Application of Gaussian cubature to model two-dimensional population balances

Jerzy Robert Bałdyga , Grzegorz Tyl , Mounir Bouaifi

Abstract

One 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.
Author Jerzy Robert Bałdyga (FCPE / DCRED)
Jerzy Robert Bałdyga,,
- Department of Chemical Reactor Engineering and Dynamics
, Grzegorz Tyl (FCPE / DCRED)
Grzegorz Tyl,,
- Department of Chemical Reactor Engineering and Dynamics
, Mounir Bouaifi
Mounir Bouaifi,,
-
Pages85-95
Publication size in sheets0.5
Book 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 EnglishGaussian cubature, population balance, QMOM
Languageen angielski
Score (nominal)0
Publication indicators WoS Citations = 1
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