First-order flotation kinetics models and methods for estimation of the true distribution of flotation rate constants

Polat, Mehmet; Chander, S.

doi:10.1016/s0301-7516(99)00069-1

Cited by 140 publications

(75 citation statements)

References 18 publications

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“…For a first check of the conformity of the response to flotation behavior, the cumulative mass fraction recovered to float for all conditions was fitted to the classical first order kinetics model in the form (Kelly and Spottiswood, 1989;Polat and Chander, 2000):…”

Section: Discussionmentioning

confidence: 99%

Investigation of froth flotation for beneficiation of printed circuit board comminution fines

Ogunniyi

Vermaak

2009

Minerals Engineering

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a b s t r a c tFroth flotation for beneficiation of printed circuit board comminution fines was investigated in this work, via reverse flotation under a scheme described as natural hydrophobic response. With no reagents, the scheme employed variation of kinetic parameters of airflow rate and impeller speed to optimize metallic enrichment of the sink. The impeller energy and aeration rate required to keep the pulp in suspension and avoid excessive turbulence were found to be much lower compared with conventional mineral flotation. The natural hydrophobic response was found to exist, and stable froth was observed even without the use of any frother. It was submitted that the dynamic froth stability observed is due to fine particle stabilization. Mass pulls obtained were high and cumulative mass pull under the varying kinetic regimes were found to fit very well to the general first order kinetics. The extents of fit, the sink enrichment and the recovery in respect of metallic values were assessed to evaluate the beneficiation performance. Many of the metallic elements were found to concentrate into the sink, while some prefer the froth phase. Notably, gold and palladium were among the best recovered to the sink; with about 64% recovery at enrichment ratio of 3.1 (676 ppm actual assay) for Au. The flotation scheme proved effective for PCB comminution fines, and performance improvement also looks very feasible.

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Section: Discussionmentioning

confidence: 99%

Investigation of froth flotation for beneficiation of printed circuit board comminution fines

Ogunniyi

Vermaak

2009

Minerals Engineering

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“…Some sources [3][4][5] state that the classic first-order flotation model is the most widely accepted approach and the model most widely used to optimize the design of a flotation circuit. Although there are numerous mathematical models, most of them are derived from the statement that the flotation follows a first-order kinetic, and some of these models are modified versions of the classic model including other parameters or functions (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…Even studies of different approaches as multi-phase second-order kinetic models [2], concluded that the best fit of the experimental data was observed in first-order kinetic models. The classic flotation model, which relates the kinetics of a chemical reaction to the flotation kinetic, is one of the most applied models [3][4][5] and still constitutes the research base of recent mineral flotation studies published in 2015 -2017 [6][7][8][9][10][11][12]. This model assumes that flotation occurs as a chemical reaction (A + B → C) where the bubble establishes a bond with a solid particle to produce the bubble-particle attachment, as shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

“…Then, the coal flotation kinetic in terms of combustible recovery is given by eq. (5). According to this model, the flotation rate constant can be obtained from a data set of combustible recovery as a function of time, which can be measured in conventional flotation equipment [14].…”

Section: Introductionmentioning

confidence: 99%

“…(6). Despite of the acceptance of this first-order kinetic model, there is an unresolved controversy about the order of the flotation process [5]. Klassen and Mokrousov [15] suggested that the flotation order n most frequently equals 1, less frequently equals 2 and seldom 3 or more.…”

Section: Introductionmentioning

confidence: 99%

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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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Protein Skimming, Flotation, Coagulation and Flocculation

2013

Aquaculture Engineering

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First-order flotation kinetics models and methods for estimation of the true distribution of flotation rate constants

Cited by 140 publications

References 18 publications

Investigation of froth flotation for beneficiation of printed circuit board comminution fines

Investigation of froth flotation for beneficiation of printed circuit board comminution fines

A new mathematical model for coal flotation kinetics

Protein Skimming, Flotation, Coagulation and Flocculation

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