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Dense versus dilute fluidization of cohesive particles: Reverse sensitivity to friction and restitution coefficient
Phys. Rev. Fluids 2, 054302 – Published 31 May, 2017
DOI: https://doi.org/10.1103/PhysRevFluids.2.054302
Abstract
Numerical simulations based on DEM-CFD were conducted to study the behavior of gas-solid flows of cohesive particles under various values of particle friction and restitution coefficient, which dictate the energy dissipation in the tangential and normal directions of particle relative motion. Fluidized beds and riser flows were selected as typical systems for dense and dilute flows, respectively. Based on the defluidization curves and agglomerate properties in respective systems, a reverse dependence on friction and restitution coefficient was identified: defluidization curves were dominated by friction while agglomerates in riser flow were governed by the restitution coefficient. The reverse sensitivity is ascribed to the difference in particle interactions for the two systems. In the fluidized bed, particles primarily interact via enduring multiple-particle contacts, in which the dynamics in the tangential directions dominates. In riser flows, the instantaneous binary collisions are more common and the relative motion of particles in the normal direction becomes important. A nonmonotonic response of defluidization curves to varying sliding friction was observed, which is explained by the competing effects of increased sliding and enhanced spin of particles on bed porosity. This study highlights the importance of correct experimental measurement of solid properties for numerical simulations. The results are also useful for driving the development of continuum modeling of gas-solid flows of cohesive particles.
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References (99)
- D. Kunii and O. Levenspiel, Fluidization Engineering (Butterworth-Heinemann, Boston, 1991).
- L.-S. Fan and C. Zhu, Principles of Gas-Solid Flows (Cambridge University Press, Cambridge, 1998).
- S. Tenneti and S. Subramaniam, Particle-resolved direct numerical simulation for gas-solid flow model development, Annu. Rev. Fluid Mech. 46, 199 (2014).
- M. A. van der Hoef, M. V. Annaland, N. G. Deen, and J. A. M. Kuipers, Numerical simulation of dense gas-solid fluidized beds: A multiscale modeling strategy, Annu. Rev. Fluid Mech. 40, 47 (2008).
- T. W. Li, J. F. Dietiker, and L. Shadle, Comparison of full-loop and riser-only simulations for a pilot-scale circulating fluidized bed riser, Chem. Eng. Sci. 120, 10 (2014).
- H. T. Bi, N. Ellis, I. A. Abba, and J. R. Grace, A state-of-the-art review of gas-solid turbulent fluidization, Chem. Eng. Sci. 55, 4789 (2000).
- J. W. Chew, D. M. Parker, and C. M. Hrenya, Elutriation and species segregation characteristics of polydisperse mixtures of group B particles in a dilute CFB riser, AIChE J. 59, 84 (2013).
- S. C. Tsinontides and R. Jackson, The mechanics of gas fluidized beds with an interval of stable fluidization, J. Fluid Mech. 255, 237 (1993).
- M. J. Rhodes, X. S. Wang, M. Nguyen, P. Stewart, and K. Liffman, Use of discrete element method simulation in studying fluidization characteristics: Influence of interparticle force, Chem. Eng. Sci. 56, 69 (2001).
- F. Yang, C. Thornton, and J. Seville, Effect of surface energy on the transition from fixed to bubbling gas-fluidised beds, Chem. Eng. Sci. 90, 119 (2013).
- O. Oke, P. Lettieri, and L. Mazzei, An investigation on the mechanics of homogeneous expansion in gas-fluidized beds, Chem. Eng. Sci. 127, 95 (2015).
- M. Ye, M. A. van der Hoef, and J. A. M. Kuipers, The effects of particle and gas properties on the fluidization of Geldart A particles, Chem. Eng. Sci. 60, 4567 (2005).
- M. W. Weber and C. M. Hrenya, Computational study of pressure-drop hysteresis in fluidized beds, Powder Technol. 177, 170 (2007).
- T. Mikami, H. Kamiya, and M. Horio, Numerical simulation of cohesive powder behavior in a fluidized bed, Chem. Eng. Sci. 53, 1927 (1998).
