A parametric investigation of gas-particle flow in a vertical duct

AIChE Journal

Volumn 52, Issue 3, 2006, Pages 940-956

  Liu, Xue ^a   Glasser, Benjamin J ^a  

^a The State University of New Jersey   (United States)

Author keywords

Bifurcation continuation analysis; Fluidization; Gas particle flows; Parametric analysis

Indexed keywords

BIFURCATION/CONTINUATION ANALYSIS; FROUDE NUMBER; GAS-PARTICLE FLOWS; PARAMETRIC ANALYSIS;

BIFURCATION (MATHEMATICS); DRAG; DUCTS; FLUIDIZATION; FLUIDIZED BEDS; KINETIC THEORY; SENSITIVITY ANALYSIS; TRANSITION FLOW; VISCOSITY;

TWO PHASE FLOW;

BIFURCATION (MATHEMATICS); DRAG; DUCTS; FLUIDIZATION; FLUIDIZED BEDS; KINETIC THEORY; SENSITIVITY ANALYSIS; TRANSITION FLOW; TWO PHASE FLOW; VISCOSITY;

EID: 33645575890     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.10704     Document Type: Article

References (61)

1. Kunii D, Levenspiel O. Fluidization Engineering. London, UK: Butterworth-Heinemann; 1991.
2. Sinclair JL, Jackson R. Gas-particle flow in a vertical pipe with particle-particle interactions. AIChE J. 1989;35:1473-1486.
3. Pita JA, Sundaresan S. Gas-solid flow in vertical tubes. AIChE J. 1991;37:1009-1018.
4. Ocone R, Sundaresan S, Jackson R. Gas-particle flow in a duct of arbitrary inclination with particle-particle interactions. AIChE J. 1993;39:1261-1271.
5. Yasuna JA, Moyer HR, Elliott S, Sinclair JL. Quantitative predictions of gas-particle flow in a vertical pipe with particle-particle interactions. Power Technol. 1995;84:23-34.
6. Louge MY, Mastorakos E, Jenkins JT. The role of particle collisions in pneumatic transport. J Fluid Mech. 1991;231:345-359.
7. Dasgupta S, Jackson R, Sundaresan S. Turbulent gas-particle flow in vertical risers. AIChE J. 1994;40:215-228.
8. Dasgupta S, Jackson R, Sundaresan S. Gas-particle flow in vertical pipes with high mass loading of particles. Powder Technol. 1998;116:190-203.
9. Hrenya CM, Sinclair JL. Effects of particle-phase turbulence in gas-solid flows. AIChE J. 1997;43:853-869.
10. Detamore MS, Swanson MA, Frender KR, Hrenya CM. A kinetic-theory analysis of the scale-up of circulating fluidized beds. Powder Technol. 2000;110:210-221.
11. Zhang YH, Reese JM. Particle-gas turbulence interactions in a kinetic theory approach to granular flows. Int J Multiphase Flow 2001;27:1945-1964.
12. Helland E, Occelli R, Tadrist L. Numerical study of cluster formation in a gas-particle circulating fluidized bed. Powder Technol. 2000;110:210-221.
13. Goldschmidt MJV, Kuipers JAM, Swaaij WPMV. Hydrodynamic modelling of dense gas-fluidised beds using the kinetic theory of granular flow: Effect of coefficient of restitution on bed dynamics. Chem Eng Sci. 2001;56:571-578.
14. Li J, Kuipers JAM. Gas-particle interaction in dense gas-fluidized beds. Chem Eng Sci. 2003;58:711-718.
15. Zhou HS, Clamant G, Gauthier D, Lu JD. Lagrangian approach for simulating the gas-particle flow structure in a circulating fluidized bed riser. Int J Multiphase Flow. 2002;28:1801-1821.
16. Anderson TB, Jackson R. A fluid mechanical description of fluidized beds. Equations of motion. Ind Eng Chem Fundam. 1967;6:527-539.
17. Drew DA. Averaged field equations for two-phase media. Stud Appl Math. 1971;50:133-166.
18. Jackson R. Locally averaged equations of motion for a mixture of identical spherical particles and a Newtonian fluid. Chem Eng Sci. 1997;52:2457-2469.
19. Wallis GB. The averaged Bernoulli equation and macroscopic equations of motion for the potential flow of a two-phase dispersion. Int J Multiphase Flow. 1991;17:683-695.
20. Lun CKK, Savage SB, Jeffrey DJ, Chepurniy N. Kinetic theories for granular flow: Inelastic particles in Couette flow and slightly inelastic particles in a general flow field. J Fluid Mech. 1984;140:223-256.
21. Lun CKK. Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres. J Fluid Mech. 1991;233:539-559.
22. Jenkins JT, Savage SB. A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. J Fluid Mech. 1983;130:187-202.
23. Jenkins JT, Richman M. Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks. Phys Fluids. 1985;28:3485-3494.
24. Yerushalmi J, Cankurt N, Geldart D, Liss B. Flow regimes in vertical gas-solid contact system. AIChE Symp Ser. 1978;74:1-13.
25. Bader R, Findlay J, Knowlton T. Circulating Fluidized Bed Technology II. New York, NY: Pergamon; 1988.
26. Nieuwland JJ, van Sint Annaland M, Kuipers JAM, van Swaaij WPM. Hydrodynamic modelling of gas/particle flows in riser reactors. AIChE J. 1996;42:1569-1582.
27. Rhode MJ, Laussmann P. Characterising non-uniformities in gas-particle flow in the riser of a circulating fluidized bed. Powder Technol. 1992;72:277-284.
