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4 - Computational fluid dynamic modeling of spouted beds

Published online by Cambridge University Press:  04 February 2011

Norman Epstein
Affiliation:
University of British Columbia, Vancouver
John R. Grace
Affiliation:
University of British Columbia, Vancouver
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Summary

Introduction

As reviewed in Chapter 3, numerous theoretical and experimental studies have been carried out in recent decades in an attempt to model the hydrodynamics of spouted beds. Most of the early models are one-dimensional, with spout and annulus considered separately by assuming that some parameters are constant. In addition, these models, though useful as first approximations, are complex, or require parameters to be determined by experiments.

Thanks to the explosion of computational power, the advance of numerical algorithms, and deeper understanding of multiphase flow phenomena, computational fluid dynamics (CFD) modeling has become a powerful tool for understanding dense gas–solid two-phase flows in the recent past. The main advantage of CFD modeling is that a wide range of flow properties of the gas and solids may be predicted simultaneously without disturbing the flows.

Currently, there are two main CFD approaches: the Eulerian-Eulerian approach (two-fluid model, TFM), and the Eulerian-Lagrangian (discrete element method, DEM) approach. In the following two sections, the fundamentals and applications of these two approaches in hydrodynamic modeling of spouted beds are treated separately. In each section, the main aspects of the CFD approach are introduced briefly, followed by application to modeling of spouted bed hydrodynamics. Comparison of the CFD predictions with experimental results is also discussed.

Type
Chapter
Information
Spouted and Spout-Fluid Beds
Fundamentals and Applications
, pp. 57 - 81
Publisher: Cambridge University Press
Print publication year: 2010

