Review of cluster characteristics in circulating fluidized bed (CFB) risers

Afsahi, 2009, Clusters identification and characterization in a gas-solid fluidized bed by the wavelet analysis, Can. J. Chem. Eng., 87, 375, 10.1002/cjce.20167 Agrawal, 2001, The role of meso-scale structures in rapid gas-solid flows, J. Fluid Mech., 445, 151, 10.1017/S0022112001005663 Andreux, 2008, Hydrodynamic and solid residence time distribution in a circulating fluidized bed: experimental and 3D computational study, Chem. Eng. Process., 47, 463, 10.1016/j.cep.2007.01.023 Arastoopour, 1979, Analysis of IGT pneumatic conveying data and fast fluidization using a thermo-hydrodynamic model, Powder Technol., 22, 77, 10.1016/0032-5910(79)85009-3 Avidan, 1985, Solids mixing in an expanded top fluid bed, AIChE J., 31, 835, 10.1002/aic.690310520 Azario, 1995, Velocity analysis of the solid phase in a circulating fluidized bed, 647 Baerns, 1966, Effect of interparticle adhesive forces on fluidization of fine particles, Ind. Eng. Chem. Fundam., 5, 508, 10.1021/i160020a013 Baeyens, 1992, Elutriation of fines from gas-fluidized beds of Geldart A-type powders - effect of adding superfines, Powder Technol., 71, 71, 10.1016/0032-5910(92)88006-4 Baron, 1988, Measurement of the flux of clusters ejected from a fluidized bed, Powder Technol., 55, 115, 10.1016/0032-5910(88)80094-9 Bénoni, 1994, A procedure to determine particle agglomeration in a fluidized bed and its effect on entrainment, Powder Technol., 78, 33, 10.1016/0032-5910(93)02780-E Benyahia, 2002, Two-dimensional transient numerical simulation of solids and gas flow in the riser section of a circulating fluidized bed, Chem. Eng. Commun., 189, 510, 10.1080/00986440212093 Benyahia, 2000, 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, 10.1016/S0032-5910(99)00302-2 Bi, H.T., Zhu, J.X., Jin, Y., Yu, Z.Q., 1993. Forms of particle aggregation in CFB. In: Proceedings of the 6th Fluidization Conference, Wuhan, China, pp. 162–167. Biggs, 2008, Granular temperature in a gas fluidized bed, Granul. Matter, 10, 63, 10.1007/s10035-007-0077-8 Boyd, 2001, The uses of passive measurement of acoustic emissions from chemical engineering processes, Chem. Eng. Sci., 56, 1749, 10.1016/S0009-2509(00)00540-6 Boyer, 2002, Measuring techniques in gas-liquid and gas-liquid-solid reactors, Chem. Eng. Sci., 57, 3185, 10.1016/S0009-2509(02)00193-8 Brereton, 1993, Microstructural aspects of the behavior of circulating fluidized-beds, Chem. Eng. Sci., 48, 2565, 10.1016/0009-2509(93)80267-T Brilliantov, N.V., Poschel, T., 2004. Transport processes and kinetic coefficients. In: Kinetic Theory of Granular Gasses. Oxford University Press: New York. pp. 167–224. Bussing, 2001, On viscous momentum transfer by solids in gas-solids flow through risers, Chem. Eng. Sci., 56, 3803, 10.1016/S0009-2509(01)00099-9 Cabezas-Gómez, 2008, Cluster identification and characterization in the riser of a circulating fluidized bed from numerical simulation results, Appl. Math. Model., 32, 327, 10.1016/j.apm.2006.12.005 Cabezas-Gómez, 2003, Numerical study on the influence of various physical parameters over the gas-solid two-phase flow in the 2D riser of a circulating fluidized bed, Powder Technol., 132, 216, 10.1016/S0032-5910(03)00071-8 Cahyadi, 2015, Comparative study of Transport Disengaging Height (TDH) correlations in gas‐solid fluidization, Powder Technol., 275, 220, 10.1016/j.powtec.2015.02.010 Capes, 1974, Particle agglomeration and the value of exponent n in Richardson-Zaki equation, Powder Technol., 10, 303, 10.1016/0032-5910(74)85005-9 