Extended method of moment for general population balance models including size dependent growth rate, aggregation and breakage kernels

Computers and Chemical Engineering

Volumn 56, Issue , 2013, Pages 1-11

  Falola, Akinola ^a   Borissova, Antonia ^a   Wang, Xue Zhong ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Aggregation; Breakage; Computational fluid dynamics (CFD); Extended method of moments (EMOM); Population balance equation; Size independent growth

Indexed keywords

AGGREGATION KERNELS; COMPUTATIONAL EFFORT; EXTENDED METHOD OF MOMENTS (EMOM); MOMENT BASED METHOD; PARTICLE AGGREGATION; POPULATION BALANCE EQUATION; POPULATION BALANCES; SIZE INDEPENDENTS;

COAL BREAKAGE; COMPUTATIONAL FLUID DYNAMICS; METHOD OF MOMENTS; POPULATION STATISTICS;

AGGLOMERATION;

EID: 84878511022     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compchemeng.2013.04.017     Document Type: Article

References (30)

1. Ansys Inc. ANSYS FLUENT 12.0: Population Balance Module Manual 2009, 11-November-2011, from https://www.sharcnet.ca/Software/Fluent12/pdf/popbal/flpopbal.pdf.
2. Attarakih M.M., Drumm C., Bart H.J. Solution of the population balance equation using the sectional quadrature method of moments (SQMOM). Chemical Engineering Science 2009, 64(4):742-752.
3. Baldyga J., Orciuch W. Barium sulphate precipitation in a pipe - an experimental study and CFD modelling. Chemical Engineering Science 2001, 56(7):2435-2444.
4. Dahlquist G., Björck Ak. Numerical methods 2003, Dover Publications, Mineola, NY.
5. Diemer R.B., Olson J.H. A moment methodology for coagulation and breakage problems: Part 2 - Moment models and distribution reconstruction. Chemical Engineering Science 2002, 57(12):2211-2228.
6. Flood A.E. Thoughts on recovery particle size distributions from the moment form of the population balance. Developments in Chemical Engineering and Mineral Processing 2002, 10(5-6):501-519.
7. Frenklach M. Method of moments with interpolative closure. Chemical Engineering Science 2002, 57(12):2229-2239.
8. Frenklach M. Modeling particle dynamics with momic 2010.
9. Hounslow M.J., Ryall R.L., Marshall V.R. A discretized population balance for nucleation, growth, and aggregation. AIChE Journal 1988, 34(11):1821-1832.
10. Hulburt H.M., Katz S. Some problems in particle technology - A statistical mechanical formulation. Chemical Engineering Science 1964, 19(8):555-574.
11. Ilievski D., Hounslow M.J. Agglomeration during precipitation. II. Mechanism deduction from tracer data. AIChE Journal 2004, 41(3):525-535.
12. Kumar J. Numerical approximations of population balance equations in particulate systems 2006, PhD, OvG University.
13. Kumar S., Ramkrishna D. On the solution of population balance equations by discretization. 1. A fixed pivot technique. Chemical Engineering Science 1996, 51(8):1311-1332.
14. Lee K.W. Change of particle-size distribution during Brownian coagulation. Journal of Colloid and Interface Science 1983, 92(2):315-325.
15. Lin Y.L., Lee K., Matsoukas T. Solution of the population balance equation using constant-number Monte Carlo. Chemical Engineering Science 2002, 57(12):2241-2252.
16. Marchisio D. Quadrature method of moments for aggregation-breakage processes. Journal of Colloid and Interface Science 2003, 258(2):322-334.
17. Marchisio D.L., Fox R.O. Solution of population balance equations using the direct quadrature method of moments. Journal of Aerosol Science 2005, 36(1):43-73.
18. Marchisio D.L., Pikturna J.T., Fox R.O., Vigil R.D., Barresi A.A. Quadrature method of moments for population-balance equations. AIChE Journal 2003, 49(5):1266-1276.
19. Marchisio D.L., Vigil R.D., Fox R.O. Implementation of the quadrature method of moments in CFD codes for aggregation-breakage problems. Chemical Engineering Science 2003, 58(15):3337-3351.
20. Marchisio D.L., Vigil R.D., Fox R.O. Quadrature method of moments for aggregation-breakage processes. Journal of Colloid and Interface Science 2003, 258:322-334.
21. McGraw R. Description of aerosol dynamics by the quadrature method of moments. Aerosol Science and Technology 1997, 27:255-265.
22. McGraw R., Nemesure S., Schwartz S.E. Properties and evolution of aerosols with size distributions having identical moments. Journal of Aerosol Science 1998, 29(7):761-772.
23. Pope S.B. Probability approach to modeling of turbulent reacting flows. Combustion and Flame 1976, 27(3):299-312.
24. Pratsinis S.E. Simultaneous nucleation condensation, and coagulation in aerosol reactors. Journal of Colloid and Interface Science 1988, 124(2):416-427.
25. Ramkrishna D. Population balances: Theory and applications to particulate systems in engineering 2000, Academic Press, San Diego, CA.
26. Randolph A.D., Larson M.A. Theory of particulate processes; analysis and techniques of continuous crystallization 1971, Academic Press, New York.
27. Sommer M., Stenger F., Peukert W., Wagner N.J. Agglomeration and breakage of nanoparticles in stirred media mills - A comparison of different methods and models. Chemical Engineering Science 2006, 61(1):135-148.
28. White W.H. Particle-size distributions that cannot be distinguished by their integral moments. Journal of Colloid and Interface Science 1990, 135(1):297-299.
29. Yuan C., Laurent F., Fox R.O. An extended quadrature method of moments for population balance equations. Journal of Aerosol Science 2012, 51:1-23.
30. Zhu Z., Dorao C.A., Jakobsen H.A. A least-squares method with direct minimization for the solution of the breakage-coalescence population balance equation. Mathematics and Computers in Simulation 2008, 79(3):716-727.