Stochastic models for transport in a fluidized bed

SIAM Journal on Applied Mathematics

Volumn 60, Issue 1, 1999, Pages 337-358

  Dehling, H G ^a   Hoffmann, A C ^a   Stuut, H W ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CHEMICAL REACTORS; COMPUTATIONAL METHODS; FLUIDIZED BEDS; MARKOV PROCESSES; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE SIZE ANALYSIS; THERMAL DIFFUSION IN GASES; TRANSPORT PROPERTIES;

DIFFUSION APPROXIMATION METHOD; RESIDENCE TIME DISTRIBUTION (RTD);

PARTICLES (PARTICULATE MATTER);

EID: 0343628722     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139996306316     Document Type: Article

References (22)

1. F. BERRUTI, A.G. LIDEN, AND D.S. SCOTT, Measuring and modelling residence time distribution of low density solids in a fluidized bed reactor of sand particles, Chem. Engrg. Sci., 43 (1988), pp. 739-748.
2. R.N. BHATTACHARYA AND E.C. WAYMIRE, Stochastic Processes with Applications, John Wiley, New York, 1990.
3. A.R. DABROWSKI AND H.G. DEHLING, Jump diffusion approximation for a Markovian transport model, in Asymptotic Mathods in Probability and Statistics, B. Szyszkowicz, ed., Elsevier Science, North-Holland, Amsterdam, 1998, pp. 115-125.
4. D. GELDART, The effect of particle size and size distribution on the behaviour of gas-fluidized beds, Powder Tech., 6 (1972), pp. 201-215.
5. A.K. HAINES, R.P. KING, AND E.T. WOODBURN, The interrelationship between bubble motion and solids mixing in a gas fluidized bed, AIChE J., 18 (1972), pp. 591-599.
6. G.J. HARTHOLT, Particle mixing in gas fluidized beds, Ph.D. thesis, Department of Chemical Engineering, University of Groningen, Groningen, The Netherlands, 1996.
7. P.M. HEERTJES, L.H. DE NIE, AND J. VERLOOP, Transport and residence time of particles in a shallow fluidized bed, in Proceedings of the International Symposium on Fluidization, A.A.H. Drinkenburg, ed., Eindhoven, The Netherlands, Netherlands University Press, Amsterdam, 1967.
8. A.C. HOFFMANN AND H. PAARHUIS, A study of the particle residence time distribution in continuous fluidized beds, I. Chem. E. Sympos. Ser., 121 (1990), pp. 37-49.
9. A.C. HOFFMANN, L.P.B.M. JANSSEN, AND J. PRINCE, Particle segregation in fluidized binary mixtures, Chem. Engrg. Sci., 48 (1993), pp. 1583-1592.
10. E. KLOSE AND W. HESCHEL, (1985). Zur Messung der Partikelverweilzeitverteilung in Wirbelschichten mit Gas-Feststoff-Reaktion, Chem. Techn., 37 (1985), pp. 149-152.
11. K. KRISHNAIAH, Y. PYDISETTY, AND Y.B.G. VARMA, Residence time distribution of solids in multistage fluidization, Chem. Engrg. Sci., 37 (1982), pp. 1371-1377.
12. R. LA RIVIÉRE, G.P. HARTHOLT, A.C. HOFFMANN, AND L.P.B.M. JANSSEN, Methods for the determination of particle residence time distribution in continuous gas fluidized beds, I. Chem. E. Sympos. Ser., 140 (1996), pp. 283-294.
13. L. MASSIMILLA AND S. BRACALE, Il mescolamento della fase solida nei sistemi: Solido-gas fluidizzati, liberi e frenati, La Ricerca Scientifica, 27 (1957), pp. 1509-1526.
14. D.R. MORRIS, K.E. GUBBINS, AND WATKINS, Residence time studies in fluidized and moving beds with continuous solids flow, Trans. Inst. Chem. Engrs., 42 (1964), pp. T323-T333.
15. F. PUDEL, M. STRÜMKE, AND U. SÜNDERMANN, Untersuchung des Partikelverweilzeitverhaltens in Gas-Feststoff-Wirbelrinnen, Wiss. Z. Tech. Hochsch. Magdeburg, 30 (1986), pp. 51-53.
16. R.D. RICHTMYER AND K.W. MORTON, Difference Methods for Initial-Value Problems, John Wiley, New York, 1967.
17. P.N. ROWE AND B.A. PARTRIDGE, Particle movement caused by bubbles in a fluidized bed, in Interaction Between Fluids & Particles, Inst. Chem. Engrs., London, 1962, pp. 135-142.
18. G. TRIPATHI, G.N. PANDEY, AND P.C. SINGH, Residence time distribution studies on different systems: Derivation of a generalized correlation, Indian J. Tech., 9 (1971), pp. 281-284.
19. J. VERLOOP, L.H. DE NIE, AND P.M. HEERTJES, The residence time of solids in gas-fluidized beds, Powder Tech., 2 (1968/69), pp. 32-42.
20. B. WEBER AND K. ROSE, Mathematische Modelliering von Wirbelschichten, Chem. Techn., 22 (1970), pp. 594-596.
21. J. WERTHER, Influence of the bed diameter on the hydrodynamics of gas fluidized beds, AIChE Sympos. Ser., 70 (1974), pp. 53-62.
22. K. WHITTMANN, D. WIPPERN, H. SCHLINGMANN, H. HELMRICH, AND K. SCHÜGERL, Solid particle mixing in a continuously operated fluidized bed reactor, Chem. Engrg. Sci., 38 (1983), pp. 1391-1397.