[1] Berruti, F., Chaouki, J., Godfroy, L., Pugsley, T., Patience, G. (1995). Hydrodynamics of circulating fluidized bed risers: a review, The Canadian Journal of Chemical Engineering, vol. 73, pp. 579– 602.
[2] Armstrong, L., Luo, K., Gu, S. Three-dimensional modelling on the hydrodynamics of a circulating fluidised bed, in: Proceedings of the Inaugural US-EU- China Thermophysics Conference, Beijing, China.
[3] Kuipers, J.A.M., Prins, W., van Swaaij, W.P.M. (1992). Numerical calculation of wall-to-bed heat transfer coefficients i gas-fluidized beds. AIChE J., vol. 38, pp. 1079-1091.
[4] Patil, D., Smit, J., van Sint Annaland, M., Kuipers, J.A.M. (2006). Wall-to-bed heat transfer in gas- solid bubbling fluidized beds, AIChE J., vol. 52, pp. 58–74.
[5] Samuelsberg, A., Hjertager, B. (1995). An experimental and numerical study of flow patterns in a circulating fluidized bed reactor, International Journal of Multiphase Flow, vol. 22, pp. 575–591.
[6] Almuttahar, A., Taghipour F. (2008). Computational fluid dynamics of high density circulating fluidized bed riser: study of modelling parameters, Powder Technology, vol. 185, pp. 11–23.
[7] Patil, A. V., Peters, E.A.J.F., Kolkman, T., Kuipers J.A.M. (2014). Modeling bubble heat transfer in gas–solid fluidized beds using DEM, Chemical Engineering Science, vol. 105, pp. 121–131.
[8] Oevermann, M., Gerber, S., Behrendt F. (2009). Euler–Lagrange/DEM simulation of wood gasification in a bubbling fluidized bed reactor, Particuology, vol. 7, pp. 307–316.
[9] Behjat, Y., Shahhosseini, S., Hashemabadi, S. H. (2008). CFD modeling of hydrodynamic and heat transfer in fluidized bed reactors, International Communications in Heat and Mass Transfer, vol. 35, 357–368.
[10] Chang, J., Wang, G., Gao, J., Zhang, K., Chen, H., Yang, Y. (2012). CFD modeling of particle–particle heat transfer in dense gas-solid fluidized beds of binary mixture, Powder Technology, vol. 217, pp. 50–60.
[11] Dehnavi, M. A., Shahhosseini, S., Hashemabadi, S. H., Ghafelebashi, S. M. (2010). CFD simulation of hydrodynamics and heat transfer in gas phase ethylene polymerization reactors, International Communications in Heat and Mass Transfer, vol. 37, pp. 437–442.
[12] Schmidt, A., Renz, U. (1999). Eulerian computation of heat transfer in fluidized beds, Chemical Engineering Science, vol. 54, pp. 5515–5522.
[13] Armstrong, L.M., Gu, S., Luo, K.H. (2010). The influence of multiple tubes on the tube-to-bed heat transfer in a fluidised bed, International Journal of Multiphase Flow, vol. 36, pp. 916–929.
[16] Armstrong, L.M., Gu, S., Luo, K.H. (2010). Study of wall-to-bed heat transfer in a bubbling fluidised bed using the kinetic theory of granular flow, International Journal of Heat and Mass Transfer, vol. 53, pp. 4949–4959.
[14] Gidaspow, D., Bezburuah, R., Ding, J. Hydrodynamics of circulating fluidized beds: kinetic theory approach, in: Proceedings of the 7th Fluidization Conference.
[15] Syamlal, M., O’Brien, T. Derivation of a drag coefficient from velocity voidage correlation, in: US Dept. of Energy, Office of Fossil Energy, National Energy Technology Laboratory, Morgantown, West Virginia April.
[17] Savage, S., Jeffrey, D. (1981). The stress tensor in a granular flow at high shear rates, Journal of Fluid Mechanics, vol. 110, pp. 255–272.
