Application of Gaussian cubature to model two-dimensional population balances

• Autorzy: Bałdyga J. , Tyl G. , Bouaifi M.

Identyfikatory

DOI

10.1515/cpe-2017-0030

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

crystallization; drop breakage; extraction; Gaussian cubature; population balance; QMOM

PL

krystalizacja; ekstrakcja; kubatura gaussowska; bilans ludności; QMOM

• Wydawca: Komitet Inżynierii Chemicznej i Procesowej Polskiej Akademii Nauk
• Czasopismo: Chemical and Process Engineering
• Rocznik: 2017
• Tom: Vol. 38, nr 3
• Strony: 393--409
• Opis fizyczny: Bibliogr. 20 poz., wykr., tab.

Twórcy

autor

Bałdyga J.

• Warsaw University of Technology, Department of Chemical and Process Engineering, Waryńskiego 1, 00-645 Warsaw, Poland

autor

Tyl G.

• Warsaw University of Technology, Department of Chemical and Process Engineering, Waryńskiego 1, 00-645 Warsaw, Poland

autor

Bouaifi M.

• Centre de Recherche et d’Innovation de Lyon, Solvay, 85 Avenue des Frères Perret, BP 62, 69192 Saint-Fons Cedex, France

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)