COMPUTATIONAL FLUID DYNAMICS FOR DENSE GAS-SOLID FLUIDIZED BEDS: A MULTI-SCALE MODELING STRATEGY

Dense gas-particle flows are encountered in a variety of industrially important processes for large scale production of fuels, fertilizers and base chemicals. The scale-up of these processes is often problematic and is related to the intrinsic complexities of these flows which are unfortunately not yet fully understood despite significant efforts made in both academic and industrial research laboratories. In dense gas-particle flows both (effective) fluid-particle and (dissipative) particle-particle interactions need to be accounted for because these phenomena to a large extent govern the prevailing flow phenomena, i.e. the formation and evolution of heterogeneous structures. These structures have significant impact on the quality of the gas-solid contact and as a direct consequence thereof strongly affect the performance of the process. Due to the inherent complexity of dense gas-particles flows, we have adopted a multi-scale modeling approach in which both fluid-particle and particle-particle interactions can be properly accounted for. The idea is essentially that fundamental models, taking into account the relevant details of fluid-particle (lattice Boltzmann model) and particle-particle (discrete particle model) interactions, are used to develop closure laws to feed continuum models which can be used to compute the flow structures on a much larger (industrial) scale. Our multi-scale approach (see Fig.1) involves the lattice Boltzmann model, the discrete particle model, the continuum model based on the kinetic theory of granular flow, and the discrete bubble model. In this paper we give an overview of the multi-scale modeling strategy, accompanied by illustrative computational results for bubble formation. In addition, areas which need substantial further attention will be highlighted.

[1]  Anthony J. C. Ladd,et al.  The first effects of fluid inertia on flows in ordered and random arrays of spheres , 2001, Journal of Fluid Mechanics.

[2]  van Wpm Wim Swaaij,et al.  Computational fluid dynamics applied to gas-liquid contactors. , 1997 .

[3]  V. Swaaij,et al.  Hydrodynamic models of gas-fluidized beds and their role for design and operation of fluidized bed chemical reactors , 1998 .

[4]  J.A.M. Kuipers,et al.  Gas-particle interactions in dense gas-fluidised beds , 2003 .

[5]  Jam Hans Kuipers,et al.  Mixing and segregation in a bidisperse gas-solid fluidized bed: a numerical and experimental study , 2004 .

[6]  T. G. Cowling,et al.  The mathematical theory of non-uniform gases , 1939 .

[7]  A. Ladd,et al.  Moderate-Reynolds-number flows in ordered and random arrays of spheres , 2001, Journal of Fluid Mechanics.

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

[9]  Jam Hans Kuipers,et al.  Hydrodynamic Modeling of Gas/Particle Flows in Riser Reactors , 1996 .

[10]  A. Ladd,et al.  Lattice-Boltzmann Simulations of Particle-Fluid Suspensions , 2001 .

[11]  J. Kuipers,et al.  Comparison of continuum models using the kinetic theory of granular flow with discrete particle models and experiments: extent of particle mixing induced by bubbles , 2004 .

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

[13]  Y. Pomeau,et al.  Lattice-gas automata for the Navier-Stokes equation. , 1986, Physical review letters.

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

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

[16]  J. Kuipers,et al.  A numerical model of gas-fluidized beds , 1992 .

[17]  Jam Hans Kuipers,et al.  Hydrodynamic modelling of dense gas-fluidised beds: Comparison of the kinetic theory of granular flow with 3D hard-sphere discrete particle simulations , 2002 .

[18]  Zanetti,et al.  Use of the Boltzmann equation to simulate lattice gas automata. , 1988, Physical review letters.

[19]  J. Jenkins,et al.  Plane simple shear of smooth inelastic circular disks: the anisotropy of the second moment in the dilute and dense limits , 1988, Journal of Fluid Mechanics.

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

[21]  J.A.M. Kuipers,et al.  Computational fluid dynamics applied to chemical reaction engineering , 1998 .

[22]  Nobusuke Kobayashi,et al.  A study on the behavior of bubbles and solids in bubbling fluidized beds , 2000 .

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

[24]  J. Boon The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .

[25]  J. Kuipers,et al.  Lattice-Boltzmann simulations of low-Reynolds-number flow past mono- and bidisperse arrays of spheres: results for the permeability and drag force , 2005, Journal of Fluid Mechanics.

[26]  Mihail C. Roco,et al.  Particulate two-phase flow , 1993 .