Modelling and simulation of rougher flotation circuits

Yianatos, J.; Carrasco, Cristián; Bergh, L.; Vinnett, L.; Torres, Ce´sar

doi:10.1016/j.minpro.2012.06.005

Cited by 30 publications

(14 citation statements)

References 16 publications

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“…For continuous flotation processes, mineral recovery can be generally presented by equation (6) (Yianatos et al, 2007;Yianatos, 2012):…”

Section: Kinetic Modelsmentioning

confidence: 99%

“…Kalinowski et al, stated that the most commonly accepted mathematical models of the flotation kinetics are: the model of multi-fractional and fractional one, and the model of gamma floatability distribution. At the same time, the authors suggest triangular distribution for density function of coal particles floatability (Kalinowski et al, 2013).Nevertheless, in spite of many attempts to determine constant k as accurately as possible, and consequently to define the most adequate flotation process model as possible, the generally accepted opinion is that there is no unique model describing flotation kinetics well enough.For continuous flotation processes, mineral recovery can be generally presented by equation (6) (Yianatos et al, 2007;Yianatos, 2012):where: E(t) -residence time distribution function for continuous processes with different mixing characteristics. The rest of the parameters have the same meaning as in equation (5).…”

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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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“…For continuous flotation processes, mineral recovery can be generally presented by equation (6) (Yianatos et al, 2007;Yianatos, 2012):…”

Section: Kinetic Modelsmentioning

confidence: 99%

mentioning

confidence: 99%

Modelling Of Flotation Processes By Classical Mathematical Methods – A Review

Jovanović¹,

Miljanović²

2015

Archives of Mining Sciences

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“…One factor that does limit the size of cells to be used is the requirement for a minimum number of cells in a bank. As the number of cells used in a bank for a given average residence time decreases, the residence time distribution deviates further and further from plug flow, with a deleterious impact on the performance (Yianatos et al, 2012). This effect typically only becomes significant as the number of cells in the bank drop below four or five and is thus not a major constraint on the size of flotation cells, especially given that circuit feed rates are likely to increase given increasing global metals demands and decreasing average head grades.…”

Section: Introductionmentioning

confidence: 99%

The transition from first to zero order flotation kinetics and its implications for the efficiency of large flotation cells

Neethling

Brito-Parada

Hadler

et al. 2019

Minerals Engineering

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“…At the end of the 1990s, a flotation cell with an effective volume of 200 m 3 was developed. In the last two hydrodynamic numbers are established to analyze the hydrodynamics characteristics in Wemco flotation cell Nelson [15] Propose seven important hydrodynamic numbers to scaling up Arbiter [16] summarized 24 dimensionless numbers for mineral processing and chemical engineering Zlokarnik [17] Based on the RTD research to scale up and optimize large flotation cell Yianatos et al [18][19][20]22] Scale-up method of BGRIMM flotation cell based on four scale-up numbers Shen et al [23,24] Kinetic model…”

Section: Introductionmentioning

confidence: 99%

“…The designs of the Wemco and Tank Cell flotation cells are based on the previous hydrodynamic criteria. In recent years, Yianatos et al (2006Yianatos et al ( -2012 calculated the effective mean residence time for the industrial cells from the residence time distribution (RTD) measurements to evaluate the industrial flotation cell [1,[18][19][20][21][22]. The investigation of flotation cells via hydrodynamic and flotation kinetic analysis has become a rising trend.…”

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confidence: 99%

Hydrodynamic and Flotation Kinetic Analysis of a Large Scale Mechanical Agitated Flotation Cell with the Typical Impeller and the Arc Impeller

et al. 2019

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The processing of low grade mineral ores using large scale flotation cells is obviously more advantageous than smaller-scale processing. Large-scale flotation cells have become increasingly important for effective volume scale-up. In this study, the latest and largest flotation cell in China, with an effective volume of 680 m3, is considered. Hydrodynamics and flotation kinetics analyses are conducted using computational fluid dynamics (CFD) simulation. It is demonstrated that the flotation cell with a typical impeller produces suitable hydrodynamics for mineral particles based on analysis of the flow pattern, gas dispersion and solid suspension. The performance of the large-scale flotation cell is studied using hydrodynamic performance parameters. The variation of the performance parameters, such as the power number (Np), the Froude number (Fr), the air flow number (Na), and so on, with the flotation cell volumes, followed trends similar to that of previous cells of a different size, which were proven to be effective for engineering applications. To decrease the detachment of mineral particles, a new type of impeller, for which the impeller plate is a hyperbolic curve, viz. an arc impeller, was developed. Compared with the typical impeller, the arc impeller expands and lifts the low circulating flow, thereby shortening the transportation distance of the mineral particles. The data indicates that kinetic eddy dissipation plays a key role in determining the collision kernel and collision probability profile. The newly designed arc impeller leads to a higher collision probability than the typical impeller, resulting in better flotation performance. This research should aid in the optimization of the structure of the 680 m3 flotation cell.

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Modelling and simulation of rougher flotation circuits

Cited by 30 publications

References 16 publications

Modelling Of Flotation Processes By Classical Mathematical Methods – A Review

Modelling Of Flotation Processes By Classical Mathematical Methods – A Review

The transition from first to zero order flotation kinetics and its implications for the efficiency of large flotation cells

Hydrodynamic and Flotation Kinetic Analysis of a Large Scale Mechanical Agitated Flotation Cell with the Typical Impeller and the Arc Impeller

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