TY - JOUR N2 - In many systems of engineering interest the moment transformation of population balance is applied. One of the methods to solve the transformed population balance equations is the quadrature method of moments. It is based on the approximation of the density function in the source term by the Gaussian quadrature so that it preserves the moments of the original distribution. In this work we propose another method to be applied to the multivariate population problem in chemical engineering, namely a Gaussian cubature (GC) technique that applies linear programming for the approximation of the multivariate distribution. Examples of the application of the Gaussian cubature (GC) are presented for four processes typical for chemical engineering applications. The first and second ones are devoted to crystallization modeling with direction-dependent two-dimensional and three-dimensional growth rates, the third one represents drop dispersion accompanied by mass transfer in liquid-liquid dispersions and finally the fourth case regards the aggregation and sintering of particle populations. L1 - http://journals.pan.pl/Content/107727/PDF/04-paper.pdf L2 - http://journals.pan.pl/Content/107727 PY - 2017 IS - No 3 EP - 409 DO - 10.1515/cpe-2017-0030 KW - crystallization KW - drop breakage KW - extraction KW - Gaussian cubature KW - population balance KW - QMOM A1 - BaƂdyga, Jerzy A1 - Tyl, Grzegorz A1 - Bouaifi, Mounir PB - Polish Academy of Sciences Committee of Chemical and Process Engineering VL - vol. 38 DA - 2017.09.30 T1 - Application of Gaussian cubature to model two-dimensional population balances SP - 393 UR - http://journals.pan.pl/dlibra/publication/edition/107727 T2 - Chemical and Process Engineering ER -