Collection zone kinetic model for industrial flotation columns

Yianatos, J.; Bucarey, R.; Larenas, J.; Henríquez, F.; Torres, Luis A.

doi:10.1016/j.mineng.2005.01.014

Cited by 34 publications

(12 citation statements)

References 10 publications

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“…Models with continuous distribution of the flotation rate constant describing the discontinuous flotation process can be presented by a general equation (5) (Saleh, 2010;, the rectangular distribution (Runge et al, 2003b;Yianatos et al, 2005bXian-ping et al, 2011;Saleh, 2010), the Weibull distribution , double normal distribution (Ferreira & Loveday, 2000). Additionally, Polat and Chander (2000) in their extensive presentation of the first-order kinetic models involve the possibility of utilization of the triangular and sinusoidal distribution of the flotation process rate constant.…”

Section: Kinetic Modelsmentioning

confidence: 99%

“…Hay (2008) published the advanced model for the optimization of nickel flotation process based on the Kelsall's model, while Welsby et al (2010) have suggested the method for classification of floatable fractions from the lead-zinc ore (wherein they gave their mass contents and the appropriate flotation constant rates) based on the mineral particles size and the liberation degree of galena, and highlighted its significance in developing the Kelsall's and the similar models. The development of discrete flotation models was also a research topic for Runge et al (2003b), Dehghani et al (2011) andSaleh (2010).Models with continuous distribution of the flotation rate constant describing the discontinuous flotation process can be presented by a general equation (5) (Saleh, 2010;, the rectangular distribution (Runge et al, 2003b;Yianatos et al, 2005bXian-ping et al, 2011;Saleh, 2010), the Weibull distribution , double normal distribution (Ferreira & Loveday, 2000). Additionally, Polat and Chander (2000) in their extensive presentation of the first-order kinetic models involve the possibility of utilization of the triangular and sinusoidal distribution of the flotation process rate constant.…”

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confidence: 99%

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Modelling Of Flotation Processes By Classical Mathematical Methods – A Review

Jovanović¹,

Miljanović²

2015

Archives of Mining Sciences

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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.Keywords: flotation, mathematical modelling, empirical models, probabilistic models, population-balance models, kinetic modelsModelowanie 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: flotacja, modelowanie matematyczne, modele empiryczne, modele probabilistyczne, modele równowagi populacji, modele kinetyczne IntroductionThe underlying principles of the flotation process are well established, but, according to the reports from many researchers, it is very hard to create the quantitative predictive models that can be used to simulate the operation of flotation cells in typical industrial circuits. The reason for these difficulties lies in the complexity of the many microprocesses and their mutual interactions influencing overall result, which is the separation of d...

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Section: Kinetic Modelsmentioning

confidence: 99%

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confidence: 99%

Modelling Of Flotation Processes By Classical Mathematical Methods – A Review

Jovanović¹,

Miljanović²

2015

Archives of Mining Sciences

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“…Consider the concentrator plant shown in Figure 1 (2) to (5) were used (Yianatos et al, 2005, andYianatos andHenriquez, 2006). …”

Section: Modelling Of the Plantmentioning

confidence: 99%

“…In total, there are 47 input factors, and uncertainty ranges were taken from Yianatos et al (2005) and Yianatos and Henriquez (2006). The influence of the input factors on the variability of the grade and recovery of Cu and Mo in the final concentrate is analyzed.…”

Section: Sensitivity Analysis To Identify Key Variablesmentioning

confidence: 99%

Retrofitting of Concentration Plants Using Global Sensitivity Analysis

Lucay

Cisternas

Gálvez

2015

12th International Symposium on Process Systems Engineering and 25th European Symposium on Computer Aided Process Engineering

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“…Also, the liquid RTD of industrial flotation columns can be described using a model of less than two perfect mixers in series. However, a better fit has been obtained using a model of one large perfect mixer (residence time τ L ) and two small perfect mixers in series (residence time τ S ) represented by the following equation (Yianatos et al, 2005b), …”

Section: Rtd Modelling Of Pneumatic Flotation Columnsmentioning

confidence: 99%