Chalermsinsuwan, 2009, Effect of circulating fluidized bed reactor riser geometries on chemical reaction rates by using CFD simulations, Chem. Eng. Process., 48, 165, 10.1016/j.cep.2008.03.008 Chen, 1999, Experiments that address phenomenological issues of fast fluidization, Chem. Eng. Sci., 54, 5529, 10.1016/S0009-2509(99)00300-0 Chew, 2015, Review of entrainment correlations in gas-solid fluidization, Chem. Eng. J., 260, 152, 10.1016/j.cej.2014.08.086 Chew, 2011, Species segregation of binary mixtures and a continuous size distribution of Group B particles in riser flow, Chem. Eng. Sci., 66, 4595, 10.1016/j.ces.2011.06.031 Chew, 2011, Impact of material property and operating conditions on mass flux profiles of monodisperse and polydisperse Group B particles in a CFB riser, Powder Technol., 214, 89, 10.1016/j.powtec.2011.07.040 Chew, 2012, Cluster characteristics of Geldart Group B particles in a pilot-scale CFB riser. I. Monodisperse systems, Chem. Eng. Sci., 68, 72, 10.1016/j.ces.2011.09.012 Chew, 2012, Cluster characteristics of Geldart Group B particles in a pilot-scale CFB riser. II. Polydisperse systems, Chem. Eng. Sci., 68, 82, 10.1016/j.ces.2011.09.011 Chew, 2011, Link between bubbling and segregation patterns in gas-fluidized beds with continuous size distributions, AIChE J., 57, 3003, 10.1002/aic.12507 Chew, 2011, Cluster characteristics of continuous size distributions and binary mixtures of Group B particles in dilute riser flow, Chem. Eng. J., 178, 348, 10.1016/j.cej.2011.10.020 Chew, 2013, Elutriation and species segregation characteristics of polydisperse mixtures of Group B particles in a dilute CFB riser, AIChE J., 59, 84, 10.1002/aic.13784 Cocco, 2010, Particle clusters in and above fluidized beds, Powder Technol., 203, 3, 10.1016/j.powtec.2010.03.023 Cody, 2000, A novel non-intrusive probe of particle motion and gas generation in the feed injection zone of the feed riser of a fluidized bed catalytic cracking unit, Powder Technol., 110, 128, 10.1016/S0032-5910(99)00275-2 Cody, 1996, Particle granular temperature in gas fluidized beds, Powder Technol., 87, 211, 10.1016/0032-5910(96)03087-2 Cui, 2000, Characterization of dynamic gas-solid distribution in fluidized beds, Chem. Eng. J., 79, 133, 10.1016/S1385-8947(00)00178-9 Cui, 2001, Gas and solids between dynamic bubble and emulsion in gas-fluidized beds, Powder Technol., 120, 12, 10.1016/S0032-5910(01)00341-2 Cundall, 1979, Discrete numerical-model for granular assemblies, Geotechnique, 29, 47, 10.1680/geot.1979.29.1.47 Das, 2008, Prediction of cluster diameter for a wide range of particles for gas-solid dispersed phase in a fast fluidized-bed reactor, Asia-Pac. J. Chem. Eng., 3, 223, 10.1002/apj.131 Davidson, 2000, Circulating fluidised bed hydrodynamics, Powder Technol., 113, 249, 10.1016/S0032-5910(00)00308-9 Dong, 2006, Role of interparticle forces in the formation of random loose packing, Phys. Rev. Lett., 96, 145505, 10.1103/PhysRevLett.96.145505 Donsi, 1973, Bubble-free expansion of gas-fluidized beds of fine particles, AIChE J., 19, 1104, 10.1002/aic.690190604 Eaton, 1994, Preferential concentration of particles by turbulence, Int. J. Multiph. Flow, 20, 169, 10.1016/0301-9322(94)90072-8 Fan, L.-S., Zhu, C., 1998a. Collision mechanics of solids. In: Principles of Gas-Solid Flows. Cambridge University Press: Cambridge. pp. 46–86. Fan, L.