112
4 Modelling Dynamically Structured Fluidisation
6. Che Y, Tian Z, Liu Z, Zhang R, Gao Y, Zou E, Wang S, Liu B (2015) CFD prediction of scale-up
effect on the hydrodynamic behaviors of a pilot-plant fluidized bed reactor and preliminary
exploration of its application for non-pelletizing polyethylene process. Powder Technol 278:94–
110
7. Chialvo S, Sun J, Sundaresan S (2012) Bridging the rheology of granular flows in three regimes.
Phys Rev E 85(2):021305
8. Chialvo S, Sundaresan S (2013) A modified kinetic theory for frictional granular flows in dense
and dilute regimes. Phys Fluids 25(7):070603
9. Coppens M-O, Regelink MA, van den Bleek CM (2002) Pulsation induced transition from
chaos to periodically ordered patterns in fluidised beds. In: Proceedings of 4th World Congress
on Particle Technology (WCPT), Sydney, pp 1–8
10. Courant R, Friedrichs K, Lewy H (1967) On the partial difference equations of mathematical
physics. IBM J 11(2):215–234
11. Cross M, Greenside H (2009) Pattern formation and dynamics in nonequilibrium systems.
Cambridge University Press, Cambridge
12. Cundall PA, Strack OD (1979) A discrete numerical model for granular assemblies. Geotechnique 29(1):47–65
13. Deen NG, van Sint Annaland M, van der Hoef MA, Kuipers JAM (2007) Review of discrete
particle modeling of fluidized beds. Chem Eng Sci 62(1–2):28–44
14. Enwald H, Peirano E, Almstedt AE (1996) Eulerian two-phase flow theory applied to
fluidization. Int J Multiphase Flow 22:21–66
15. Ergun S (1952) Fluid flow through packed columns. Chem Eng Prog 48:89–94
16. Farzaneh M, Almstedt A-E, Johnsson F, Pallarès D, Sasic S (2015) The crucial role of frictional
stress models for simulation of bubbling fluidized beds. Powder Technol 270:68–82
17. Foerster SF, Louge MY, Chang H, Allia K (1994) Measurements of the collision properties of
small spheres. Phys Fluids 6(3):1108–1115
18. Gidaspow D (1994) Multiphase flow and fluidization: continuum and kinetic theory descriptions. Academic press, New York
19. Gidaspow D, Bezburuah R, Ding J (1991) Hydrodynamics of circulating fluidized beds: kinetic
theory approach. In: Proceedings of 7th Engineering Foundation Conference on Fluidization,
Brisbane, pp 75–82
20. Goldschmidt M, Beetstra R, Kuipers JAM (2002) Hydrodynamic modelling of dense gasfluidised beds: comparison of the kinetic theory of granular flow with 3D hard-sphere discrete
particle simulations. Chem Eng Sci 57(11):2059–2075
21. Goniva C, Kloss C, Deen NG, Kuipers JAM, Pirker S (2012) Influence of rolling friction on
single spout fluidized bed simulation. Particuology 10(5):582–591
22. Grace J, Taghipour F (2004) Verification and validation of CFD models and dynamic similarity
for fluidized beds. Powder Technol 139(2):99–110
23. Hernández-Jiménez F, Sánchez-Delgado S, Gómez-García A, Acosta-Iborra A (2011) Comparison between two-fluid model simulations and particle image analysis & velocimetry (PIV)
results for a two-dimensional gas–solid fluidized bed. Chem Eng Sci 66(17):3753–3772
24. Jackson R (2000) The dynamics of fluidized particles. Cambridge University Press, Cambridge
25. Jenkins JT, Zhang C (2002) Kinetic theory for identical, frictional, nearly elastic spheres. Phys
Fluids 14(3):1228–1235
26. Jop P, Forterre Y, Pouliquen O (2006) A constitutive law for dense granular flows. Nature
441(7094):727–730
27. Kawaguchi T, Miyoshi A, Tanaka T, Tsuji Y (2001) Discrete particle analysis of 2D pulsating
fluidized bed. In: Proceedings of 4th International Conference on Multiphase Flow, New
Orleans, #838
28. Kuipers JAM, van Duin KJ, van Beckum FPH, van Swaaij WPM (1992) A numerical model
of gas-fluidized beds. Chem Eng Sci 47(8):1913–1924
29. Kunii D, Levenspiel O (2013) Fluidization engineering, 2nd edn. Butterworth-Heinemann,
Boston
4 Modelling Dynamically Structured Fluidisation
6. Che Y, Tian Z, Liu Z, Zhang R, Gao Y, Zou E, Wang S, Liu B (2015) CFD prediction of scale-up
effect on the hydrodynamic behaviors of a pilot-plant fluidized bed reactor and preliminary
exploration of its application for non-pelletizing polyethylene process. Powder Technol 278:94–