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References

Gidaspow, D.. Multiphase Flow and Fluidization: Continuum and Kinetic Theory Descriptions (London: Academic Press, 1994).Google Scholar
Krzywanski, R. S., Epstein, N., and Bowen, B. D.. Multi-dimensional model of a spouted bed. Can. J. Chem. Eng., 70 (1992), 858–872.CrossRefGoogle Scholar
He, Y., Zhao, G., Bouillard, J., and Lu, H.. Numerical simulations of the effect of conical dimension on the hydrodynamic behaviour in spouted beds. Can. J. Chem. Eng., 82 (2004), 20–29.Google Scholar
Lu, H., He, Y., Liu, W., Ding, J., Gidaspow, D., and Bouillard, J.. Computer simulations of gas-solid flow in spouted beds using kinetic-frictional stress model of granular flow. Chem. Eng. Sci., 59 (2004), 865–878.Google Scholar
H. Lu, Y. Song, Y. Li, Y. He, , J. Bouillard. Numerical simulations of hydrodynamic behaviour in spouted beds. Chem. Eng. Res. Des., 79 (2001), 593–599.CrossRefGoogle Scholar
Wang, S. Y., He, Y. R., Lu, H. L., Zheng, J. X., Liu, G. D., and Ding, Y. L.. Numerical simulations of flow behaviour of agglomerates of nano-size particles in bubbling and spouted beds with an agglomerate-based approach. Food and Bioprod. Proc., 85 (2007), 231–240.CrossRefGoogle Scholar
Johnson, P. C., Nott, P., and Jackson, R.. Frictional-collisional equations of motion for particulate flows and their application to chutes. J. Fluid Mech., 210 (1990), 501–535.CrossRefGoogle Scholar
Syamlal, M., Rogers, W., and O'Brien, T. J.. MFIX Documentation. US Department of Energy, Federal Energy Technology Center, 1993.
Du, W., Bao, X., Xu, J., and Wei, W.. Computational fluid dynamics (CFD) modeling of spouted bed: Assessment of drag coefficient correlations. Chem. Eng. Sci., 61 (2006), 1401–1420.CrossRefGoogle Scholar
Du, W., Bao, X., Xu, J., and Wei, W.. Computational fluid dynamics (CFD) modeling of spouted bed: Influence of frictional stress, maximum packing limit and coefficient of restitution of particles. Chem. Eng. Sci., 61 (2006), 4558–4570.CrossRefGoogle Scholar
Du, W., Wei, W., Xu, J., Fan, Y., and Bao, X.. Computational fluid dynamics (CFD) modeling of fine particle spouting. Int. J. Chem. React. Eng., 4 (2006), A21.Google Scholar
Wang, Z. G., Bi, H. T., and Lim, C. J.. Numerical simulations of hydrodynamic behaviors in conical spouted beds. China Particuology, 4 (2006), 194–203.CrossRefGoogle Scholar
Shirvanian, P. A., Calo, J. M., and Hradil, G.. Numerical simulation of fluid-particle hydrodynamics in a rectangular spouted vessel. Int. J. Multiph. Flow, 32 (2006), 739–753.CrossRefGoogle Scholar
Wu, Z. H. and Mujumdar, A. S.. CFD modeling of the gas-particle flow behavior in spouted beds. Powder Technol., 183 (2008), 260–272.Google Scholar
Gryczka, O., Heinrich, S., and Tomas, J.. CFD-modelling of the fluid dynamics in spouted beds. In Micro-Macro-Interactions, ed, Bertram, A. and Tomas, J. (Berlin: Springer, 2008), pp. 265–275.CrossRefGoogle Scholar
Schiller, L. and Naumann, A.. A drag coefficient correlation. Verein Deutscher Ingenieure, 77 (1935), 318–320.Google Scholar
Wen, C. Y. and Yu, Y. H.. Mechanics of fluidization. Chem. Eng. Progr. Symp. Ser., 62 (1966), 100–111.Google Scholar
Syamlal, M. and O'Brien, T.. Computer simulation of bubbles in a fluidized bed. AIChE Symp. Ser., 85 (1989), 22–31.Google Scholar
Gidaspow, D., Bezburuah, R., and Ding, J.. Hydrodynamics of circulating fluidized beds: Kinetic theory approach. In Fluidization VII, ed. Potter, O. E. and Nicklin, D. J. (New York: Engineering Foundation, 1991), pp. 75–82.Google Scholar
Koch, D. L. and Hill, R. J.. Inertial effects in suspension and porous-media flows. Ann. Rev. Fluid Mech., 33 (2001), 619–647.CrossRefGoogle Scholar
Hoef, M. A., Beetstra, R., and Kuipers, J. A. M.. Lattice-Boltzmann simulations of low-Reynolds-number flow past mono- and bidisperse arrays of spheres. J. Fluid Mech., 528 (2005), 233–254.CrossRefGoogle Scholar
