Simulation, estimation and control of size distribution in aerosol processes with simultaneous reaction, nucleation, condensation and coagulation

Computers and Chemical Engineering

Volumn 26, Issue 7-8, 2002, Pages 1153-1169

  Kalani, Ashish ^a   Christofides, Panagiotis D ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Aerosol processes; Nonlinear control; Nonlinear state estimation; Particle size distribution

Indexed keywords

AEROSOLS; COAGULATION; CONDENSATION; NUCLEATION;

ENERGY BALANCES;

CHEMICAL ENGINEERING;

TITANIUM DIOXIDE;

CONTROL SYSTEM;

AEROSOL; ARTICLE; CHEMICAL REACTION; GEOMETRY; KINETICS; MATHEMATICAL MODEL; MOLECULAR WEIGHT; NONLINEAR SYSTEM; PARTICLE SIZE; POLYMERIZATION; PRESSURE; TEMPERATURE;

EID: 0037104865     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(02)00032-7     Document Type: Article

References (38)

1. Akhtar, M. K., Lipscomb, G. G., & Pratsinis, S. E. (1994). Monte carlo simulation of particle coagulation and sintering. Aerosol Science and Technology, 21, 83-93.
2. Brock, J. R., Kuhn, P. J., & Zehavi, D. (1986). Condensation aerosol formation and growth in a laminar coaxial jet: experimental. Journal of Aerosol Science, 17, 11-22.
3. Chiu, T., & Christofides, P. D. (1999). Nonlinear control of particulate processes. American Institute of Chemical Engineers Journal, 45, 1279-1297.
4. Chiu, T., & Christofides, P. D. (2000). Robust control of particulate processes using uncertain population balances. American Institute of Chemical Engineers Journal, 46, 266-280.
5. Daoutidis, P., & Christofides, P. D. (1995). Dynamic feedforward/out put feedback control of nonlinear processes. Chemical Engineering Science, 50, 1889-2007.
6. Dimitratos, J., Elicabe, G., & Georgakis, C. (1994). Control of emulsion polymerization reactors. American Institute of Chemical Engineers Journal, 40, 1993-2021.
7. Eaton, J. W., & Rawlings, J. B. (1990). Feedback control of chemical processes using on-line optimization techniques. Computers and Chemical Engineering, 14, 469-479.
8. El-Farra, N. H., Chiu, T. Y., & Christofides, P. D. (2001). Analysis and control of particulate processes with input constraints. American Institute of Chemical Engineers Journal, 47, 1849-1865.
9. Frenklach, M., & Harris, S. J. (1987). Dynamic modeling using the method of moments. Journal of Colloid Interface Science, 118, 252-261.
10. Friedlander, S. K. (1977). Smoke, dust, and haze: fundamentals of aerosol behavior. New York: Wiley.
11. Friedlander, S. K. (1983). Dynamics of aerosol formation by chemical reaction. Annals of New York Academy of Science, 83, 354-364.
12. Gelbard, F., Tambour, Y., & Seinfield, J. H. (1980). Sectional representation of simulating aerosol dynamics. Journal of Colloid Interface Science, 68, 363-382.
13. Gelbart, F., & Seinfeld, J. H. (1978). Numerical solution of the dynamic equation for particulate processes. Journal of Computer Physics, 28, 357-375.
14. Hale, J. K., & Verduyn Lunel, S. M. (1993). Introduction to functional differential equations. New York: Springer.
15. Hashemi, R., & Epstein, M. A. (1982). Observability and controllability considerations in crystallization process design. Amercan Institute of Chemical Engineers Symposium Series, 78, 81-190.
16. Hill, P. J., & Ng, K. M. (1995). New discretization procedure for the breakage equation. American Institute of Chemical Engineers Journal, 41, 1204-1216.
17. Hill, P. J., & Ng, K. M. (1996). New discretization procedure for the agglomeration equation. American Institute of Chemical Engineers Journal, 42, 727-741.
18. Hounslow, M. J. (1990). A discretized population balance for continuous systems at steady-state. American Institute of Chemical Engineers Journal, 36, 106-116.
19. Isidori, A. (1989). Nonlinear control systems: an introduction (second ed.). Berlin, Heidelberg: Springer.
20. Kalani, A., & Christofides, P. D. (1999). Nonlinear control of spatially-in homogeneous aerosol processes. Chemical Engineering Science, 54, 2669-2678.
21. Kalani, A., & Christofides, P. D. (2000). Modeling and control of a titania aerosol reactor. Aerosol Science and Technology, 32, 369-391.
22. Kumar, S., & Ramkrishna, D. (1996a). On the solution of population balance equations by discretization - I. A fixed pivot technique. Chemical Engineering Science, 51, 1311-1332.
23. Kumar, S., & Ramkrishna, D. (1996b). On the solution of population balance equations by discretization - II. A moving pivot technique. Chemical Engineering Science, 51, 1333-1342.
24. Landgrebe, J. D., & Pratsinis, S. E. (1990). A discrete sectional model for particulate production by gas phase chemical reaction and aerosol coagulation in the free molecular regime. Journal of Colloid Interface Science, 139, 63-86.
25. Lee, K. W., Chen, H., & Gieseke, J. A. (1984). Log-normally preserving size distribution for Brownian coagulation in the free-molecule regime. Aerosol Science and Technology, 3, 53-62.
26. Mantzaris, N. V., Daoutidis, P., & Srienc, F. (2001). Numerical solution of multivariable cell population balance models. Parts: I, II and III. Computers and Chemical Engineering, 25, 1411-1481.
27. Nicmanis, M., & Hounslow, M. J. (1998). Finite-element methods for steady-state population balance equations. American Institute of Chemical Engineers Journal, 44, 2258-2272.
28. Pratsinis, S. E. (1988). Simultaneous nucleation, condensation, and coagulation in aerosol reactors. Journal of Colloid Interface Science, 124, 416-426.
29. Ramkrishna, D. (1985). The status of population balances. Review of Chemical Engineering, 3, 49-95.
30. Rawlings, J. B., & Ray, W. H. (1987). Emulsion polymerization reactor stability: simplified model analysis. American Institute of Chemical Engineers Journal, 33, 1663-1667.
31. Rawlings, J. B., Miller, S. M., & Witkowski, W. R. (1993). Model identification and control of solution crystallization processes. I&EC Research, 32, 1275-1296.
32. Rohani, S., & Bourne, J. R. (1990). Self-tuning control of crystal size distribution in a cooling batch crystallizer. Chemical Engineering Science, 12, 3457-3466.
33. Semino, D., & Ray, W. H. (1995a). Control of systems described by population balance equations - I. Controllability analysis. Chemical Engineering Science, 50, 1805-1824.
34. Semino, D., & Ray, W. H. (1995b). Control of systems described by population balance equations-II. Emulsion polymerization with constrained control action. Chemical Engineering Science, 50, 1825-1839.
35. Tandon, P., & Rosner, D. E. (1999). Monte carlo simulation of particle aggregation and simultaneous restructuring. Journal of Colloid Interface Science, 213, 273-286.
36. Van Peborgh Gooch, J. R., & Hounslow, M. J. (1996). Monte carlo simulation of size-enlargement machanisms in crystallisation. American Institute of Chemical Engineers Journal, 42, 1864-1874.
37. Williams, M. M. R., & Loyalka, S. K. (1991). Aerosol science: theory and practics. Oxford, UK: Pergamon Press.
38. Xiong, Y., & Pratsinis, S. E. (1991). Gas phase production of particles in resctive turbulent flows. Journal of Aerosol Science, 12, 637-655.