[18] Jenkins, J., Savage, S. (1983). A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles, Journal of Fluid Mechanics, vol. 130, pp. 187–202.
[19] Savage, S. (1983) Granular flows at high shear rates, in: R.E. Meyer (Ed.), Theory of Dispersed Multiphase Flow, Academic Press, New York.
[20] Hosseini, S.H., Ahmadi, G., Saeedi Razavi, B., Zhong, W. (2010). Computational fluid dynamic simulation of hydrodynamic behavior in a two-dimensional conical spouted bed, Energy Fuels, vol. 24, pp. 6086–6098.
[21] Hosseini, S.H., Ahmadi, G., Olazar, M. (2013). CFD simulation of cylindrical spouted bed by the kinetic theory of granular flow, Powder Technology, vol. 246, pp. 303–316.
[22] Hosseini, S.H., Ahmadi, G., Olazar, M. (2014). CFD study of particle velocity profiles inside a draft tube in a cylindrical spouted bed with conical base, Journal of the Taiwan Institute of Chemical Engineers, vol. 45, pp. 2140–2149.
[23] Hosseini, S.H. (2014). Influences of geometric factors on CFD results of a draft tube cylindrical spouted bed, Progress in Computational Fluid Dynamics: An International Journal, Accepted paper.
[24] Ding J., Gidaspow, D. (1990). A bubbling fluidization model using kinetic theory of granular flow, AIChE J, vol. 36, pp. 523–538.
[25] Gidaspow, D., Bezburuah, R., Ding, J. (1992). Hydrodynamics of circulating fluidized beds, kinetic theory approach. In Fluidization VII, Proceedings of the 7th Engineering Foundation Conference on Fluidization, 75–82.
[26] Schaeffer, D. (1987). Instability in the evolution equations describing incompressible granular flow, Journal of Differential Equations, vol. 66, pp. 19–50.
[27] Syamlal, M., Rogers, W., O’Brien, T. J. (1993). MFIX Documentation: Volume1, Theory Guide. National Technical Information Service, Springfield, VA. DOE/METC-9411004, NTIS/DE9400087.
[28] Lun, C. K. K., Savage, S. B., Jeffrey, D. J., Chepurniy, N. (1984). Kinetic theories for granular flow: inelastic particles in couette flow and slightly inelastic particles in a general flow field, Journal of Fluid Mechanics, vol. 140, pp. 223–256.
[29] Ogawa, S., Umemura, A., Oshima, N. (1980). On the equation of fully fluidized granular materials, Journal of Applied Mathematics and Physics, vol. 31, pp. 483–493.
[30] Gunn, D. (1978). Transfer of heat or mass to particles in fixed and fluidised beds, International Journal of Heat and Mass Transfer, vol. 21, pp. 467–476.
[31] Sinclair, J., Jackson, R. (1989). Gas-particle flow in a vertical pipe with particle-particle interactions, AIChE J., vol. 35, pp. 1473 –1486.
[32] Vasquez, S., Ivanov, V. (2000). A phase coupled method for solving multiphase problems on unstructured meshes, in: Proceedings of ASME FEDSM’00: ASME 2000 Fluids Engineering Division Summer Meeting, Boston.
[33] Pain, C. C., Mansoorzadeh, S., de Oliveira, C. R. E., Goddard, A. J. H. (2001). Numerical modelling of gas–solid fluidized beds using the two-fluid approach, International Journal for Numerical Methods in Fluids, vol. 36, 91–124.
[34] Pain, C. C., Mansoorzadeh, S., de Oliveira, C. R. E. (2001). A study of bubbling and slugging fluidised beds using the two-fluid granular temperature model, International Journal of Multiphase Flow, 27, pp. 527–551.
[35] Liu, G.-Q., Li, S.-Q., Zhao, X.-L., Yao, Q. (2008). Experimental studies of particle flow dynamics in a two-dimensional spouted bed, Chemical Engineering Science, 63, pp. 1131–1141.