- T. Kobayashi, T. Tanaka, N. Shimada, and T. Kawaguchi, DEM-CFD analysis of fluidization behavior of Geldart Group A particles using a dynamic adhesion force model, Powder Technol. 248, 143 (2013).
- M. H. Zhang, K. W. Chu, F. Wei, and A. B. Yu, A CFD-DEM study of the cluster behavior in riser and downer reactors, Powder Technol 184, 151 (2008).
- M. Wang, W. B. Zhu, Q. Q. Sun, and X. B. Zhang, A DEM simulation of dry and wet particle flow behaviors in riser, Powder Technol. 267, 221 (2014).
- M. Girardi, S. Radl, and S. Sundaresan, Simulating wet gas—solid fluidized beds using coarse-grid CFD-DEM, Chem. Eng. Sci. 144, 224 (2016).
- C. Mangwandi, Y. S. Cheong, M. J. Adams, M. J. Hounslow, and A. D. Salman, The coefficient of restitution of different representative types of granules, Chem. Eng. Sci. 62, 437 (2007).
- M. J. V. Goldschmidt, J. A. M. Kuipers, and W. P. M. van Swaaij, Hydrodynamic modelling of dense gas-fluidised beds using the kinetic theory of granular flow: Effect of coefficient of restitution on bed dynamics, Chem. Eng. Sci. 56, 571 (2001).
- N. Reuge, L. Cadoret, C. Coufort-Saudejaud, S. Pannala, M. Syamlal, and B. Caussat, Multifluid Eulerian modeling of dense gas-solids fluidized bed hydrodynamics: Influence of the dissipation parameters, Chem. Eng. Sci. 63, 5540 (2008).
- M. S. van Buijtenen, N. G. Deen, S. Heinrich, S. Antonyuk, and J. A. M. Kuipers, Discrete particle simulation study on the influence of the restitution coefficient on spout fluidized-bed dynamics, Chem. Eng. Technol. 32, 454 (2009).
- B. P. B. Hoomans, J. A. M. Kuipers, W. J. Briels, and W. P. M. van Swaaij, Discrete particle simulation of bubble and slug formation in a two-dimensional gas-fluidised bed: A hard-sphere approach, Chem. Eng. Sci. 51, 99 (1996).
- J. Li and J. A. M. Kuipers, Effect of competition between particle-particle and gas-particle interactions on flow patterns in dense gas-fluidized beds, Chem. Eng. Sci. 62, 3429 (2007).
- I. Goldhirsch and G. Zanetti, Clustering Instability in Dissipative Gases, Phys. Rev. Lett. 70, 1619 (1993).
- Y. F. Wang, Z. X. Chao, and H. A. Jakobsen, A sensitivity study of the two-fluid model closure parameters determining the main gas-solid flow pattern characteristics, Ind. Eng. Chem. Res. 49, 3433 (2010).
- F. Gollwitzer, I. Rehberg, C. A. Kruelle, and K. Huang, Coefficient of restitution for wet particles, Phys. Rev. E 86, 011303 (2012).
- Q. F. Hou, Z. Y. Zhou, and A. B. Yu, Micromechanical modeling and analysis of different flow regimes in gas fluidization, Chem. Eng. Sci. 84, 449 (2012).
- J. E. Galvin and S. Benyahia, The effect of cohesive forces on the fluidization of aeratable powders, AIChE J. 60, 473 (2014).
- R. Wilson, D. Dini, and B. van Wachem, A numerical study exploring the effect of particle properties on the fluidization of adhesive particles, AIChE J. 62, 1467 (2016).
- M. Ye, M. A. van der Hoef, and J. A. M. Kuipers, A numerical study of fluidization behavior of Geldart A particles using a discrete particle model, Powder Technol. 139, 129 (2004).
- J. K. Pandit, X. S. Wang, and M. J. Rhodes, On Geldart Group A behaviour in fluidized beds with and without cohesive interparticle forces: A DEM study, Powder Technol. 164, 130 (2006).
- J. R. Royer, D. J. Evans, L. Oyarte, Q. Guo, E. Kapit, M. E. Mobius, S. R. Waitukaitis, and H. M. Jaeger, High-speed tracking of rupture and clustering in freely falling granular streams, Nature (London) 459, 1110 (2009).