-S., Zhu, C., 1998b. Momentum transfer and charge transfer. In: Principles of Gas-Solid Flows. Cambridge University Press: Cambridge. pp. 87–129. Firuzian, 2014, Experimental investigation of cluster properties in dense gas-solid fluidized beds of different diameters, Particuology, 16, 69, 10.1016/j.partic.2013.10.008 Fortes, 1987, Nonlinear mechanics of fluidization of beds of spherical-particles, J. Fluid Mech., 177, 467, 10.1017/S0022112087001046 Gidaspow, 1994 Gidaspow, 1989, Computed and experimental cluster formation and velocity profiles in circulating fluidized beds, 81 Glasser, 1998, From bubbles to clusters in fluidized beds, Phys. Rev. Lett., 81, 1849, 10.1103/PhysRevLett.81.1849 Glicksman, 1985, The effect of bed width on the hydrodynamics of large particle fluidized beds, Powder Technol., 42, 159, 10.1016/0032-5910(85)80049-8 Goldhirsch, 1993, Clustering instability in dissipative gases, Phys. Rev. Lett., 70, 1619, 10.1103/PhysRevLett.70.1619 Gorham, 2000, The measurement of particle rebound characteristics, Powder Technol., 112, 193, 10.1016/S0032-5910(00)00293-X Grace, 1979, Theory for cluster formation in vertically conveyed suspensions of intermediate density, Trans. Inst. Chem. Eng., 57, 49 Griffith, 1998, The scaling of cluster velocity at the wall of circulating fluidized bed risers, Chem. Eng. Sci., 53, 2475, 10.1016/S0009-2509(98)00038-4 Guenther, 2007, Wavelet analysis to characterize cluster dynamics in a circulating fluidized bed, Powder Technol., 173, 163, 10.1016/j.powtec.2006.12.016 Harris, 2002, The prediction of particle cluster properties in the near wall region of a vertical riser, Powder Technol., 127, 128, 10.1016/S0032-5910(02)00114-6 Hartge, 2009, CFD-simulation of a circulating fluidized bed riser, Particuology, 7, 283, 10.1016/j.partic.2009.04.005 Hartge, 1988, Solids concentration and velocity patterns in circulating fluidized beds, 165 Hatano, 1994, Microscope visualization of solid particles in circulating fluidized-beds, Powder Technol., 78, 115, 10.1016/0032-5910(93)02776-7 Hays, R., Karri, S.B.R., Cocco, R., Knowlton, T., 2008. Small particles cluster formation in fluidized beds and its effect on entrainment. In: Wertehr, J., Nowak, W., Wirth, K.-E., Hartge, E.-U. (Eds.), Circulating Fluidized Bed Technology IX. Hamburg, p. 335. He, 2009, Gas-solid turbulent flow in a circulating fluidized bed riser: numerical study of binary particle systems, Ind. Eng. Chem. Res., 48, 8098, 10.1021/ie8015297 Helland, 2007, Drag reduction and cluster formation in a circulating fluidised bed, Chem. Eng. Sci., 62, 148, 10.1016/j.ces.2006.08.012 Helland, 2000, Numerical study of cluster formation in a gas-particle circulating fluidized bed, Powder Technol., 110, 210, 10.1016/S0032-5910(99)00260-0 Helland, 2002, Computational study of fluctuating motions and cluster structures in gas-particle flows, Int. J. Multiph. Flow, 28, 199, 10.1016/S0301-9322(01)00041-6 Herb, 1992, Solid mass fluxes in circulating fluidized-beds, Powder Technol., 70, 197, 10.1016/0032-5910(92)80054-Z Herb, 1989, Distribution of solid concentrations in circulating fluidized bed, 65 Hoomans, 1996, Discrete particle simulation of bubble and slug formation in a two-dimensional gas-fluidised bed: a hard-sphere approach, Chem. Eng. Sci., 51, 99, 10.1016/0009-2509(95)00271-5 Hopkins, 1993, On the structure of 3-dimensional shear flows, Mech. Mater., 16, 179, 10.1016/0167-6636(93)90041-O Hopkins, 1991, Inelastic microstructure in rapid granular flows of smooth disks, Phys. Fluids A: Fluid Dyn., 3, 47, 10.1063/1.857863 Horio, 1992, A note on terminology - ‘clusters’ and ‘agglomerates’, Powder Technol., 70, 196, 10.1016/0032-5910(92)80053-Y Horio, 1992, On the nature of turbulent and fast fluidized-beds, Powder Technol., 70, 229, 10.1016/0032-5910(92)80058-5 