Estimation of flotation kinetic parameters by considering interactions of the operating variables

Cilek, Emin Cafer

doi:10.1016/j.mineng.2003.10.008

Cited by 47 publications

(14 citation statements)

References 10 publications

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“…Batch flotation test data in the literature support the first-order rate equation under reasonable operating conditions (Tomlinson & Fleming, 1963;Imaizumi & Inoue, 1965;Harris & Chakravarti, 1970;Jameson et al, 1977;Dowling et al, 1985;Xu, 1998;Agar et al, 1998;Oliveira et al, 2001;Cilek, 2004;Sokolovic et al, 2012). Many models of flotation kinetics were developed, from the deterministic and adsorption models to statistical and stochastic ones, out of which each dealt with another aspect (Brozek et al, 2003;Brozek & Mlynarczykowska, 2006;Kalinowski & Kaula, 1995;.…”

Section: Introductionmentioning

confidence: 91%

“…The results of batch flotation test were fitted by MatLab software because some of the first-order flotation kinetic models are implemented in this tool (Brezani & Zelenak, 2010) In this paper, six different kinetic flotation models: Classical model (Dowling et al, 1985;Agar et al, 1998;Oliveira et al, 2001;Cilek, 2004), Klimpel model (Klimpel, 1980), Kelsall model (Kelsall, 1961), Modified Kelsall model (Jowett, 1974), Gamma model (Loveday, 1966;Imaizumi & Inoue, 1968) and Fully mixed model (Imaizumi & Inoue, 1965) were used to analyze batch flotation results and to optimize the flotation parameters using kinetics models. The following models are summarized in table 1 and tested and analyzed in this paper.…”

Section: Introductionmentioning

confidence: 99%

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A Study of the Optimal Model of the Flotation Kinetics of Copper Slag from Copper Mine BOR

Stanojlovic

Sokolović

2014

Archives of Mining Sciences

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In this study the effect of mixtures of copper slag and flotation tailings from copper mine Bor, Serbia on the flotation results of copper recovery and flotation kinetics parameters in a batch flotation cell has been investigated.By simultaneous adding old flotation tailings in the ball mill at the rate of 9%, it is possible to increase copper recovery for about 20%. These results are compared with obtained copper recovery of pure copper slag.The results of batch flotation test were fitted by MatLab software for modeling the first-order flotation kinetics in order to determine kinetics parameters and define an optimal model of the flotation kinetics. Six kinetic models are tested on the batch flotation copper recovery against flotation time. All models showed good correlation, however the modified Kelsall model provided the best fit.Keywords: copper slag, flotation tailings, flotation kinetics, first-order, model, MatLab W pracy badano wpływ mieszanin żużla miedziowego i odpadów poflotacyjnych w kopalni miedzi Bor na efektywność odzysku miedzi na drodze flotacji oraz parametry kinetyki flotacji w urządzeniu do flotacji pracującego w trybie cyklicznym.Poprzez równoczesne wprowadzenie starych odpadów poflotacyjnych rozdrobnionych w młynie kulowym w ilości 9%, możliwe jest podniesienie poziomu odzysku miedzi o około 20%. Wyniki te porównać można z poziomem odzysku miedzi z czystego żużla.Wyniki badań flotacji porcji wsadu zostały dopasowane przy użyciu oprogramowania MatLab do modelowania kinetyki flotacji (model pierwszego rzędu) w celu określenia parametrów kinetycznych i dla zdefiniowania optymalnego modelu kinetyki procesu flotacji. Przebadano sześć modeli kinetyki, analizując wielkość odzysku miedzi ze wsadu w stosunku do czasu flotacji. Wszystkie modele wykazywały dużą korelację, a najlepsze dopasowanie wykazywał zmodyfikowany model Kelsalla.Słowa kluczowe: żużel miedziowy, odpady poflotacyjne, kinetyka flotacji, model pierwszego rzędu, MatLab