- P. Liu, C. Q. LaMarche, K. M. Kellogg, and C. M. Hrenya, Fine-particle defluidization: Interaction between cohesion, Youngs modulus and static bed height, Chem. Eng. Sci. 145, 266 (2016).
- J. T. Jenkins and M. W. Richman, Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks, Phys. Fluids 28, 3485 (1985).
- H. Kim and H. Arastoopour, Extension of kinetic theory to cohesive particle flow, Powder Technol. 122, 83 (2002).
- R. Fan, D. L. Marchisio, and R. O. Fox, Application of the direct quadrature method of moments to polydisperse gas-solid fluidized beds, Powder Technol. 139, 7 (2004).
- P. Jop, Y. Forterre, and O. Pouliquen, A constitutive law for dense granular flows, Nature (London) 441, 727 (2006).
- B. van Wachem and S. Sasic, Derivation, simulation and validation of a cohesive particle flow CFD model, AIChE J. 54, 9 (2008).
- S. Chialvo and S. Sundaresan, A modified kinetic theory for frictional granular flows in dense and dilute regimes, Phys. Fluids 25, 070603 (2013).
- A. H. A. Motlagh, J. R. Grace, M. Salcudean, and C. M. Hrenya, New structure-based model for Eulerian simulation of hydrodynamics in gas-solid fluidized beds of Geldart group “A” particles, Chem. Eng. Sci. 120, 22 (2014).
- F. P. Beer and E. R. Johnston, Mechanics for Engineers: Statics and Dynamics (McGraw-Hill, New York, 1976).
- Y. C. Zhou, B. D. Wright, R. Y. Yang, B. H. Xu, and A. B. Yu, Rolling friction in the dynamic simulation of sandpile formation, Physica A 269, 536 (1999).
- Y. Tsuji, T. Tanaka, and T. Ishida, Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe, Powder Technol. 71, 239 (1992).
- D. Antypov and J. A. Elliott, On an analytical solution for the damped Hertzian spring, Europhys. Lett. 94, 50004 (2011).
- C. Q. LaMarche, S. Leadley, P. Liu, K. M. Kellogg, and C. M. Hrenya, Method of quantifying surface roughness for accurate adhesive force predictions, Chem. Eng. Sci. 158, 140 (2017).
- J. N. Israelachvili, Intermolecular and Surface Forces (Academic Press, Burlington, MA, 2011).
- Y. Guo and J. S. Curtis, Discrete element method simulations for complex granular flows, Annu. Rev. Fluid Mech. 47, 21 (2015).
- R. J. Hill, D. L. Koch, and A. J. C. Ladd, The first effects of fluid inertia on flows in ordered and random arrays of spheres, J. Fluid Mech. 448, 213 (2001).
- R. J. Hill, D. L. Koch, and A. J. C. Ladd, Moderate-Reynolds-number flows in ordered and random arrays of spheres, J. Fluid Mech. 448, 243 (2001).
- S. Benyahia, M. Syamlal, and T. J. O'Brien, Extension of Hill-Koch-Ladd drag correlation over all ranges of Reynolds number and solids volume fraction, Powder Technol. 162, 166 (2006).
- S. V. Patankar, Numerical Heat Transfer and Fluid Flow (McGraw-Hill, New York, 1980).
- C. Q. LaMarche, P. Liu, K. M. Kellogg, A. W. Weimer, and C. M. Hrenya, A system-size independent validation of CFD-DEM for noncohesive particles, AIChE J. 61, 4051 (2015).
- Y. Z. Zhao, Y. Cheng, C. N. Wu, Y. L. Ding, and Y. Jin, Eulerian-Lagrangian simulation of distinct clustering phenomena and RTDs in riser and downer, Particuology 8, 44 (2010).
- N. Taberlet, P. Richard, and E. J. Hinch, S shape of a granular pile in a rotating drum, Phys. Rev. E 73, 050301(R) (2006).
- P. Philippe and M. Badiane, Localized fluidization in a granular medium, Phys. Rev. E 87, 042206 (2013).