Horio, 1994, Three-dimensional flow visualization of dilutely dispersed solids in bubbling and circulating fluidized-beds, Chem. Eng. Sci., 49, 2413, 10.1016/0009-2509(94)E0071-W Horio, 1988, Solid distribution and movement in circulating fluidized beds, 147 Hua, 2004, Modelling of axial and radial solid segregation in a CFB boiler, Chem. Eng. Process., 43, 971, 10.1016/j.cep.2003.09.005 Hussain, 2013, Experimental and simulation study of fluidization behavior of palm biomass in a circulating fluidized bed riser, Ind. Eng. Chem. Res., 52, 17529, 10.1021/ie401856b Hussainov, 1996, Gas-solid flow with the slip velocity of particles in a horizontal channel, J. Aerosol. Sci., 27, 41, 10.1016/0021-8502(95)00052-6 Islam, M.A., Krol, S., de Lasa, H.I., 2010. Radial distribution of particle clusters in a downer reactor unit. In: Kim, S.D., Kang, Y., Lee, J.K., Seo, Y.C. (Eds.), Proceedings of the 13th International Conference on Fluidization - New Paradigm in Fluidization Engineering. Engineering Conferences International, Gyeong-ju, Korea. Jayaweera, 1964, The behaviour of clusters of spheres falling in a viscous fluid Part 1. Experiment, J. Fluid Mech., 20, 121, 10.1017/S0022112064001069 Jie, 1999, Discrete simulations of heterogeneous structure and dynamic behavior in gas-solid fluidization, Chem. Eng. Sci., 54, 5427, 10.1016/S0009-2509(99)00275-4 Jin, 2010, Modeling on high-flux circulating fluidized bed with geldart group B particles by kinetic theory of granular flow, Energy Fuels, 24, 3159, 10.1021/ef100096c Jin, 2001, 453 Jiradilok, 2008, Computation of turbulence and dispersion of cork in the NETL riser, Chem. Eng. Sci., 63, 2135, 10.1016/j.ces.2008.01.019 Karimipour, 2007, Evaluation of heat transfer coefficient in gas–solid fluidized beds using cluster-based approach, Powder Technol., 172, 19, 10.1016/j.powtec.2006.10.037 Karri, 1998, Flow direction and size segregation of annulus solids in a riser, 189 Kiani, 2013, Cluster size distribution in the freeboard of a gas-solid fluidized bed, Powder Technol., 246, 1, 10.1016/j.powtec.2013.04.056 Kohyama, 1991, Cluster growth in particle-conserving cellular automata, J. Stat. Phys., 63, 637, 10.1007/BF01029203 Krol, 2000, Particle clustering in down flow reactors, Powder Technol., 108, 6, 10.1016/S0032-5910(99)00196-5 Kuroki, 1994, The flow structure of a three-dimensional circulating fluidized bed observed by the laser sheet technique, 77 Lackermeier, 2001, Visualization of flow structures inside a circulating fluidized bed by means of laser sheet and image processing, Powder Technol., 114, 71, 10.1016/S0032-5910(00)00265-5 Lan, 2013, Solids back-mixing behavior and effect of the mesoscale structure in CFB risers, Ind. Eng. Chem. Res., 52, 11888, 10.1021/ie3034448 Lewis, 1949, Characteristics of fluidized particles, Ind. Eng. Chem., 41, 1104, 10.1021/ie50474a004 Li, 1991, Micro-visualization of cluster in a fast fluidized bed, Powder Technol., 66, 231, 10.1016/0032-5910(91)80035-H Li, 1995, The cluster-size distribution and motion behavior in a fast fluidized-bed, Powder Technol., 84, 241, 10.1016/0032-5910(95)02985-B Li, 1994 Li, 2013, Numerical simulation of the turbulent gas-solid flow and reaction in a polydisperse FCC riser reactor, Powder Technol., 237, 569, 10.1016/j.powtec.2012.12.062 Li, 1999, The EMMS model - its application, development and updated concepts, Chem. Eng. Sci., 54, 5409, 10.1016/S0009-2509(99)00274-2 Li, 2014, Comparison of full-loop and riser-only simulations for a pilot-scale circulating fluidized bed riser, Chem. Eng. Sci., 120, 10, 10.1016/j.ces.2014.08.041 