Solution of population balance equations using the direct quadrature method of moments

Arfken, 1985

Barrett, 1998, A comparison of some approximate methods for solving the aerosol general dynamic equation, Journal of Aerosol Science, 29, 31, 10.1016/S0021-8502(97)00455-2

Dette, 1997

Fan, 2004, Application of the direct quadrature method of moments to polydisperse, gas-solid fluidized beds, Powder Technology, 139, 7, 10.1016/j.powtec.2003.10.005

Fox, 2003

Frenklach, 1987, Aerosol dynamics modeling using the method of moments, Journal of Colloid Interface Science, 118, 252, 10.1016/0021-9797(87)90454-1

Golub, 1996

Gordon, 1968, Error bounds in equilibrium statistical mechanics, Journal of Mathematical Physics, 9, 655, 10.1063/1.1664624

Graybill, 1983

Hindmarsh, A. C. (1983). In R. S. Stepleman et al. (Eds.), ODEPACK, a systematized collection of ODE solvers. Amsterdam.

Hulburt, 1964, Some problems in particle technology, Chemical Engineering Science, 19, 555, 10.1016/0009-2509(64)85047-8

Jones, 2002, Using discrete distributions to analyze CSD data from MSMPR crystallizers, A.I.Ch.E. Journal, 48, 1448, 10.1002/aic.690480709

Laurent, 2001, Multi-fluid modelling of laminar polydisperse spray flames, Combustion Theory & Modeling, 5, 537, 10.1088/1364-7830/5/4/303

Lin, 2000, Digestive ripening, nanophase segregation and superlattice formation in gold nanocrystal colloids, Journal of Nanoparticle Research, 2, 157, 10.1023/A:1010078521951

Mandelbrot, 1983

Marchisio, 2003, Quadrature method of moments for population balances, A.I.Ch.E. Journal, 49, 1266, 10.1002/aic.690490517

Marchisio, 2003, Quadrature method of moments for aggregation-breakage processes, Journal of Colloid & Interface Science, 258, 322, 10.1016/S0021-9797(02)00054-1

Marchisio, 2003, Implementation of the quadrature method of moments in CFD codes for aggregation-breakage problems, Chemical Engineering Science, 58, 3337, 10.1016/S0009-2509(03)00211-2

McGraw, 1997, Description of aerosol dynamics by the quadrature method of moments, Aerosol Science & Technology, 27, 255, 10.1080/02786829708965471

McGraw, 2003, Chemically-resolved aerosol dynamics for internal mixtures by the quadrature method of moments, Journal of Aerosol Science, 34, 189, 10.1016/S0021-8502(02)00157-X

Press, 1992

Ramkrishna, 2000

Randolph, 1987

Rosner, 2003, Multi-variate population balances via moment- and Monte Carlo simulation methods, Industrial Engineering Chemistry Research, 42, 2699, 10.1021/ie020627l

Rosner, 2002, Bivariate moment simulation of coagulation and sintering nanoparticles in flames, A.I.Ch.E. Journal, 48, 476, 10.1002/aic.690480307

Syamlal, M., Rogers, W. & O'Brien, T. J. (1993). MFIX Documentation Theory Guide. Morgantown (West Virginia): U.S. Department of Energy.

Vanni, 2000, Approximate population balance equations for aggregation-breakage processes, Journal of Colloid & Interface Science, 221, 143, 10.1006/jcis.1999.6571

Wang, L., & Fox, R. O. (2004). Comparison of micromixing models for CFD simulation of nanoparticle formation by reactive precipitation. A.I.Ch.E. Journal, Sept., in press.

Williams, 1958, Spray combustion and atomization, Physics of Fluids, 1, 541, 10.1063/1.1724379

Wright, 2001, Bivariate extension of the quadrature method of moments for modeling simultaneous coagulation and sintering of particle populations, Journal of Colloid & Interface Science, 236, 242, 10.1006/jcis.2000.7409

Yoon, 2004, Representation of generally mixed multivariate aerosols by the quadrature method of moments, Journal of Aerosol Science, 35, 561, 10.1016/j.jaerosci.2003.11.003

Zucca, A., Marchisio, D. L., Barresi, A. A., & Fox, R. O. (2004). Implementation of the population balance equation in CFD codes for modelling soot formation in turbulent flames. Proceeding of the second international conference on population balance modelling, 5–7 May 2004, Valencia, Spain.