Modelling of flotation processes by classical mathematical methods – a review

• Autorzy: Jovanovic I. , Miljanovic I.

Identyfikatory

DOI

10.1515/amsc-2015-0059

Warianty tytułu

PL

Modelowanie procesu flotacji przy pomocy klasycznych metod matematycznych – przegląd

• Języki publikacji: EN

Abstrakty

EN

Flotation process modelling is not a simple task, mostly because of the process complexity, i.e. the presence of a large number of variables that (to a lesser or a greater extent) affect the final outcome of the mineral particles separation based on the differences in their surface properties. The attempts toward the development of the quantitative predictive model that would fully describe the operation of an industrial flotation plant started in the middle of past century and it lasts to this day. This paper gives a review of published research activities directed toward the development of flotation models based on the classical mathematical rules. The description and systematization of classical flotation models were performed according to the available references, with emphasize exclusively given to the flotation process modelling, regardless of the model application in a certain control system. In accordance with the contemporary considerations, models were classified as the empirical, probabilistic, kinetic and population balance types. Each model type is presented through the aspects of flotation modelling at the macro and micro process levels.

PL

Modelowanie procesów flotacji nie jest zagadnieniem prostym, głównie z uwagi na skomplikowany charakter samego procesu, czyli znaczną liczbę zmiennych które, w mniejszym lub w większym stopniu, mają wpływ na końcowy wynik procesu separacji cząstek materiału wykorzystującego różnice w ich właściwościach powierzchniowych. Próby stworzenia ilościowego modelu predyktywnego który w sposób pełny opisywałby przemysłowe procesy flotacji podjęto w połowie ubiegłego wieku a badania trwają po dzień dzisiejszy. W artykule przedstawiono przegląd działalności badawczej podejmowanej w celu opracowania modelu procesu flotacji opartego o zasady matematyki klasycznej. Opisu i systematyki modeli flotacji dokonano w oparciu o dostępną literaturę przedmiotu, główny nacisk kładąc na te modele, które wykorzystywane były wyłącznie do analizy procesu flotacji, bez względu na możliwość ich zastosowania także w układach sterowania. Zgodnie z obecnymi założeniami, modele sklasyfikowano jako empiryczne, probabilistyczne, kinetyczne oraz modele równowagi populacji. Każdy model zaprezentowany jest w kontekście modelowania procesu flotacji, z uwzględnieniem skali mikro oraz makro.

Słowa kluczowe

EN

flotation; mathematical modelling; empirical models; probabilistic models; population-balance models; kinetic models

PL

flotacja; modelowanie matematyczne; modele empiryczne; modele probabilistyczne; modele równowagi populacji; modele kinetyczne

• Wydawca: Instytut Mechaniki Górotworu PAN
• Czasopismo: Archives of Mining Sciences
• Rocznik: 2015
• Tom: Vol. 60, no. 4
• Strony: 905--919
• Opis fizyczny: Bibliogr. 86 poz., rys.

Twórcy

autor

Jovanovic I.

• Mining and Metallurgy Institute Bor, Mineral Processing Department, Zeleni Bulevar 35, 19210 Bor, Serbia

autor

Miljanovic I.

• University of Belgrade, Faculty of Mining and Geology, Department of Applied Computing and System Engineering, Djusina 7, 11000 Belgrade, Serbia

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