Li, 2012, MFIX simulation of NETL/PSRI challenge problem of circulating fluidized bed, Chem. Eng. Sci., 84, 746, 10.1016/j.ces.2012.09.024 Li, 2012, A CFD study of gas-solid jet in a CFB riser flow, AIChE J., 58, 756, 10.1002/aic.12619 Lim, K.S., Zhou, J., Finley, C., Grace, J.R., Lim, C.J., Brereton, C.M.H., 1996. Cluster descending velocity at the wall of circulating fluidized bed risers. In: Proceedings of the 5th International Conference on Circulating Fluidized Beds, Beijing, People’s Republic of China. Lin, 2001, Transient density signal analysis and two-phase micro-structure flow in gas-solids fluidization, Chem. Eng. Sci., 56, 2179, 10.1016/S0009-2509(00)00499-1 Lints, M.C., Glicksman, L.R., 1993a. Parameters governing particle-to-wall heat transfer in a circulating fluidized bed. In: Avidan, A. (Ed.), Proceedings of the 4th International Conference on Circulating Fluidized Beds, Somerset, PA., pp. 297–304. Lints, 1993, The structure of particle clusters near the wall of a circulating fluidized-bed, Fluid-Part. Process.: Fundam. Appl., 89, 35 Liu, 1996, Aggregative and particulate fluidization - the two extremes of a continuous spectrum, Chem. Eng. Sci., 51, 4045, 10.1016/0009-2509(96)00247-3 Liu, 2009, Numerical study on the cluster flow behavior in the riser of circulating fluidized beds, Chem. Eng. J., 150, 374, 10.1016/j.cej.2009.01.015 Liu, 2005, Characterizing particle clustering behavior by PDPA measurement for dilute gas–solid flow, Chem. Eng. J., 108, 193, 10.1016/j.cej.2005.01.012 Lu, 2013, 3-D full-loop simulation of an industrial-scale circulating fluidized-bed boiler, AIChE J., 59, 1108, 10.1002/aic.13917 Lu, 2008, Numerical simulation of flow behavior of particles and clusters in riser using two granular temperatures, Powder Technol., 182, 282, 10.1016/j.powtec.2007.09.003 Lu, 2005, Numerical study of particle cluster flow in risers with cluster-based approach, Chem. Eng. Sci., 60, 6757, 10.1016/j.ces.2005.05.063 Luo, 2015, High-fidelity simulation of the 3-D full-loop gas-solid flow characteristics in the circulating fluidized bed, Chem. Eng. Sci., 123, 22, 10.1016/j.ces.2014.10.039 Mallat, 1989, A theory for multiresolution signal decomposition - the wavelet representation, IEEE Trans. Pattern Anal. Mach. Intell., 11, 674, 10.1109/34.192463 Manyele, 2002, Characterizing particle aggregates in a high-density and high-flux CFB riser, Chem. Eng. J., 88, 151, 10.1016/S1385-8947(01)00299-6 Matsuda, 1996, Motion of individual solid particles in a circulating fluidized bed riser, 176 McMillan, 2013, Particle cluster dynamics during fluidization, Chem. Eng. Sci., 100, 39, 10.1016/j.ces.2013.02.047 Miller, 1992, Dense, vertical gas-solid flow in a pipe, AIChE J., 38, 1801, 10.1002/aic.690381111 Mogan, 1971, Value of exponent n in Richardson and Zaki equation, for fine solids fluidized with gases under pressure, Powder Technol., 4, 286, 10.1016/0032-5910(71)80051-7 Mondal, 2015, Length scales of solid clusters in a two-dimensional circulating fluidized bed of Geldart B particles, Powder Technol., 269, 207, 10.1016/j.powtec.2014.08.031 Moran, 2003, Experimental and numerical studies on the gas flow surrounding a single cluster applied to a circulating fluidized bed, Chem. Eng. Sci., 58, 1879, 10.1016/S0009-2509(02)00684-X Mostoufi, 2000, On the axial movement of solids in gas-solid fluidized beds, Chem. Eng. Res. Des., 78, 911, 10.1205/026387600527987 Mostoufi, 2004, Flow structure of the solids in gas–solid fluidized beds, Chem. Eng. Sci., 59, 4217, 10.1016/j.ces.2004.06.006 Nguyen, 2012, CFD simulation