluid dynamics , 1996 .

[5]  D. Wolf,et al.  Force Schemes in Simulations of Granular Materials , 1996 .

[6]  Hrvoje Jasak,et al.  A tensorial approach to computational continuum mechanics using object-oriented techniques , 1998 .

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

[8]  Zhulin Yuan,et al.  Three-dimensional numerical simulation method for gas–solid injector , 2005 .

[9]  M. Goldschmidt,et al.  Hydrodynamic Modelling of Fluidised Bed Spray Granulation , 2001 .

[10]  Aibing Yu,et al.  Numerical simulation of the gas-solid flow in a fluidized bed by combining discrete particle method with computational fluid dynamics , 1997 .

[11]  R. L. Braun,et al.  Stress calculations for assemblies of inelastic speres in uniform shear , 1986 .

[12]  Christopher E. Brennen,et al.  Computer simulation of granular shear flows , 1985, Journal of Fluid Mechanics.

[13]  Christopher E. Brennen,et al.  Fundamentals of Multiphase Flow , 2005 .

[14]  K. Wieghardt Experiments in Granular Flow , 1975 .

[15]  R. L. Braun,et al.  Viscosity, granular‐temperature, and stress calculations for shearing assemblies of inelastic, frictional disks , 1986 .

[16]  M. Adams,et al.  Discrete particle-continuum fluid modelling of gas–solid fluidised beds , 2002 .

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

[18]  Hallvard F. Svendsen,et al.  Modeling of Vertical Bubble-Driven Flows , 1997 .

[19]  S. Ergun,et al.  Fluid Flow through Randomly Packed Columns and Fluidized Beds , 1949 .

[20]  Charles S. Campbell,et al.  Granular shear flows at the elastic limit , 2002, Journal of Fluid Mechanics.

[21]  Martin Rhodes,et al.  Introduction to Particle Technology , 1998 .

[22]  Zhaolin Gu,et al.  Discrete element simulation of particle flow in arbitrarily complex geometries , 2011 .

[23]  A. Gosman,et al.  Solution of the implicitly discretised reacting flow equations by operator-splitting , 1986 .

[24]  Yutaka Tsuji,et al.  Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe , 1992 .

[25]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

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

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

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

[29]  B. Hoomans Granular dynamics of gas-solid two-phase flows , 2000 .

[30]  Christophe Morel Mathematical Modeling of Disperse Two-Phase Flows , 2015 .

[31]  Graham B. Macpherson,et al.  Particle tracking in unstructured, arbitrary polyhedral meshes for use in CFD and molecular dynamics , 2009 .

[32]  A. Yu,et al.  Discrete particle simulation of particulate systems: Theoretical developments , 2007 .

[33]  C. O’Sullivan Particulate Discrete Element Modelling: A Geomechanics Perspective , 2011 .