Validation of a discrete element model using magnetic resonance measurements

Abstract The discrete element model (DEM) is a very promising modelling strategy for two-phase granular systems. However, owing to a lack of experimental measurements, validation of numerical simulations of two-phase granular systems is still an important issue. In this study, a small two-dimensional gas-fluidized bed was simulated using a discrete element model. The dimensions of the simulated bed were 44 mm × 10 mm × 120 mm and the fluidized particles had a diameter d p  = 1.2 mm and density ρ p  = 1000 kg/m 3 . The comparison between DEM simulations and experiments are performed on the basis of time-averaged voidage maps. The drag-law of Beetstra et al. [Beetstra, R., van der Hoef, M. A., & Kuipers, J. A. M. (2007b). Drag force of intermediate Reynolds number flow past mono- and bidispersed arrays of spheres . AIChE Journal, 53, 489–501] seems to give the best results. The simulations are fairly insensitive to the coefficient of restitution and the coefficient of friction as long as some route of energy dissipation during particle–particle and particle–wall contact is provided. Changing the boundary condition of the gas phase at the side-walls from zero-slip to full-slip does not affect the simulation results. Care is to be taken that the cell sizes are chosen so that a reasonable number of particles can be found in a fluid cell.

[1]  Lynn F. Gladden,et al.  Granular temperature: Comparison of Magnetic Resonance measurements with Discrete Element Model simulations , 2008 .

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

[3]  Lynn F. Gladden,et al.  Spatially resolved measurement of anisotropic granular temperature in gas-fluidized beds , 2008 .

[4]  J. Kuipers,et al.  Drag force of intermediate Reynolds number flow past mono- and bidisperse arrays of spheres , 2007 .

[5]  Lynn F. Gladden,et al.  The nature of the flow just above the perforated plate distributor of a gas-fluidised bed, as imaged using magnetic resonance , 2006 .

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

[7]  I. Goldhirsch,et al.  Clustering instability in dissipative gases. , 1993, Physical review letters.

[8]  Masayuki Horio,et al.  DEM simulation of fluidized beds for gas-phase olefin polymerization , 1999 .

[9]  A J Sederman,et al.  Rapid two-dimensional imaging of bubbles and slugs in a three-dimensional, gas-solid, two-phase flow system using ultrafast magnetic resonance. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  J.A.M. Kuipers,et al.  The effects of particle and gas properties on the fluidization of Geldart A particles , 2005 .

[11]  Jam Hans Kuipers,et al.  Effect of competition between particle-particle and gas-particle interactions on flow patterns in dense gas-fluidized beds , 2007 .

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

[13]  P. Fennell,et al.  Rise velocities of bubbles and slugs in gas-fluidised beds : Ultra-fast magnetic resonance imaging , 2007 .

[14]  J. Kuipers,et al.  Numerical study of segregation using a new drag force correlation for polydisperse systems derived from lattice-Boltzmann simulations , 2007 .

[15]  C. Müller,et al.  A Study of the Motion and Eruption of a Bubble at the Surface of a Two-Dimensional Fluidized Bed Using Particle Image Velocimetry (PIV) , 2007 .

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

[17]  Jam Hans Kuipers,et al.  Flow regimes in a spout-fluid bed : A combined experimental and simulation study , 2005 .

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

[19]  R. D. Felice,et al.  The voidage function for fluid-particle interaction systems , 1994 .

[20]  A J Sederman,et al.  Real-time measurement of bubbling phenomena in a three-dimensional gas-fluidized bed using ultrafast magnetic resonance imaging. , 2006, Physical review letters.

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

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