An extended quadrature-based moment method with log-normal kernel density functions

作者: E. Madadi-Kandjani , A. Passalacqua

DOI: 10.1016/J.CES.2015.04.005

关键词:

摘要: Abstract An extended quadrature method of moments (EQMOM) with log-normal kernel density functions is developed in this work, and applied to the solution a population balance equation (PBE) for aggregation breakup, coalescence, condensation problems. The cases one two are studied analytically, existence an analytical shown. A numerical procedure based on work Yuan et al. (2012) adopted address larger number functions. Results reconstructed function (NDF), time evolution zero-order moment mean particle size compared those obtained from rigorous PBE reported by Vanni (2000) breakup. problem concerning coalescence regarding condensation, both solution, also examined. results proposed approach provided EQMOM gamma densities. Satisfactory were distribution. Excellent agreement was observed between approximated total size.

参考文章(55)
Fritz Oberhettinger, Wilhelm Magnus, Raj Pal Soni, Formulas and Theorems for the Special Functions of Mathematical Physics ,(1966)
H.M. Hulburt, S. Katz, Some problems in particle technology: A statistical mechanical formulation Chemical Engineering Science. ,vol. 19, pp. 555- 574 ,(1964) , 10.1016/0009-2509(64)85047-8
L.F.L.R. Silva, R.C. Rodrigues, J.F. Mitre, P.L.C. Lage, Comparison of the accuracy and performance of quadrature-based methods for population balance problems with simultaneous breakage and aggregation Computers & Chemical Engineering. ,vol. 34, pp. 286- 297 ,(2010) , 10.1016/J.COMPCHEMENG.2009.11.005
Roy G. Gordon, Error Bounds in Equilibrium Statistical Mechanics Journal of Mathematical Physics. ,vol. 9, pp. 655- 663 ,(1968) , 10.1063/1.1664624
Lawrence R. Mead, N. Papanicolaou, Maximum entropy in the problem of moments Journal of Mathematical Physics. ,vol. 25, pp. 2404- 2417 ,(1984) , 10.1063/1.526446
Matteo Strumendo, Hamid Arastoopour, Solution of PBE by MOM in finite size domains Chemical Engineering Science. ,vol. 63, pp. 2624- 2640 ,(2008) , 10.1016/J.CES.2008.02.010