Quadrature method of moments for poly-disperse flows

CISM International Centre for Mechanical Sciences, Courses and Lectures

Volumn 492, Issue , 2007, Pages 41-77

  Marchisio, Daniele L ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

Multiphase system; Particle velocity; Primary particle; Quadrature approximation; Solid volume fraction

Indexed keywords

EID: 84929725171     PISSN: 02541971     EISSN: 23093706     Source Type: Book Series    
DOI: 10.1007/978-3-211-72464-4_2     Document Type: Chapter

References (42)

1. T. B. Anderson and R. Jackson (1967). A fluid mechanical description of fluidized beds. Industrial & Engineering Chemistry Fundamentals, 6: 527-534.
2. R. Andersson and B. Andersson (2006). On the breakup of fluid particles in turbulent flows. AIChE Journal 52: 2020-2030.
3. J. Baldyga and W. Orciuch (2001). Some hydrodynamic aspects of precipitation. Powder Technology, 121: 9-19.
4. J. C. Barrett and N. A. Webb (1998) A comparison of some approximate methods for solving the aerosol general dynamic equation. Journal of Aerosol Science, 29: 31-39.
5. C. T. Crowe, M. Sommerfeld, and Y. Tsuji (1998). Multiphase flows with droplets and particles. CRC Press, Boca Raton.
6. H. Dette and W. J. Studden (1997). The Theory of Canonical Moments with Applications
7. in Statistics, Probability, and Analysis. Wiley, New York, NY.
8. R. B. Diemer and J. H. Olson (2002). A moment methodology for coagulation and breakage problems: Part 3-Generalized daughter distribution functions. Chemical Engineering Science, 57:4187-4198.
9. J. A. Dirksen and T. A. Ring (1991). Fundamentals of crystallization: kinetics effect of particle size distribution and morphology. Chemical Engineering Science, 46:2389-2427.
10. R. Fan, D. L. Marchisio, R. O. Fox (2004). Application of the direct quadrature method of moments to polydisperse gas-solid fluidized beds. Powder Techonology 139: 7-20.
11. Fluent Inc. (2004) Fluent 6.2 User's Guide. Fluent Inc.: Lebanon, NH.
12. E. Gavi, L. Rivautella, D. L. Marchisio, M. Vanni, A. A. Barresi, and G. Baldi (2007). CFD modelling of nano-particle precipitation in Confined Impinging Jet Reactors. Chemical Engineering Research <& Design, in press.
13. D. Gidaspow (1994). Multiphase Flow andFluidization, Academic Press, Boston, MA.
14. R. G. Gordon (1968). Error bounds in equilibrium statistical mechanics. Journal of Mathematical Physics, 9: 655-667.
15. H. M. Hulburt and S. Katz (1964). Some problems in particle technology. Chemical Engineering Science, 19: 555-574.
16. Z. Jaworski, P. Pianko-Oprych, D. L. Marchisio, and A. W. Nienow (2007). CFD modelling of turbulent drop breakage in a Kenics static mixer and comparison with experimental data. Chemical Engineering Research & Design, in press.
17. C. M. Jones and M. A. Larson (1999). Characterizing growth-rate dispersion of NaN03 secondary nuclQl AIChE Journal, 45: 2128-2135.
18. M. Manninen, V. Taivassalo, and S. KaUio (1996). On the mixture model for multiphase flow. VTT Publications 288, Technical Research Centre of Finland.
19. D. L. Marchisio, A. A. Barresi, and R. O. Fox (2001). Simulation of turbulent precipitation in a semi-batch Taylor-Couette reactor using CFD. AIChE Journal, 47: 664-676.
20. D. L. Marchisio, A. A. Barresi, and M. Garbero (2002). Nucleation, growth, and agglomeration in barium sulfate turbulent precipitation. AIChE Journal, 48: 2039-2050.
21. D. L. Marchisio, J. T. Piktuma, R. O. Fox, R. D. Vigil, and A. A. Barresi (2003). Quadrature method of moments for population balances. AIChE Journal, 49: 1266-1276.