with experiments in a dual circulating fluidized bed gasifier, Comput. Chem. Eng., 36, 48, 10.1016/j.compchemeng.2011.07.005 Nikolopoulos, 2013, High-resolution 3-D full-loop simulation of a CFB carbonator cold model, Chem. Eng. Sci., 90, 137, 10.1016/j.ces.2012.12.007 Nova, S.R., Kroly, S., de Lasa, H.I., 2007. Radial Distribution of Particle Clusters in Down Flow Reactors, in: Berruti, F., Bi, X., Todd, P. (Eds.), Proceedings of the 12th International Conference on Fluidization - New Horizons in Fluidization Engineering. Engineering Conferences International, Vancouver, Canada. Noymer, 1998, Cluster motion and particle-convective heat transfer at the wall of a circulating fluidized bed, Int. J. Heat. Mass Transf., 41, 147, 10.1016/S0017-9310(97)00065-3 Noymer, 2000, Descent velocities of particle clusters at the wall of a circulating fluidized bed, Chem. Eng. Sci., 55, 5283, 10.1016/S0009-2509(00)00171-8 O'Brien, 1993, Particle cluster effects in the numerical simulation of a circulating fluidized bed, 345 Pandey, 2004, Nonintrusive particle motion studies in the near-wall region of a pilot-scale circulating fluidized bed, Ind. Eng. Chem. Res., 43, 5582, 10.1021/ie0307737 Park, 2003, The clustered dense phase model for group A fluidization: i. Dense phase hydrodynamics, Chem. Eng. Sci., 58, 193, 10.1016/S0009-2509(02)00471-2 Parssinen, 2001, Axial and radial solids distribution in a long and high-flux CFB riser, AIChE J., 47, 2197, 10.1002/aic.690471007 Qi, 2008, Hydrodynamic similarity in circulating fluidized bed risers, Chem. Eng. Sci., 63, 5613, 10.1016/j.ces.2008.07.036 Ren, 2001, Wavelet analysis of dynamic behavior in fluidized beds, Chem. Eng. Sci., 56, 981, 10.1016/S0009-2509(00)00313-4 Rhodes, 1992, Particle motion at the wall of a circulating fluidized-bed, Powder Technol., 70, 207, 10.1016/0032-5910(92)80055-2 Rhodes, M.J., 2008. Particle size analysis. In: Introduction to Particle Technology. John Wiley & Sons, Ltd.: Hoboken, NJ. pp. 1-28. Rice, 2010, Clustering in rapid granular flows of binary and continuous particle size distributions, Phys. Rev. E, 81, 021302, 10.1103/PhysRevE.81.021302 Richardson, 1954, Sedimentation and fluidization, Trans. Inst. Chem. Eng., 32, 35 Royer, 2009, High-speed tracking of rupture and clustering in freely falling granular streams, Nature, 459, 1110, 10.1038/nature08115 Sabbaghan, 2004, Modeling the acceleration zone in the riser of circulating fluidized beds, Powder Technol., 142, 129, 10.1016/j.powtec.2004.04.034 Samuelsberg, 1996, Computational modeling of gas/particle flow in a riser, AIChE J., 42, 1536, 10.1002/aic.690420605 Seo, 2011, Solid circulation and loop-seal characteristics of a dual circulating fluidized bed: experiments and CFD simulation, Chem. Eng. J., 168, 803, 10.1016/j.cej.2011.01.041 Shaffer, 2013, High speed imaging of particle flow fields in CFB risers, Powder Technol., 242, 86, 10.1016/j.powtec.2013.01.012 Sharma, 2000, Parametric effects of particle size and gas velocity on cluster characteristics in fast fluidized beds, Powder Technol., 111, 114, 10.1016/S0032-5910(00)00247-3 Shi, H., Wang, Q., Xu, L., Luo, Z., Cen, K., 2008. Visualization of clusters in a circulating fluidized bed by means of particle-imaging velocimetry (PIV) technique. In: Werther, J., Nowak, W., Wirth, K.-E., Hartge, E.