A functional subgrid drift velocity model for filtered drag prediction in dense fluidized bed

AIChE Journal

Volumn 58, Issue 4, 2012, Pages 1084-1098

  Parmentier, Jean François ^a,b   Simonin, Olivier ^a,b   Delsart, Olivier ^c  

^a UNIVERSITÉ PAUL SABATIER   (France)

^b IMFT   (France)

^c TOTAL   (France)

Author keywords

Computational fluid dynamics (CFD); Fluid mechanics; Fluidization; Mathematical modeling; Multiphase flow

Indexed keywords

BED EXPANSION; COARSE MESHES; COMPUTATIONAL FLUID DYNAMIC (CFD); COMPUTATIONAL TIME; DRAG LAW; DRAG PREDICTION; DRIFT VELOCITIES; FILTER SIZES; FULLY RESOLVED SIMULATIONS; GAS VELOCITY; MATHEMATICAL MODELING; PARTICLE CONCENTRATIONS; PARTICLE PHASE; POSTERIORI; RELATIVE VELOCITY; SUB-GRIDS; TUNING PARAMETER; TWO FLUID MODEL; UNRESOLVED SCALE;

COMPUTATIONAL FLUID DYNAMICS; FLUID MECHANICS; FLUIDIZATION; FLUIDIZED BEDS; MULTIPHASE FLOW; VELOCITY;

COMPUTER SIMULATION;

EID: 84858155335     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.12647     Document Type: Article

References (44)

