On the solution of population balance equations by discretization - III. Nucleation, growth and aggregation of particles

Chemical Engineering Science

Volumn 52, Issue 24, 1997, Pages 4659-4679

  Kumar, Sanjeev ^a   Ramkrishna, D ^b  

^a PURDUE UNIVERSITY   (United States)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Aggregation; Discretization; Growth; Nucleation; Particles; Population balance

Indexed keywords

AGGLOMERATION; MATHEMATICAL MODELS; NUCLEATION; NUMERICAL METHODS; PARTICLE SIZE ANALYSIS;

DISCRETIZATION TECHNIQUE; POPULATION BALANCE;

PARTICLES (PARTICULATE MATTER);

EID: 0031553395     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(97)00307-2     Document Type: Article

References (16)

1. Baterham, R. J., Hall, J. S. and Barton, G. (1981) Pelletizing kinetics and simulation of full scale balling circuits. Proceedings of the 3rd International Symposium on Agglomeration, Nurnberg, W. Germany, p. A136.
2. David, R., Villermaux, J., Marchal, P. and Klein, J. P. (1991) Crystallization and precipitation engineering - IV. Kinetic model fo adipic acid crystallization. Chem. Engng Sci. 46, 1129-1136.
3. Gelbard, F. (1990) Modeling multicomponent aerosol particle growth by vapor condensation. J. Aerosol Sci. Technol. 12, 399-412.
4. Gelbard, F. and Seinfeld, J. H. (1978) Numerical simulation the dynamic equation for particulate systems, J. Comput. Phys. 28, 357-375.
5. Hounslow, M. J., Ryall, R. L. and Marshall, V. R. (1988) A discretized population balance for nucleation, growth and aggregation. A.I.Ch.E. J 34, (1990) 1821-1832.
6. Kim, Y. P. and Seinfeld, J. H. (1990) Simulation of multicomponent aerosol condensation by moving ectional method. J. Colloids Interface Sci. 135, 185-199.
7. Kostoglou, M. and Karabelas, A. J. (1994) Evaluation of zero order methods for simulating particle coagulation. J. Colloidal Interface Sci. 613, 420-431.
8. Lapidus, L. and Pinder, G. F. (1982) Numerical Solution of Partial Differential Equations in Science and Engineering. Wiley, New York, U.S.A.
9. Marchal, P., David, R., Klein, J. P. and Villermaux, J. (1990) Crystallization and precipitation engineering - 1. An efficient method for solving population balances in crystallization with agglomeration. Chem. Engng Sci. 43, 59-67.
10. Middleton, P. and Brock, J. (1976) Simulation of aerosol kinetics. J. Colloidal Interface Sci. 54, 249-264.
11. Muhr, H., David, R., Villermaux, J. and Jezequel, P. H. (1995) Crystallization and precipitation engineering - V. Simulation of the precipitation of silver bromide octahedral crystals in a double-jet semibatch reactor. Chem. Engng Sci. 50, 345-355.
12. Muhr, H., David, R., Villermaux, J. and Jezequel, P. H. (1996) Crystallization and precipitation engineering - VI. Solving population balance in the case of the precipitation of silver bromide crystals with high primary nucleation rates by using the first order upwind differentiation. Chem. Engng Sci. 51, 309-319.
13. Ramabhadran T. E., Peterson, T. W. and Seinfeld, J. H. (1976) Dynamics of aerosol coagulation and condensation. A.I.Ch.E. J. 22, 840-851.
14. Ramkrishna, D. (1985) The status of population balances. Rev. Chem. Engng 3, 49-95.
15. Kumar, S. and Ramkrishna, D. (1996) On the solution of population balance equations by discretization - I. A. fixed pivot technique. Chem. Engng Sci. 51, 1311-1332.
16. Schiesser, W. E. (1991) The Numerical Method of Lines, Integration of Partial Differential Equations. Academic Press, Inc., Sand Diego, U.S.A.