28. Eduardo JB, Yasuna JA, Sinclair JL. Dilute turbulent gas-solid flow in risers with particle-particle interactions. AIChE J. 1995;41:1375-1388.
29. Goldhirsch I, Zanetti G. Clustering instability in dissipative gases. Phys Rev Lett. 1993;70:1619-1622.
30. Tan ML, Goldhirsch I. Intercluster Interactions in rapid granular shear flows. Phys Fluids. 1997;9:856-869.
31. Tan ML, Goldhirsch I. Rapid granular glows as mesoscopic systems. Phys Rev Lett. 1998;81:3022-3025.
32. Goldhirsch I. Scales and kinetics of granular flows. Chaos. 1999;9:659-672.
33. Wang CH, Jackson R, Sundaresan S. Stability of bounded rapid shear flows of a granular material. J Fluid Mech. 1996;308:31-62.
34. Wang CH, Jackson R, Sundaresan S. Instabilities of fully developed rapid flow of a granular material in a channel. J Fluid Mech. 1997;342:179-197.
35. Gibilaro LG, Foscolo R, Di Felice PU. The influence of gravity on the stability of fluidized beds. Chem Eng Sci. 1986;41:2438-2440.
36. Anderson TB, Jackson R. Fluid mechanical description of fluidized beds. Stability of the state of uniform fluidization. Ind Eng Chem Fundam. 1968;7:12-21.
37. Jackson R. The mechanics of fluidized beds. I: The stability of the state of uniform fluidization. Trans IChemE. 1963;41:13-21.
38. Hirayama O, Tsuzuki T. Linear stability of two-dimensional uniform fluidized beds. Fluid Dyn Res. 1995;15:425-435.
39. Anderson K, Sundaresan S, Jackson R. Instabilities and the formation of bubbles in fluidized beds. J Fluid Mech. 1995;303:327-366.
40. Glasser BJ, Kevrekidism IG, Sundaresan S. One- and two-dimensional travelling wave solutions in gas fluidized beds. J Fluid Mech. 1996;306:183-221.
41. Glasser BJ, Kevrekidism IG, Sundaresan S. Fully developed travelling wave solutions and bubble formation in fluidized beds. J Fluid Mech. 1997;334:157-188.
42. Wilhelm RH, Kwauk M. Fluidization of solid particles. Chem Eng Prog. 1948;44:201-218.
43. Agrawal K, Loezos P, Syamlal M, Sundaresan S. The role of mesoscale structures in rapid gas-solid flows. J Fluid Mech. 2001;445:151-185.
44. Richardson JF, Zaki WN. Sedimentation and fluidization: Part I. Trans IChemE. 1954;32:35-53.
45. Wen CY, Yu HA. Generalized method for predicting the minimum fluidization velocity. AIChE J. 1966;12:610-612.
46. Jonnson PC, Jackson R. Frictional-collisional constitutive relations for granular materials, with application to plane shearing. J Fluid Mech. 1987;176:67-93.
47. Constantinides A. Chemical Engineering Series-Applied Numerical Methods with Personal Computers. New York, NY: McGraw-Hill; 1987.
48. Doedel E, Keller H, Kernevez J. Numerical analysis and control of bifurcation problems. I: Bifurcation in finite dimensions. Int J Bifurc Chaos 1991;1:493-520.
49. Miller A, Gidaspow D. Dense, vertical gas-solid flow in a pipe. AIChE J 1992;38:1801-1815.
50. Mathiesen V, Solberg T, Hjertager BH. An experimental and computational study of multiphase flow behavior in a circulating fluidized bed. Int J Multiphase Flow. 2000;26:387-419.
51. Benyahia A, Arastoopour H, Knowlton TM, Massah H. 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. 2000;112:24-33.
52. Foerster SF, Louge MY, Chang H, Allia K. Measurements of the collision properties of small spheres. Phys Fluids. 1994;6:1108-1115.
53. Koh CJ, Hookham P, Leal LG. An experimental investigation of concentrated suspension flows in a rectangular channel. J Fluid Mech. 1994;266:1-32.
54. Lyon MK, Leal LG. An experimental study of the motion of concentrated suspensions in two-dimensional channel flow. Part 1. Monodisperse systems. J Fluid Mech. 1998;363:25-56.
55. Cody GD, Goldfarb DJ, Storch GV, Norris AN. Particle granular temperature in gas fluidized beds, powder Technol. 1996;87:211-232.
56. Poilashenski W, Chen JJC. Normal solid stress in fluidized beds. Powder Technol. 1997;90:13-23.
57. Sinclair JL. Vertical Transport of Gas and Solids with Radial Solid Density Variations. PhD Dissertation. Princeton, NJ: Princeton University; 1989.
58. Liss ED, Classer BJ. The influence of clusters on the stress in a sheared granular material. Powder Technol. 2001;116:116-132.
59. Sela N, Goldhirsh I. Hydrodynamic equations for rapid flows of smooth inelastic spheres, to Burnette order. J Fluid Mech. 1998;361:41-74.
60. Lun CKK, Savage SB, Montreal Q. The effects of an impact velocity dependent coefficient of restitution on stresses developed by sheared granular material. Acta Mech. 1986;63:15-44.
61. Abramowitz M, Stegun IA. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Applied Math Series 55). Washington, DC: National Bureau of Standards; 1964.