References
141
References
1. Akhavan A, van Ommen JR, Nijenhuis J, Wang XS, Coppens M-O, Rhodes MJ (2008) Improved
drying in a pulsation-assisted fluidized bed. Ind Eng Chem Res 48(1):302–309
2. Aoki KM, Akiyama T (1996) Spontaneous wave pattern formation in vibrated granular
materials. Phys Rev Lett 77(20):4166
3. Bakshi A, Altantzis C, Bershanska A, Stark AK, Ghoniem AF (2018) On the limitations of 2D
CFD for thin-rectangular fluidized bed simulations. Powder Technol 332:114–119
4. Boemer A, Qi H, Renz U (1997) Eulerian simulation of bubble formation at a jet in a twodimensional fluidized bed. Int J Multiphase Flow 23(5):927–944
5. Bougie J, Duckert K (2011) Continuum simulations of shocks and patterns in vertically
oscillated granular layers. Phys Rev E 83(1):011303
6. Bougie J, Kreft J, Swift JB, Swinney HL (2005) Onset of patterns in an oscillated granular
layer: continuum and molecular dynamics simulations. Phys Rev E 71(2):021301
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. Coppens M-O, van Ommen JR (2003) Structuring chaotic fluidized beds. Chem Eng J
96(1):117–124
11. Deen NG, van Sint Annaland M, van der Hoef M, Kuipers JAM (2007) Review of discrete
particle modeling of fluidized beds. Chem Eng Sci 62(1–2):28–44
12. Gidaspow D (1994) Multiphase flow and fluidization: continuum and kinetic theory descriptions. Academic Press, New York
13. Goldman DI, Swift JB, Swinney HL (2004) Noise, coherent fluctuations, and the onset of order
in an oscillated granular fluid. Phys Rev Lett 92(17):174302
14. 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
15. Jackson R (2000) The dynamics of fluidized particles. Cambridge University Press, Cambridge
16. Jop P, Forterre Y, Pouliquen O (2006) A constitutive law for dense granular flows. Nature
441(7094):727–730
17. 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
18. Lu L, Xu J, Ge W, Yue Y, Liu X, Li J (2014) EMMS-based discrete particle method (EMMS–
DPM) for simulation of gas–solid flows. Chem Eng Sci 120:67–87
19. Luding S, Clément E, Rajchenbach J, Duran J (1996) Simulations of pattern formation in
vibrated granular media. Europhys Lett 36(4):247
20. Pannala S, Syamlal M, O’Brien TJ (eds) (2011) Computational Gas-Solids Flows and Reacting
Systems: Theory, Methods and Practice. IGI Global, Hershey
21. Passalacqua A, Marmo L (2009) A critical comparison of frictional stress models applied to
the simulation of bubbling fluidized beds. Chem Eng Sci 64(12):2795–2806
22. Regelink MA (2000) Formation of regular bubble patterns in periodically pulsed gas-solid
fluidized beds. MSc thesis, Delft University of Technology, Delft, The Netherlands
23. Snider D (2001) An incompressible three-dimensional multiphase particle-in-cell model for
dense particle flows. J Comput Phys 170(2):523–549
24. Song C, Wang P, Makse HA (2008) A phase diagram for jammed matter. Nature 453(7195):629
25. Tsuji Y, Kawaguchi T, Tanaka T (1993) Discrete particle simulation of two-dimensional
fluidized bed. Powder Technol 77(1):79–87
141
References
1. Akhavan A, van Ommen JR, Nijenhuis J, Wang XS, Coppens M-O, Rhodes MJ (2008) Improved
drying in a pulsation-assisted fluidized bed. Ind Eng Chem Res 48(1):302–309
2. Aoki KM, Akiyama T (1996) Spontaneous wave pattern formation in vibrated granular
materials. Phys Rev Lett 77(20):4166
3. Bakshi A, Altantzis C, Bershanska A, Stark AK, Ghoniem AF (2018) On the limitations of 2D
CFD for thin-rectangular fluidized bed simulations. Powder Technol 332:114–119
4. Boemer A, Qi H, Renz U (1997) Eulerian simulation of bubble formation at a jet in a twodimensional fluidized bed. Int J Multiphase Flow 23(5):927–944
5. Bougie J, Duckert K (2011) Continuum simulations of shocks and patterns in vertically
oscillated granular layers. Phys Rev E 83(1):011303
6. Bougie J, Kreft J, Swift JB, Swinney HL (2005) Onset of patterns in an oscillated granular
layer: continuum and molecular dynamics simulations. Phys Rev E 71(2):021301
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. Coppens M-O, van Ommen JR (2003) Structuring chaotic fluidized beds. Chem Eng J
96(1):117–124
11. Deen NG, van Sint Annaland M, van der Hoef M, Kuipers JAM (2007) Review of discrete
particle modeling of fluidized beds. Chem Eng Sci 62(1–2):28–44
12. Gidaspow D (1994) Multiphase flow and fluidization: continuum and kinetic theory descriptions. Academic Press, New York
13. Goldman DI, Swift JB, Swinney HL (2004) Noise, coherent fluctuations, and the onset of order
in an oscillated granular fluid. Phys Rev Lett 92(17):174302
14. 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
15. Jackson R (2000) The dynamics of fluidized particles. Cambridge University Press, Cambridge
16. Jop P, Forterre Y, Pouliquen O (2006) A constitutive law for dense granular flows. Nature
441(7094):727–730
17. 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
18. Lu L, Xu J, Ge W, Yue Y, Liu X, Li J (2014) EMMS-based discrete particle method (EMMS–
DPM) for simulation of gas–solid flows. Chem Eng Sci 120:67–87
19. Luding S, Clément E, Rajchenbach J, Duran J (1996) Simulations of pattern formation in
vibrated granular media. Europhys Lett 36(4):247
20. Pannala S, Syamlal M, O’Brien TJ (eds) (2011) Computational Gas-Solids Flows and Reacting
Systems: Theory, Methods and Practice. IGI Global, Hershey
21. Passalacqua A, Marmo L (2009) A critical comparison of frictional stress models applied to
the simulation of bubbling fluidized beds. Chem Eng Sci 64(12):2795–2806
22. Regelink MA (2000) Formation of regular bubble patterns in periodically pulsed gas-solid
fluidized beds. MSc thesis, Delft University of Technology, Delft, The Netherlands
23. Snider D (2001) An incompressible three-dimensional multiphase particle-in-cell model for
dense particle flows. J Comput Phys 170(2):523–549
24. Song C, Wang P, Makse HA (2008) A phase diagram for jammed matter. Nature 453(7195):629
25. Tsuji Y, Kawaguchi T, Tanaka T (1993) Discrete particle simulation of two-dimensional
fluidized bed. Powder Technol 77(1):79–87