110
7. Chialvo S, Sun J, Sundaresan S (2012) Bridging the rheology of granular flows in three regimes.
Phys Rev E 85(2):021305
8. Chialvo S, Sundaresan S (2013) A modified kinetic theory for frictional granular flows in dense
and dilute regimes. Phys Fluids 25(7):070603
9. Coppens M-O, Regelink MA, van den Bleek CM (2002) Pulsation induced transition from
chaos to periodically ordered patterns in fluidised beds. In: Proceedings of 4th World Congress
on Particle Technology (WCPT), Sydney, pp 1–8
10. Courant R, Friedrichs K, Lewy H (1967) On the partial difference equations of mathematical
physics. IBM J 11(2):215–234
11. Cross M, Greenside H (2009) Pattern formation and dynamics in nonequilibrium systems.
Cambridge University Press, Cambridge
12. Cundall PA, Strack OD (1979) A discrete numerical model for granular assemblies. Geotechnique 29(1):47–65
13. Deen NG, van Sint Annaland M, van der Hoef MA, Kuipers JAM (2007) Review of discrete
particle modeling of fluidized beds. Chem Eng Sci 62(1–2):28–44
14. Enwald H, Peirano E, Almstedt AE (1996) Eulerian two-phase flow theory applied to
fluidization. Int J Multiphase Flow 22:21–66
15. Ergun S (1952) Fluid flow through packed columns. Chem Eng Prog 48:89–94
16. Farzaneh M, Almstedt A-E, Johnsson F, Pallarès D, Sasic S (2015) The crucial role of frictional
stress models for simulation of bubbling fluidized beds. Powder Technol 270:68–82
17. Foerster SF, Louge MY, Chang H, Allia K (1994) Measurements of the collision properties of
small spheres. Phys Fluids 6(3):1108–1115
18. Gidaspow D (1994) Multiphase flow and fluidization: continuum and kinetic theory descriptions. Academic press, New York
19. Gidaspow D, Bezburuah R, Ding J (1991) Hydrodynamics of circulating fluidized beds: kinetic
theory approach. In: Proceedings of 7th Engineering Foundation Conference on Fluidization,
Brisbane, pp 75–82
20. Goldschmidt M, Beetstra R, Kuipers JAM (2002) Hydrodynamic modelling of dense gasfluidised beds: comparison of the kinetic theory of granular flow with 3D hard-sphere discrete
particle simulations. Chem Eng Sci 57(11):2059–2075
21. Goniva C, Kloss C, Deen NG, Kuipers JAM, Pirker S (2012) Influence of rolling friction on
single spout fluidized bed simulation. Particuology 10(5):582–591
22. Grace J, Taghipour F (2004) Verification and validation of CFD models and dynamic similarity
for fluidized beds. Powder Technol 139(2):99–110
23. Hernández-Jiménez F, Sánchez-Delgado S, Gómez-García A, Acosta-Iborra A (2011) Comparison between two-fluid model simulations and particle image analysis & velocimetry (PIV)
results for a two-dimensional gas–solid fluidized bed. Chem Eng Sci 66(17):3753–3772
24. Jackson R (2000) The dynamics of fluidized particles. Cambridge University Press, Cambridge
25. Jenkins JT, Zhang C (2002) Kinetic theory for identical, frictional, nearly elastic spheres. Phys
Fluids 14(3):1228–1235
26. Jop P, Forterre Y, Pouliquen O (2006) A constitutive law for dense granular flows. Nature
441(7094):727–730
27. Kawaguchi T, Miyoshi A, Tanaka T, Tsuji Y (2001) Discrete particle analysis of 2D pulsating
fluidized bed. In: Proceedings of 4th International Conference on Multiphase Flow, New
Orleans, #838
28. Kuipers JAM, van Duin KJ, van Beckum FPH, van Swaaij WPM (1992) A numerical model
of gas-fluidized beds. Chem Eng Sci 47(8):1913–1924
29. Kunii D, Levenspiel O (2013) Fluidization engineering, 2nd edn. Butterworth-Heinemann,
Boston