22. D. L. Marchisio, R. D. Vigil, R.D., and R. O. Fox (2003a). Quadrature method of moments for aggregation-breakage processes. Journal of Colloid and Interface Science, 258: 322-334.
23. D. L. Marchisio, R. D. Vigil, and R. O. Fox (2003b). Implementation of the quadrature method of moments in CFD codes for aggregation-breakage problems. Chemical Engineering Science, 58: 3337-3351.
24. D. L. Marchisio and R. O. Fox (2005). Solution of population balance equations using the direct quadrature method of moments. Journal of Aerosol Science, 36: 43-73.
25. D. L. Marchisio, L. Rivautella, and A. A. Barresi (2006). Design and scale-Up of chemical reactors for nanoparticle precipitation. ^/C/z^" Jowma/, 52: 1877-1887.
26. D. L. Marchisio, M. Soos, J. Sefcik, J., and M. Morbidelli (2006a). Role of turbulent shear rate distribution in aggregation and breakage processes. AIChE Journal, 52: 158-173.
27. D. L. Marchisio, M. Soos, J. Sefcik, M. MorbideUi, A. A. Barresi, and G. Baldi (2006b). Effect of fluid dynamics on particle size distribution in particulate processes. Chemical Engineering & Technology, 29: 1-9.
28. R. McGraw (1997). Description of aerosol dynamics by the quadrature method of moments. Aerosol Science Technology, 27: 255-267.
29. V. Oles (1992). Shear-induced aggregation and breakup of polystyrene latex particles. Journal of Colloid and Interface Science, 154: 351-358.
30. S. B. Pope (2000). Turbulent Flows. Cambridge Universiy Press, Cambridge.
31. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery (1992). Numerical Recipes in Fortran 77: The Art of Scientific Computing. Cambridge University Press, Cambridge, UK.
32. D. Ramkrishna (2000). Population balances: theory and applications to particulate systems in engineering. Academic Press. San Diego.
33. D. E. Rosner, and S. Yu (2001). MC simulation of aerosol aggregation and simultaneous ^^hQxoi&\z2it\or\. AIChE Journal, 47: 545-561.
34. P. G. Saffman, and J. S. Turner (1956). On the collision drops in turbulent clouds. Journal of Fluid Mechanics, 1: 16-31.
35. J. Sanyal, D. L. Marchisio, R. O. Fox, and D. Dhanasekharan (2005). On the comparison between population balance models for CFD simulation of bubble columns. Industrial & Engineering Chemistry Research, 44: 5063-5072.
36. C. M. Sorensen (2001). Light scattering by fractal aggregates: A Review. Aerosol Science and Technology, 35: 648-687.
37. S. Valerio, M. Vanni, A. A. Barresi, and G. Baldi (1998). Engineering modelling of turbulent flows in chemical engineering applications. Trends in Chemical Engineering, 5: 1-44.
38. M. H. Waldner, J. Sefcik, M. Soos, and M. Morbidelli (2005). Initial growth kinetics of aggregates in turbulent coagulator. Powder Technology, 156.-226-237.
39. L. Wang, D. L. Marchisio, R. D. Vigil, and R. O. Fox (2005). CFD simulation of aggregation and breakage processes in laminar Taylor-Couette flow. Journal of Colloid and Interface Science, 282, 380-396.
40. A. Zucca (2006) Modelling of turbulence-chemistry interaction and soot formation in turbulent flames. PhD Dissertation. Politecnico di Torino, Torino, IT.
41. A. Zucca, D. L. Marchisio, A. A. Barresi, and R. O. Fox (2006). Implementation of the population balance equation in CFD codes for modelling soot formation in turbulent flames. Chemical Engineering Science, 61: 8 7-95.
42. A. Zucca, D. L. Marchisio, M. Vanni, and A. A. Barresi (2007). Validation of the bivariate DQMOM for nano-particle processes simulation. AIChE Journal, in press.