- B. Herb, S. Dou, K. Tuzla, and J. C. Chen, Solid mass fluxes in circulating fluidized beds, Powder Technol. 70, 197 (1992).
- S. Benyahia, H. Arastoopour, T. M. Knowlton, and H. Massah, Simulation of particles and gas flow behavior in the riser section of a circulating fluidized bed using the kinetic theory approach for the particulate phase, Powder Technol. 112, 24 (2000).
- J. McMillan, F. Shaffer, B. Gopalan, J. W. Chew, C. Hrenya, R. Hays, S. B. R. Karri, and R. Cocco, Particle cluster dynamics during fluidization, Chem. Eng. Sci. 100, 39 (2013).
- A. Castellanos, The relationship between attractive interparticle forces and bulk behaviour in dry and uncharged fine powders, Adv. Phys. 54, 263 (2005).
- J. Capecelatro, O. Desjardins, and R. O. Fox, On fluid-particle dynamics in fully developed cluster-induced turbulence, J. Fluid Mech. 780, 578 (2015).
- P. J. Blau, Friction Science and Technology from Concepts to Applications (CRC Press, Boca Raton, FL, 2009).
- W. R. Ketterhagen, R. Bharadwaj, and B. C. Hancock, The coefficient of rolling resistance (CoRR) of some pharmaceutical tablets, Int. J. Pharm. 392, 107 (2010).
- ASTM, Standard test method for measuring rolling friction characteristics of a spherical shape on a flat horizontal plane, G194-08, American Society for Testing and Materials, West Conshohocken, PA (2013).
- G. Kuwabara and K. Kono, Restitution coefficient in a collision between two spheres, Jpn. J. Appl. Phys. 26, 1230 (1987).
- S. F. Foerster, M. Y. Louge, A. H. Chang, and K. Allia, Measurements of the collision properties of small spheres, Phys. Fluids 6, 1108 (1994).
- M. Syamlal, W. Rogers, and T. J. O'Brien, MFIX Documentation Theory Guide (1993).
- C. Q. LaMarche, A. W. Miller, P. Liu, and C. M. Hrenya, Linking micro-scale predictions of capillary forces to macro-scale fluidization experiments in humid environments, AIChE J. 62, 3585 (2016).
- H. A. Makse, D. L. Johnson, and L. M. Schwartz, Packing of Compressible Granular Materials, Phys. Rev. Lett. 84, 4160 (2000).
- R. Y. Yang, R. P. Zou, and A. B. Yu, Effect of material properties on the packing of fine particles, J. Appl. Phys. 94, 3025 (2003).
- G. R. Farrell, K. M. Martini, and N. Menon, Loose packings of frictional spheres, Soft Matter 6, 2925 (2010).
- R. Moreno-Atanasio, B. H. Xu, and M. Ghadiri, Computer simulation of the effect of contact stiffness and adhesion on the fluidization behaviour of powders, Chem. Eng. Sci. 62, 184 (2007).
- M. J. V. Goldschmidt, R. Beetstra, and J. A. M. Kuipers, Hydrodynamic modelling of dense gas-fluidised beds: Comparison and validation of 3D discrete particle and continuum models, Powder Technol. 142, 23 (2004).
- Y. H. Zhao, B. Lu, and Y. J. Zhong, Influence of collisional parameters for rough particles on simulation of a gas-fluidized bed using a two-fluid model, Int. J. Multiph. Flow 71, 1 (2015).
- I. Goldhirsch, Rapid granular flows, Annu. Rev. Fluid Mech. 35, 267 (2003).
- W. D. Fullmer and C. M. Hrenya, The clustering instability in rapid granular and gas-solid flows, Annu. Rev. Fluid Mech. 49, 485 (2017).
- K. M. Kellogg, P. Liu, C. Q. LaMarche, and C. M. Hrenya, Continuum theory for rapid, cohesive-particle flows: Balance equations and DEM-based closure of cohesion-specific quantities (unpublished).
- M. A. van der Hoef, R. Beetstra, and J. A. M. Kuipers, Lattice-Boltzmann simulations of low-Reynolds-number flow past mono- and bidisperse arrays of spheres: results for the permeability and drag force, J. Fluid Mech. 528, 233 (2005).