-U. (Eds.), Proceedings of the 9th International Conference on Circulating Fluidized Beds, Hamburg, Germany. pp. 1013–1019. Shida, 1989, Cluster formation by inelastically colliding particles in one-dimensional space, Phys. A: Stat. Mech. Appl., 162, 145, 10.1016/0378-4371(89)90562-1 Shuai, 2013, CFD simulation of gas–solid flow with a cluster structure-dependent drag coefficient model in circulating fluidized beds, Appl. Math. Model., 37, 8179, 10.1016/j.apm.2013.02.033 Shuyan, 2008, Numerical predictions of flow behavior and cluster size of particles in riser with particle rotation model and cluster-based approach, Chem. Eng. Sci., 63, 4116, 10.1016/j.ces.2008.05.021 Sinclair, 1989, Gas-particle flow in a vertical pipe with particle-particle interactions, AIChE J., 35, 1473, 10.1002/aic.690350908 Soong, 1993, Identification of particle clusters in circulating fluidized beds, 615 Soong, 1995, Experimental determination of cluster size and velocity in circulating fluidized beds, 219 Subbarao, 1986, Clusters and lean-phase behavior, Powder Technol., 46, 101, 10.1016/0032-5910(86)80016-X Subbarao, 1986, A model for heat-transfer in circulating fluidized-beds, Int. J. Heat. Mass Transf., 29, 487, 10.1016/0017-9310(86)90217-6 Takeuchi, 1991, Flow visualization in the riser of a circulating fluidized bed, 177 Takeuchi, 1996, Flowing behavior of particles in the riser of a circulating fluidized bed, 164 Takeuchi, 1998, Gross behavior of parabolic strands in a riser, 173 Tanaka, 1996, Cluster formation and particle-induced instability in gas-solid flows predicted by the DSMC method, JSME Int. J. Ser. B, 39, 239, 10.1299/jsmeb.39.239 Teplitskii, 2005, On the cluster structure of a circulating fluidized bed, J. Eng. Phys. Thermophys., 78, 316, 10.1007/s10891-005-0063-0 Tsuji, 2008, Multi-scale structure of clustering particles, Powder Technol., 179, 115, 10.1016/j.powtec.2007.07.003 Tsuji, 1998, Cluster patterns in circulating fluidized beds predicted by numerical simulation (discrete particle model versus two-fluid model), Powder Technol., 95, 254, 10.1016/S0032-5910(97)03349-4 Tsuo, 1990, Computation of flow patterns in circulating fluidized-beds, AIChE J., 36, 885, 10.1002/aic.690360610 Tuzla, 1998, Transient dynamics of solid concentration in downer fluidized bed, Powder Technol., 100, 166, 10.1016/S0032-5910(98)00137-5 Van den Moortel, 1998, Experimental analysis of the gas particles flow structure in the dilute zone of a circulating fluidized bed by image processing, 157 Van den Moortel, 1996, Experimental analysis of the two-phase flow structures in a circulating fluidized bed by image processing, 230 Van Engelandt, 2011, Experimental and computational study of T- and L-outlet effects in dilute riser flow, Chem. Eng. Sci., 66, 5024, 10.1016/j.ces.2011.06.060 van Ommen, 2008, Measuring the gas-solids distribution in fluidized beds-a review, Int. J. Chem. React. Eng., 6 van Wachem, 2001, Comparative analysis of CFD models of dense gas-solid systems, AIChE J., 47, 1035, 10.1002/aic.690470510 Visser, 1989, Van der Waals and other cohesive forces affecting powder fluidization, Powder Technol., 58, 1, 10.1016/0032-5910(89)80001-4 Wang, 2008, High-resolution Eulerian simulation of RMS of solid volume fraction fluctuation and particle clustering characteristics in a CFB riser, Chem. Eng. Sci., 63, 3341, 10.1016/j.ces.2008.03.041 Wang, 2009, DSMC prediction of granular temperatures of clusters and dispersed particles in a riser, Powder Technol., 192, 225, 10.1016/j.powtec.2009.01.008 Wang, 2005, Flow behavior of clusters in a riser simulated by direct simulation Monte Carlo method, Chem. Eng. J., 106, 197, 10.1016/j.cej.2004.12.036 Wang, 2007, Simulation of gas-solid two-phase flow by a multi-scale CFD approach - Extension of the EMMS model to the sub-grid level, Chem. Eng. Sci., 62, 208, 