1. Kunii D, Levenspiel O. Fluidization Engineering. Boston: Butterworth- Heinemann, 1991.
2. Van der Hoef MA, Ye M, van Sint Annaland M, Andrews AT, Sundaresan S, Kuipers JAM. Multiscale modeling of gas-fluidized beds. Adv Chem Eng. 2006; 31: 66.
3. Van der Hoef MA, van Sint Annaland M, Deen NG, Kuipers JAM. Numerical simulation of dense gas-solid fluidized beds: a multiscale modeling strategy. Annu Rev Fluid mech. 2008; 40: 47-70.
4. Balzer G, Boelle A, Simonin O. Eulerian gas-solid flow modelling of dense fluidized bed. Fluidization. 1995; 8: 1125.
5. Ding J, Gidaspow D. A bubbling fluidization model using kinetic theory of granular flow. AIChE J. 1990; 36: 523-538.
6. Gobin A, Neau H, Simonin O, Llinas J, Reiling V, Slo J. Fluid dynamic numerical simulation of a gas phase polymerisation reactor. Int J Numer Meth Fluids. 2003; 43: 1199-1220.
7. Peirano E, Delloume V, Leckner B. Two- or three-dimensional simulations of turbulent gas-solid flows applied to fluidization. Chem Eng Sci. 2001; 56: 4787-4799.
8. Van Wachem BGM, Schouten JC, Van den Bleek CM, Krishna R, Sinclair JL. Comparative analysis of CFD models of dense gas-solid systems. AIChE J. 2001; 47: 1035-1051.
9. Ferschneider G, Mege P. Eulerian simulation of dense phase fluidized beds. Oil Gas Sci Technol. 1996; 51: 301-307.
10. Gao J, Lan X, Fan Y, Chang J, Wang G, Lu C, Xu C. CFD modeling and validation of the turbulent fluidized bed of FCC particles. AIChE J. 2009; 55: 1680-1694.
11. Hosseini SH, Rahimi R, Zivdar M, Samimi A. CFD simulation of gas-solid bubbling fluidized bed containing FCC particles. Kor J Chem Eng. 2009; 26: 1405-1413.
12. Makkawi YT, Wright PC, Ocone R. The effect of friction and inter-particle cohesive forces on the hydrodynamics of gas-solid flow: a comparative analysis of theoretical predictions and experiments. Powder Technol. 2006; 163: 69-79.
13. McKeen T, Pugsley T. Simulation and experimental validation of a freely bubbling bed of FCC catalyst. Powder Technol. 2003; 129: 139-152.
14. Wang J. A review of eulerian simulation of geldart a particles in gas-fluidized beds. Ind Eng Chem Res. 2009; 48: 5567-5577.
15. Zimmermann S, Taghipour F. CFD modeling of the hydrodynamics and reaction kinetics of FCC fluidized-bed reactors. Ind Eng Chem Res. 2005; 44: 9818-9827.
16. Ergun S. Fluid flow through packed columns. Chem Eng Prog. 1952; 48: 89-94.
17. Gibilaro LG, Di Felice R, Waldram SP, Foscolo PU. Generalized friction factor and drag coefficient correlations for fluid-particle interactions. Chem Eng Sci. 1985; 40: 1817-1823.
18. Gidaspow D. Multiphase flow and fluidization: continuum and kinetic theory descriptions. Boston: Academic Press, 1994.
19. Van der Hoef MA, Beetstra R, Kuipers JAM. 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. 2005; 528: 233-254.
20. Syamlal M, O'Brien TJ. Computer Simulation of Bubbles in a Fluidized Bed, in Fluidization and Fluid Particle Systems: Fundamentals and Applications, Ed. L.-S. Fan, AIChE Symposium Series No, 270, 85, 1989: 22-31.
21. Wen CY, Yu YH. Mechanics of fluidization. In: Chem. Eng. Prog. Symp. Ser, vol. 62, 1966: 100-111.
22. Circulating Fluidized Bed Technology IX. Werther J, Nowak W, Wirth K-E, Hartge E-U, editors. Proceedings of the 9th international Conference on Circulating Fluidized Beds, May 13-16, 2008, Hamburg, Germany.
23. Wang J, Van der Hoef MA, Kuipers JAM. Why the two-fluid model fails to predict the bed expansion characteristics of Geldart A particles in gas-fluidized beds: a tentative answer. Chem Eng Sc. 2009; 64: 622-625.
24. Gidaspow D, Bezburuah R, Ding J. Hydrodynamics of circulating fluidized beds: kinetic theory approach. In: Fluidization VII: proceedings of the Seventh Engineering Foundation Conference on Fluidization, May 3-8, 1992, Brisbane, Australia. Amer Inst of Chemical Engineers, 1992: 75.
25. Agrawal K, Loezos PN, Syamlal M, Sundaresan S. The role of meso-scale structures in rapid gas-solid flows. J Fluid Mech. 2001; 445: 151-185.
26. Andrews IVAT, Loezos PN, Sundaresan S. Coarse-grid simulation of gas-particle flows in vertical risers. Ind Eng Chem Res. 2005; 44: 6022-6037.
27. Heynderickx GJ, Das AK, De Wilde J, Marin GB. Effect of clustering on gas-solid drag in dilute two-phase flow. Ind Eng Chem Res. 2004; 43: 4635-4646.
28. Igci Y, Andrews ATIV, Sundaresan S, Pannala S, O'Brien T. Filtered two-fluid models for fluidized gas-particle suspensions. AIChE J. 2008; 54: 1431-1448.
29. Zhang DZ, VanderHeyden WB. The effects of mesoscale structures on the macroscopic momentum equations for two-phase flows. Int J Multiphase Flow. 2002; 28: 805-822.
30. Wang J, Liu Y. Emms-based eulerian simulation on the hydrodynamics of a bubbling fluidized bed with fcc particles. Powder Technol. 2010; 197: 241-246. doi:DOI: 10.1016/j.powtec.2009.09.022.
31. Li J, Kwauk M. Particle-Fluid Two-Phase Flow: the Energy-Minimization Multi-Scale Method. Beijing, P.R. China.: Metallurgical Industry Press, 1994.
32. Wang W, Li JH. 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. 2007; 62: 208-231.
33. Wang J, Ge W, Li J. Eulerian simulation of heterogeneous gas-solid flows in CFB risers: EMMS-based sub-grid scale model with a revised cluster description. Chem Eng Sci. 2008; 63: 1553-1571.
34. Wang J, van der Hoef MA, Kuipers JAM. Coarse grid simulation of bed expansion characteristics of industrial-scale gas-solid bubbling fluidized beds. Chem Eng Sci. 2010; 65: 2125-2131. doi:DOI: 10.1016/j.ces.2009.12.004.
35. Richardson JF, Zaki WN. Sedimentation and fluidisation: part I. Chem Eng Res Des. 1954; 32: 35-53.
36. Smagorinsky J. General circulation experiments with the primitive equations. Monthly Weather Rev. 1963; 91: 99-164.
37. Guelfi A, Bestion D, Boucker M, Boudier P, Pillion P, Grandotto M, Herard J, Hervieu E, Peturaud P. NEPTUNE: a new software platform for advanced nuclear thermal hydraulics. Nuclear Sci Eng. 2007; 156: 281-324.
38. De Wilde J. Reformulating and quantifying the generalized added mass in filtered gas-solid flow models. Phys Fluids. 2005; 17: 113304.
39. De Wilde J. The generalized added mass revised. Phys Fluids. 2007; 19: 058103.
40. Germano M, Piomelli U, Moin P, Cabot WH. A dynamic subgrid-scale eddy viscosity model. Phys Fluids A: Fluid Dyn. 1991; 3: 1760.
41. Lilly DK. A proposed modification of the Germano subgrid-scale closure method. Phys Fluids A: Fluid Dyn. 1992; 4: 633.
42. Boelle A, Balzer G, Simonin O. Second-order prediction of the particle-phase stress tensor of inelastic spheres in simple shear dense suspensions. In: Gas-Particle Flows, vol. 228. ASME FED; 1995: 9-18.
43. Lun CKK, Savage SB. The effects of an impact velocity dependent coefficient of restitution on stresses developed by sheared granular materials. Acta Mechanica. 1986; 63: 15-44.
44. Clark RA, Ferziger JH, Reynolds WC. Evaluation of subgrid-scale models using an accurately simulated turbulent flow. J Fluid Mech. 1979; 91: 1-16.