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Chemical and Biochemical Engineering Quarterly, Vol. 23 No. 2, 2009.

Original scientific paper

Application of the QMOM in Research on the Behavior of Solid-liquid Suspensions

M. Lemanowicz ; Department of Chemical and Process Engineering, Faculty of Chemistry Silesian University of Technology, ul. Ks. M. Strzody 7, 44-100 Gliwice, Poland
M. H. Al-Rashed ; The Public Authority for Applied Education and Training, College of Technological Studies, Department of Chemical Engineering, Kuwait
A. T. Gierczycki ; Department of Chemical and Process Engineering, Faculty of Chemistry Silesian University of Technology, ul. Ks. M. Strzody 7, 44-100 Gliwice, Poland
J. Kocurek ; Department of Chemical and Process Engineering, Faculty of Chemistry Silesian University of Technology, ul. Ks. M. Strzody 7, 44-100 Gliwice, Poland

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Abstract

The population balance equation (PBE) is a continuity statement written in terms of the number density function. It describes, among others, the aggregation-breakage, nucleation and particle growth phenomena in solid-liquid suspensions. Fast and computationally
inexpensive methods for solving the PBE are very much in demand today for computational fluid dynamics (CFD) simulations, industrial plants designs or scientific research. The Class Method (CM), Monte Carlo method (MC), method of moments (MOM) and its derivatives are the most popular solutions. In this work application of the Mathcad softwarefor the quadrature method of moments (QMOM) is shown. The Mathcad allows one to create a simple and clear algorithm which can be easily changed according to the user
needs, e.g. in modification of an aggregation kernel mathematical formula. The program written can be readily run on a standard PC computer. To verify a correctness of calculations the appropriate measurements were made and an efficiency of the program created
was compared with another one written in the Turbo Pascal language.

Keywords

Aggregation; breakage; population balance equation (PBE); particle size distribution (PSD), quadrature method of moments (QMOM); Mathcad

Hrčak ID:

38315

URI

https://hrcak.srce.hr/38315

Publication date:

30.6.2009.

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