Bivariate direct quadrature method of moments for coagulation and sintering of particle populations

Journal of Aerosol Science

Volumn 37, Issue 11, 2006, Pages 1562-1580

  Fox, R O ^a  

^a Iowa State University of Science and Technology   (United States)

Author keywords

Bivariate population balance; Coagulation; Direct quadrature method of moments; Sintering

Indexed keywords

APPROXIMATION THEORY; COAGULATION; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; SET THEORY;

BIVARIATE MOMENT; BIVARIATE POPULATION BALANCE; DIRECT QUADRATURE METHOD OF MOMENTS;

METHOD OF MOMENTS;

COAGULATION; SINTER;

ARTICLE; DIRECT QUADRATURE METHOD OF MOMENT; MULTIVARIATE ANALYSIS; PRIORITY JOURNAL;

EID: 33750371362     PISSN: 00218502     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jaerosci.2006.03.005     Document Type: Article

References (22)

1. Diemer R.B., and Ehrman S.H. Pipeline agglomerator design as a model test case. Powder Technology 156 (2005) 129-145
2. Diemer, R. B., & Olson, J. H. (2006). Bivariate moment methods for simultaneous coagulation, coalescence and breakup. Journal of Aerosol Science, 37, in press.
3. Fan R., Marchisio D.L., and Fox R.O. Application of the direct quadrature method of moments to polydisperse gas-solid fluidized beds. Powder Technology 139 (2004) 7-20
4. Fox R.O. Computational models for turbulent reacting flows (2003), Cambridge University Press, Cambridge
5. Hindmarsh, A. C. (1983). ODEPACK, a systematized collection of ODE solvers. In Scientific computing. Amsterdam: North-Holland.
6. Koch W., and Friedlander S.K. The effect of particle surface coalescence on the surface area of a coagulating aerosol. Journal of Colloid and Interface Science 140 (1990) 419-427
7. Marchisio D.L., and Fox R.O. The direct quadrature method of moments for multivariate population balance equations. Journal of Aerosol Science 36 (2005) 43-73
8. Marchisio D.L., Pikturna J., Fox R.O., Vigil R.D., and Barresi A.A. Quadrature method of moments for population balances. AIChE Journal 49 (2003) 1266-1276
9. Marchisio D.L., Vigil R.D., and Fox R.O. Quadrature method of moments for aggregation-breakage processes. Journal of Colloid and Interface Science 258 (2003) 322-334
10. McGraw R. Description of aerosol dynamics by the quadrature method of moments. Aerosol Science and Technology 27 (1997) 255-265
11. McGraw R., and Wright D.L. Chemically-resolved aerosol dynamics for internal mixtures by the quadrature method of moments. Journal of Aerosol Science 34 (2003) 189-209
12. Piskunov V.N., and Golubev A.I. Treatment of size-dependent aerosol transport processes using quadrature based moment methods. Journal of Aerosol Science 30 (1999) S451-S452
13. Piskunov V.N., and Golubev A.I. The generalized approximation method for modeling coagulation kinetics-Part 1: Justification and implementation of the method. Journal of Aerosol Science 33 (2002) 51-62
14. Pope S.B. Turbulent flows (2000), Cambridge University Press, Cambridge
15. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical recipes in Fortran 77 (1992), Cambridge University Press, Cambridge
16. Tandon P., and Rosner D.E. Monte Carlo simulation of particle aggregation and simultaneous restructuring. Journal of Colloid and Interface Science 213 (1999) 273-286
17. Upadhyay, R. R., & Ezekoye, O. A. (2006). Treatment of size-dependent aerosol transport processes using quadrature based moment methods. Journal of Aerosol Science, 37, in press.
18. Wang L., and Fox R.O. Comparison of micromixing models for CFD simulation of nanoparticle formation by reactive precipitation. AIChE Journal 50 (2004) 2217-2232
19. Wright D.L., McGraw R., and Rosner D.E. Bivariate extension of the quadrature method of moments for modeling simultaneous coagulation and sintering of particle populations. Journal of Colloid and Interface Science 236 (2001) 242-251
20. Yoon C., and McGraw R. Representation of generally mixed multivariate aerosols by the quadrature method of moments: I. Statistical foundation. Journal of Aerosol Science 35 (2004) 561-576
21. Yoon C., and McGraw R. Representation of generally mixed multivariate aerosols by the quadrature method of moments: II. Aerosol dynamics. Journal of Aerosol Science 35 (2004) 577-598
22. Zucca A., Marchisio D.L., Barresi A.A., and Fox R.O. Implementation of the population balance equation in CFD codes for modelling soot formation in turbulent flames. Chemical Engineering Science 61 (2006) 87-95