Beetstra, R., Hoef, M. A., and Kuipers, J. A. M.. Drag force of intermediate Reynolds number flow past mono- and bidisperse arrays of spheres. AIChE J., 53 (2007), 489–501.CrossRefGoogle Scholar
Gryczka, O., Heinrich, S., Deen, N. G., Annaland, M. v. S., Kuipers, J. A. M., and Mörl, L.. CFD modeling of a prismatic spouted bed with two adjustable gas inlets. Can. J. Chem. Eng., 87 (2009), 318–328.CrossRefGoogle Scholar
Béttega, R., Corrêa, R. G., and Freire, J. T.. Scale-up study of spouted beds using computational fluid dynamics. Can. J. Chem. Eng., 87 (2009), 193–203.CrossRefGoogle Scholar
Béttega, R., Almeida, A. R. F., Corrêa, R. G., and Freire, J. T.. CFD modelling of a semi-cylindrical spouted bed: Numerical simulation and experimental verification. Can. J. Chem. Eng., 87 (2009), 177–184.CrossRefGoogle Scholar
He, Y. L., Lim, C. J., and Grace, J. R.. Scale-up studies of spouted beds. Chem. Eng. Sci., 52 (1997), 329–339.CrossRefGoogle Scholar
Santos, K. G., Murata, V. V., and Barrozo, M. A. S.. Three-dimensional computational fluid dynamics modelling of spouted bed. Can. J. Chem. Eng., 87 (2009), 211–219.CrossRefGoogle Scholar
Duarte, C. R., Olazar, M., Murata, V. V., and Barrozo, M. A. S.. Numerical simulation and experimental study of fluid-particle flows in a spouted bed. Powder Technol., 188 (2009), 195–205.CrossRefGoogle Scholar
Ding, J. and Gidaspow, D.. A bubbling fluidization model using kinetic theory of granular flow. AIChE J., 36 (1990), 523–538.CrossRefGoogle Scholar
Ergun, S.. Fluid flow through packed columns. Chem. Eng. Progr., 48:2 (1952), 89–94.Google Scholar
Campbell, C. S.. Granular material flows – an overview. Powder Technol., 162 (2006), 208–229.CrossRefGoogle Scholar
Sundaresan, S.. Some outstanding questions in handling of cohesionless particles. Powder Technol., 115 (2001), 2–7.CrossRefGoogle Scholar
Lun, C. K. K., Savage, S. B., Jeffrey, D. J., and Chepurniy, N.. Kinetic theories for granular flow: Inelastic particles in Couette flow and slightly inelastic particles in a general flow field. J. Fluid Mech., 140 (1984), 223–256.CrossRefGoogle Scholar
Bagnold, R. A.. Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear. Proc. Royal Soc. London Ser. A, Math. and Phys. Sci., A225 (1954), 49–63.CrossRefGoogle Scholar
Jenkins, J. T. and Savage, S. B.. A theory for rapid flow of identical, smooth, nearly elastic spherical particles. J. Fluid Mech., 130 (1983), 187–202.CrossRefGoogle Scholar
Schaeffer, D. G.. Instability in the evolution equations describing incompressible granular flow. J. Diff. Eqns, 66 (1987), 19–50.CrossRefGoogle Scholar
Ferziger, J. H. and Peric, M.. Computational Methods for Fluid Dynamics, 3rd ed. (Berlin: Springer, 1999).CrossRefGoogle Scholar
Fletcher, C. A. J. and Srinivas, K.. Computational Techniques for Fluid Dynamics Vol. 1, Fundamental and General Techniques, 2nd ed. (Berlin: Springer-Verlag, 1991).Google Scholar
Freitas, C. J.. Perspective, : Selected benchmarks from commercial CFD codes. ASME J. Fluids Eng., 117 (1995), 208–218.CrossRefGoogle Scholar
LeVeque, R. J.. Finite Volume Methods for Hyperbolic Problems (Cambridge, UK: Cambridge University Press, 2002).
Patankar, S. V.. Numerical Heat Transfer and Fluid Flow (Washington, DC: Taylor and Francis, 1980).Google Scholar
Grace, J. R. and Taghipour, F.. Verification and validation of CFD models and dynamic similarity for fluidized beds. Powder Technol., 139 (2004), 99–110.CrossRefGoogle Scholar
He, Y. L., Lim, C. J., Grace, J. R., Zhu, J. X., and Qin, S. Z.. Measurements of voidage profiles in spouted beds. Can. J. Chem. Eng., 72 (1994), 229–234.CrossRefGoogle Scholar
He, Y. L., Qin, S. Z., Lim, C. J., and Grace, J. R.. Particle velocity profiles and solid flow patterns in spouted beds. Can. J. Chem. Eng., 72 (1994), 561–568.CrossRefGoogle Scholar
José, M. J. San, Olazar, M., Alvarez, S., Izquierdo, M. A., and Bilbao, J.. Solid cross-flow into the spout and particle trajectories in conical spouted beds. Chem. Eng. Sci., 53 (1998), 3561–3570.CrossRefGoogle Scholar