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Section: Introductionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

A Study of the Optimal Model of the Flotation Kinetics of Copper Slag from Copper Mine BOR

Stanojlovic

Sokolović

2014

Archives of Mining Sciences

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“…Batch flotation test data in the literature support the first-order rate equation under reasonable operating conditions (Agar, Chia, & Requis, 1998;Çilek, 2004;Dowling, Klimpel, & Aplan, 1985;Harris & Chakravarti, 1970;Jameson, Nam, & Young, 1977;Mauzimi & Inoue, 1963;Oliveira, Saraiva, Pimenta, & Oliveira, 2001;Wills & Napier-Munn, 2006). A modified first-order rate equation of the form:…”

Section: Introductionmentioning

confidence: 84%

A study on the effect of particle size on coal flotation kinetics using fuzzy logic

Abkhoshk

Kor

Rezai

2010

Expert Systems with Applications

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“…From the results of combustible recovery as a function of time, the kinetic constant was determined by linear regression from the solution of eq. (16) for n = 1, given by (27).…”

Section: Validation Of the Flotation Rate New Mathematical Model For mentioning

confidence: 99%

“…Cilek [27] found a statistical model represented by eq. (14) for the flotation rate constant as a function of the airflow rate (x1), the froth thickness (x2) and the feed grade (x3), with a-g coefficients.…”

Section: Introductionmentioning

confidence: 99%

A new mathematical model for coal flotation kinetics

Guerrero¹,

Barraza-Burgos²

2017

DYNA

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This study describes the development and formulation of a novel mathematical model for coal flotation kinetic. The flotation rate was considered as a function of chemical, operating and petrographic parameters for a global flotation order n. The equation for flotation rate was obtained by dimensional analysis using the Rayleigh method. It shows the dependency of flotation kinetic on operating parameters, such as air velocity and particle size; chemical parameters, such as reagents dosage and solids content; and mineral and maceral composition of coal. The flotation rate equation integrates the kinetic coefficient and the intrinsic characteristics of coal with dimensional consistency, and it is expressed by three dimensionless numbers which have physical chemical meaning. The model also exhibits similarities with traditional transport phenomena models represented by dimensionless numbers and predicts the flotation kinetic constant of a Colombian coal sample showing a good correlation between experimental and calculated values.Keywords: coal flotation; flotation rate; kinetic model. Un nuevo modelo matemático para la cinética de flotación de carbonesResumen Este estudio describe el desarrollo y formulación de un nuevo modelo matemático para la cinética de flotación de carbón. La velocidad de flotación se considera una función de parámetros químicos, operacionales y petrográficos para la flotación global de orden n. La ecuación de velocidad de flotación se obtuvo por análisis dimensional usando el método de Rayleigh. Este método muestra la dependencia de la cinética de flotación sobre los parámetros de operación tales como velocidad del aire y tamaño de partícula; parámetros químicos tales como dosis de reactivos y contenidos de sólidos; y composición mineral y maceral del carbón. La ecuación de velocidad de flotación integra el coeficiente cinético y las características intrínsecas del carbón con consistencia dimensional, y se expresa por tres números adimensionales que tienen significado químico físico. El modelo también muestra similitudes con los modelos tradicionales de fenómenos de transporte representados por números adimensionales y predice la constante cinética de flotación de un carbón Colombiano mostrando buena correlación entre los valores experimentales y calculados.Palabras clave: flotación de carbón; tasa de flotación; modelo cinético.

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Estimation of flotation kinetic parameters by considering interactions of the operating variables

Cited by 47 publications

References 10 publications

A Study of the Optimal Model of the Flotation Kinetics of Copper Slag from Copper Mine BOR

A Study of the Optimal Model of the Flotation Kinetics of Copper Slag from Copper Mine BOR

A study on the effect of particle size on coal flotation kinetics using fuzzy logic

A new mathematical model for coal flotation kinetics

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