Application of Gaussian cubature to model two-dimensional population balances
Jerzy Robert Bałdyga , Grzegorz Tyl , Mounir Bouaifi
AbstractOne of the commonly used approaches for solving population balance equations in chemical engineering applications is the quadrature method of moments, that has been introduced by McGraw (1997) to simulate the course of particulate processes. 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 application of the Gaussian cubature (GC) are presented for two processes typical for chemical engineering applications. The first one represents drop dispersion accompanied by mass transfer in the liquid-liquid dispersions, the second one is devoted to crystallization modeling with directiondependent growth rates.
|Publication size in sheets||0.5|
The 22nd Polish Conference of Chemical and Process Engineering: Proceedings, 2016, Faculty of Process and Environmental Engineering, ISBN 978-83-61997-75-7, 1584 p.
Proceedings OKIChiP 2016.pdf / No licence information (file archived - login or check accessibility on faculty)
|Keywords in English||Gaussian cubature, population balance, QMOM|
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