Comparative analysis of CFD models of dense gas–solid systems

Many gas–solid CFD models have been put forth by academic researchers, government laboratories, and commercial vendors. These models often differ in terms of both the form of the governing equations and the closure relations, resulting in much confusion in the literature. These various forms in the literature and in commercial codes are reviewed and the resulting hydrodynamics through CFD simulations of fluidized beds compared. Experimental data on fluidized beds of Hilligardt and Werther (1986), Kehoe and Davidson (1971), Darton et al.(1977), and Kuipers (1990) are used to quantitatively assess the various treatments. Predictions based on the commonly used governing equations of Ishii (1975) do not differ from those of Anderson and Jackson (1967) in terms of macroscopic flow behavior, but differ on a local scale. Flow predictions are not sensitive to the use of different solid stress models or radial distribution functions, as different approaches are very similar in dense flow regimes. The application of a different drag model, however, significantly impacts the flow of the solids phase. A simplified algebraic granular energy-balance equation is proposed for determining the granular temperature, instead of solving the full granular energy balance. This simplification does not lead to significantly different results, but it does reduce the computational effort of the simulations by about 20%.

[1]  A viscoelastic model for dense granular flows , 1997 .

[2]  David G. Schaeffer,et al.  Instability in the evolution equations describing incompressible granular flow , 1987 .

[3]  M. Syamlal,et al.  MFIX documentation theory guide , 1993 .

[4]  Prabhu R. Nott,et al.  Frictional–collisional equations of motion for participate flows and their application to chutes , 1990, Journal of Fluid Mechanics.

[5]  Dimitri Gidaspow,et al.  Equation of state and radial distribution functions of FCC particles in a CFB , 1998 .

[6]  K. E. Starling,et al.  Equation of State for Nonattracting Rigid Spheres , 1969 .

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

[8]  D. L. Pyle,et al.  The rising velocity of bubbles in two-dimensional fluidised beds , 1967 .

[9]  Rajamani Krishna,et al.  Validation of the Eulerian simulated dynamic behaviour of gas-solid fluidised beds , 1999 .

[10]  J. Jenkins Boundary Conditions for Rapid Granular Flow: Flat, Frictional Walls , 1992 .

[11]  Ali Nadim,et al.  The Motion of Small Particles and Droplets in Quadratic Flows , 1991 .

[12]  Sankaran Sundaresan,et al.  Gas-particle flow in a duct of arbitrary inclination with particle-particle interactions , 1993 .

[13]  Donald L. Koch,et al.  Kinetic theory for a monodisperse gas–solid suspension , 1990 .

[14]  O. Molerus,et al.  The local structure of gas fluidized beds —I. A statistically based measuring system , 1973 .

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

[16]  R. Jackson,et al.  Gas‐particle flow in a vertical pipe with particle‐particle interactions , 1989 .

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

[18]  Michel Y. Louge,et al.  The role of particle collisions in pneumatic transport , 1989, Journal of Fluid Mechanics.

[19]  Mamoru Ishii,et al.  Two-fluid model and hydrodynamic constitutive relations , 1984 .

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

[21]  Donald L. Koch,et al.  Simple shear flows of dense gas-solid suspensions at finite Stokes numbers , 1996, Journal of Fluid Mechanics.

[22]  R. Jackson,et al.  Frictional–collisional constitutive relations for granular materials, with application to plane shearing , 1987, Journal of Fluid Mechanics.

[23]  John Garside,et al.  Velocity-Voidage Relationships for Fluidization and Sedimentation in Solid-Liquid Systems , 1977 .

[24]  D. Koch,et al.  Particle pressure and marginal stability limits for a homogeneous monodisperse gas-fluidized bed: kinetic theory and numerical simulations , 1999, Journal of Fluid Mechanics.

[25]  R. Jackson,et al.  Locally averaged equations of motion for a mixture of identical spherical particles and a Newtonian fluid , 1997 .

[26]  S. Savage,et al.  The effects of an impact velocity dependent coefficient of restitution on stresses developed by sheared granular materials , 1986 .

[27]  B. Alder,et al.  Studies in Molecular Dynamics. II. Behavior of a Small Number of Elastic Spheres , 1960 .

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

[29]  Christine M. Hrenya,et al.  Effects of particle‐phase turbulence in gas‐solid flows , 1997 .

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

[31]  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.

[32]  van den Cm Bleek,et al.  Eulerian simulations of bubbling behaviour in gas-solid fluidised beds , 1998 .