- K. Agrawal, P. N. Loezos, M. Syamlal, and S. Sundaresan, The role of meso-scale structures in rapid gas-solid flows, J. Fluid Mech. 445, 151 (2001).
- F. Shaffer, B. Gopalan, R. W. Breault, R. Cocco, S. B. R. Karri, R. Hays, and T. Knowlton, High speed imaging of particle flow fields in CFB risers, Powder Technol. 242, 86 (2013).
- M. Mehrabadi, E. Murphy, and S. Subramaniam, Development of a gas-solid drag law for clustered particles using particle-resolved direct numerical simulation, Chem. Eng. Sci. 152, 199 (2016).
- M. T. Shah, R. P. Utikar, M. O. Tade, G. M. Evans, and V. K. Pareek, Effect of a cluster on gas-solid drag from lattice Boltzmann simulations, Chem. Eng. Sci. 102, 365 (2013).
- G. F. Zhou, Q. G. Xiong, L. M. Wang, X. W. Wang, X. X. Ren, and W. Ge, Structure-dependent drag in gas-solid flows studied with direct numerical simulation, Chem. Eng. Sci. 116, 9 (2014).
- T. Li, L. Wang, W. Rogers, G. Zhou, and W. Ge, An approach for drag correction based on the local heterogeneity for gas-solid flows, AIChE J. 63, 1203 (2017).
- J. W. Chew, R. Hays, J. G. Findlay, T. M. Knowlton, S. B. R. Karri, R. A. Cocco, and C. M. Hrenya, Reverse core-annular flow of Geldart Group B particles in risers, Powder Technol. 221, 1 (2012).
- P. Gondret, M. Lance, and L. Petit, Bouncing motion of spherical particles in fluids, Phys. Fluids 14, 643 (2002).
- M. W. Weber, D. K. Hoffman, and C. M. Hrenya, Discrete-particle simulations of cohesive granular flow using a square-well potential, Granul. Matter 6, 239 (2004).
- A. A. Kantak, C. M. Hrenya, and R. H. Davis, Initial rates of aggregation for dilute, granular flows of wet particles, Phys. Fluids 21, 023301 (2009).
- C. M. Donahue, C. M. Hrenya, and R. H. Davis, Stokes's Cradle: Newton's Cradle with Liquid Coating, Phys. Rev. Lett. 105, 034501 (2010).
- P. Liu, K. M. Kellogg, C. Q. LaMarche, and C. M. Hrenya, Dynamics of singlet-doublet collisions of cohesive particles, Chem. Eng. J. 324, 380 (2017).
- E. Murphy and S. Subramaniam, Binary collision outcomes for inelastic soft-sphere models with cohesion, Powder Technol. 305, 462 (2017).
- A. Puglisi, V. Loreto, U. M. B. Marconi, A. Petri, and A. Vulpiani, Clustering and Non-Gaussian Behavior in Granular Matter, Phys. Rev. Lett. 81, 3848 (1998).
- W. Losert, D. G. W. Cooper, J. Delour, A. Kudrolli, and J. P. Gollub, Velocity statistics in excited granular media, Chaos 9, 682 (1999).
- J. S. van Zon and F. C. MacKintosh, Velocity Distributions in Dissipative Granular Gases, Phys. Rev. Lett. 93, 038001 (2004).
- E. Murphy and S. Subramaniam, Freely cooling granular gases with short-ranged attractive potentials, Phys. Fluids 27, 043301 (2015).
- F. L. Yang and M. L. Hunt, Dynamics of particle-particle collisions in a viscous liquid, Phys. Fluids 18, 121506 (2006).
- C. M. Donahue, R. H. Davis, A. A. Kantak, and C. M. Hrenya, Mechanisms for agglomeration and deagglomeration following oblique collisions of wet particles, Phys. Rev. E 86, 021303 (2012).
- S. Timoshenko, Theory of Elasticity (McGraw-Hill, New York, 1934).
- T. Schwager, V. Becker, and T. Poschel, Coefficient of tangential restitution for viscoelastic spheres, Eur. Phys. J. E 27, 107 (2008).