Cundall, P. A. and Strack, O. D. L.. A discrete numerical model for granular assemblies. Geotechnique, 29 (1979), 47–65.CrossRefGoogle Scholar
Link, J., Zeilstra, C., Deen, N., and Kuipers, H.. Validation of a discrete particle model in a 2D spout-fluid bed using non-intrusive optical measuring techniques. Can. J. Chem. Eng., 82 (2004), 30–36.CrossRefGoogle Scholar
Link, J. M., Cuypers, L. A., Deen, N. G., and Kuipers, J. A. M.. Flow regimes in a spout-fluid bed: A combined experimental and simulation study. Chem. Eng. Sci., 60 (2005), 3425–3442.CrossRefGoogle Scholar
Takeuchi, S., Wang, S., and Rhodes, M.. Discrete element simulation of a flat-bottomed spouted bed in the 3-D cylindrical coordinate system. Chem. Eng. Sci., 59 (2004), 3495–3504.CrossRefGoogle Scholar
Kawaguchi, T., Sakamoto, M., Tanaka, T., and Tsuji, Y.. Quasi-three-dimensional numerical simulation of spouted beds in cylinder. Powder Technol., 109 (2000), 3–12.CrossRefGoogle Scholar
Kawaguchi, T., Tanaka, T., and Tsuji, Y.. Numerical simulation of two-dimensional fluidized beds using the discrete element method. Powder Technol., 96 (1998), 129–138.CrossRefGoogle Scholar
Takeuchi, S., Wang, X. S., and Rhodes, M. J.. Discrete element study of particle circulation in a 3-D spouted bed. Chem. Eng. Sci., 60 (2005), 1267–1276.CrossRefGoogle Scholar
Takeuchi, S., Wang, S., and Rhodes, M.. Discrete element method simulation of three-dimensional conical-base spouted beds. Powder Technol., 184 (2008), 141–150.CrossRefGoogle Scholar
Zhong, W., Xiong, Y., Yuan, Z., and Zhang, M.. DEM simulation of gas-solid flow behaviors in spout-fluid bed. Chem. Eng. Sci., 61 (2006), 1571–1584.CrossRefGoogle Scholar
Zhao, X.-L., Li, S.-Q., Liu, G.-Q., Song, Q., and Yao, Q.. Flow patterns of solids in a two-dimensional spouted bed with draft plates: PIV measurement and DEM simulations. Powder Technol., 183 (2008), 79–87.CrossRefGoogle Scholar
Zhao, X.-L., Li, S.-Q., Liu, G.-Q., Yao, Q., and Marshall, J. S.. DEM simulation of the particle dynamics in two-dimensional spouted beds. Powder Technol., 184 (2008), 205–213.CrossRefGoogle Scholar
Swasdisevi, T., Tanthapanichakoon, W., Charinpanitkul, T., Kawaguchi, T., Tanaka, T., and Tsuji, Y.. Investigation of fluid and coarse-particle dynamics in a two-dimensional spouted bed. Chem. Eng. Technol., 27 (2004), 971–981.CrossRefGoogle Scholar
Kalwar, M. I., Raghavan, G. S., and Mujumdar, A. S.. Circulation of particles in two-dimensional spouted beds with draft plates. Powder Technol., 77 (1993), 233–242.CrossRefGoogle Scholar
Limtrakul, S., Boonsrirat, A., and Vatanatham, T.. DEM modeling and simulation of a catalytic gas-solid fluidized bed reactor: A spouted bed as a case study. Chem. Eng. Sci., 59 (2004), 5225–5231.CrossRefGoogle Scholar
Rovero, G., Epstein, N., Grace, J. R., Piccinini, N., and Brereton, C. M. H.. Gas phase solid-catalysed chemical reaction in spouted beds. Chem. Eng. Sci., 38 (1983), 557–566.CrossRefGoogle Scholar
Brilliantov, N. V. and Poeschel, T.. Rolling friction of a viscous sphere on a hard plane. Europhysics Letters, 42 (1998), 511–516.CrossRefGoogle Scholar
Miller, T. F. and Schmidt, F. W.. Use of a pressure-weighted interpolation method for the solution of the incompressible Navier-Stokes equations on a nonstaggered grid system. Num. Heat Transf., Part B: Fund., 14 (1988), 213–233.Google Scholar
Amsden, A. A. and Harlow, F. H.. A simplified MAC technique for incompressible fluid flow calculations. J. Comp. Phys., 6 (1970), 322–325.CrossRefGoogle Scholar
Mathur, K. B. and Epstein, N.. Spouted Beds (New York: Academic Press, 1974).Google Scholar
Tsuji, T., Hirose, M., Shibata, T., Uemaki, O., and Itoh, H.. Particle flow in annular region of a flat-bottomed spouted bed. Trans. Soc. Chem. Engrs, Japan, 23 (1997), 604–605.Google Scholar
Roy, D., Larachi, F., Legros, R., and Chaouki, J.. A study of solid behavior in spouted beds using 3-D particle tracking. Can. J. Chem. Eng., 72, (1994), 945–952.CrossRefGoogle Scholar

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