10.1016/j.ces.2006.08.017 Wang, 2010, Experimental validation of the gas–solid flow in the CFB riser, Fuel Process. Technol., 91, 927, 10.1016/j.fuproc.2010.02.020 Wang, 1992, Two-dimensional rigid-body collisions with friction, J. Appl. Mech., 59, 635, 10.1115/1.2893771 Wei, 1995, The characteristics of cluster in a high-density circulating fluidized-bed, Can. J. Chem. Eng., 73, 650, 10.1002/cjce.5450730508 Wilhelm, 1948, Fluidization of solid particles, Chem. Eng. Prog., 44, 201 Wu, 2008, Theoretical and experimental investigations on particle rotation speed in CFB riser, Chem. Eng. Sci., 63, 3979, 10.1016/j.ces.2008.04.059 Wylie, 2000, Particle clustering due to hydrodynamic interactions, Phys. Fluids, 12, 964, 10.1063/1.870351 Xu, 1999, Hydrodynamic equivalent diameter for clusters in heterogeneous gas-solid flow, Chem. Eng. Sci., 54, 1837, 10.1016/S0009-2509(99)00021-4 Xu, 2012, A new method for the determination of cluster velocity and size in a circulating fluidized bed, Ind. Eng. Chem. Res., 51, 2143, 10.1021/ie200849h Xu, 2011, Visualization of particle aggregation and effects of particle properties on cluster characteristics in a CFB riser, Chem. Eng. J., 168, 376, 10.1016/j.cej.2011.01.044 Yang, 2014, A novel method based on image processing to visualize clusters in a rectangular circulating fluidized bed riser, Powder Technol., 254, 407, 10.1016/j.powtec.2014.01.015 Yang, 2003, CFD simulation of concurrent-up gas-solid flow in circulating fluidized beds with structure-dependent drag coefficient, Chem. Eng. J., 96, 71, 10.1016/j.cej.2003.08.006 Yang, 2000, Computer simulation of the packing of fine particles, Phys. Rev. E, 62, 3900, 10.1103/PhysRevE.62.3900 Yang, 2009, Multiresolution analysis on identification and dynamics of clusters in a circulating fluidized bed, AIChE J., 55, 612, 10.1002/aic.11758 Yates, 1994, Experimental methods in fluidization research, Int. J. Multiph. Flow., 20, 297, 10.1016/0301-9322(94)90076-0 Yin, X., Zenk, J., Mitrano, P.P., Hrenya, C.M., 2013. Clustering instabilities in gas-solid systems: role of dissipative collisions vs. viscous losses. In: Kuipers, J.A.M., Mudde, R.F., van Ommen, J.R., Deen, N.G. (Eds.), Proceedings of the 14th International Conference on Fluidization - From Fundamentals to Products. Engineering Conferences International: Noordwijkerhout, The Netherlands. Zelenko, 1996, Clusters and particle segregation in gas-solids flow through a vertical tube, Phys. A: Stat. Mech. Appl., 226, 274, 10.1016/0378-4371(96)00016-7 Zevenhoven, R., 1999. Near wall particle velocity and concentration measurements in circulating fluidized beds in relation to heat transfer. In: Proceedings of the 15th International Conference on Fluidized Bed Combustion. American Society of Mechanical Engineers: Savannah, GA. Zhang, 2008, A CFD-DEM study of the cluster behavior in riser and downer reactors, Powder Technol., 184, 151, 10.1016/j.powtec.2007.11.036 Zhang, 2010, 3D CFD simulation of hydrodynamics of a 150 MWe circulating fluidized bed boiler, Chem. Eng. J., 162, 821, 10.1016/j.cej.2010.06.033 Zhou, 2012, CFD modeling of the fast pyrolysis of coal in cold flow fluidized bed, Adv. Mater. Res., 396–398, 209 Zhu, 2007, Discrete particle simulation of particulate systems: theoretical developments, Chem. Eng. Sci., 62, 3378, 10.1016/j.ces.2006.12.089 Zou, 1994, Cluster structure in a circulating fluidized-bed, Powder Technol., 78, 173, 10.1016/0032-5910(93)02786-A Zou, 1995, The packing of spheres in a cylindrical container - the thickness effect, Chem. Eng. Sci., 50, 1504, 10.1016/0009-2509(94)00483-8