Heat generation model in the ball-milling process of a tantalum ore

Salguero, Jessica Marcela Mariño; Jorge, J.; Menéndez-Aguado, Juan M.; Álvarez‐Rodríguez, Beatriz; Felipe, J. J. de

doi:10.19150/mmp.7244

Cited by 4 publications

(4 citation statements)

References 41 publications

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“…Figure 4 shows the change in the temperature of the milling ball over time, which was obtained from the internal energy solution using Equation (28). Figure 4a displays numerical data for temperature over a 60-minute period, along with the fitted curve ob-tained by nonlinear regression.…”

Section: Numerical Analysis Results and Discussionmentioning

confidence: 99%

“…Recently, DEM has been extended to encompass the analysis of interparticle contact heat conduction [21,22] and the investigation of fluid-structure interaction (FSI) [23][24][25][26]. However, there is still a lack of research on models for collision-induced heating and convective heat transfer to the ambient environment, both of which are essential for high-energy ball milling analysis [27][28][29]. This paper aims to develop a collision heating model and a convective heat transfer model that can explain the thermomechanical behavior of high-speed collisions of milling balls.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical Modeling of Collisional Heat Generation and Convective Heat Transfer Problem for Single Spherical Body in Oscillating Boundaries

Son

2023

Mathematics

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The application of high-energy ball milling in the field of advanced materials processing, such as mechanochemical alloying and ammonia synthesis, has been gaining increasing attention beyond its traditional use in material crushing. It is important to recognize the role of thermodynamics in high-energy processes, including heat generation from collisions, as well as ongoing investigations into grinding ball behavior. This study aims to develop a mathematical model for the numerical analysis of a spherical ball in a shaker mill, taking into account its dynamics, contact mechanics, thermodynamics, and heat transfer. The complexity of the problem for mathematical modeling is reduced by limiting the motion to one-dimensional translation and representing the vibration of the vial wall in a shaker mill as rigid boundaries that move in a linear fashion. A nonlinear viscoelastic contact model is employed to construct a heat generation model. An equation of internal energy evolution is derived that incorporates a velocity-dependent heat convection model. In coupled field modeling, equations of motion for high-energy impact phenomena are derived from energy-based Hamiltonian mechanics rather than vector-based Newtonian mechanics. The numerical integration of the governing equations is performed at the system level to analyze the general heating characteristics during collisions and the effect of various operational parameters, such as the oscillation frequency and amplitude of the vial. The results of the numerical analysis provide essential performance metrics, including steady-state temperature and time constant for the characteristics of temperature evolution for a high-energy shaker milling process with a computation accuracy of 0.1%. The novelty of this modeling study is that it is the first to obtain such a high accuracy numerical solution for the temperature evolution associated with a shaker mill process.

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Section: Numerical Analysis Results and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Collisional Heat Generation and Convective Heat Transfer Problem for Single Spherical Body in Oscillating Boundaries

Son

2023

Mathematics

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“…Furthermore, the energy consumption resulting from the heat generation due to friction, attrition, and abrasion breakage of the rock charge and rotational motion of the grinding media have not been accurately incorporated in the models because they are not adequately understood. Researchers can use two investigations conducted by Marino-Salguero et al (2017) and Bouchard et al (2018) in this field to calibrate the models. Indeed, the heat losses corresponding to the mentioned phenomena can be detected by tracing three heat flows: radiation and convention around mill shell, enthalpy flows with air, and enthalpy flows with slurry.…”

Section: Models' Descriptionmentioning

confidence: 99%

Modelling the power draw of tumbling mills: A comprehensive review

Golpayegani¹,

Rezai²

2022

Physicochem. Probl. Miner. Process.

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Optimizing power consumption in grinding, the most consumed stage in the mining industry, plays an influential role in reducing operating costs. Obtaining an efficient model to predict tumbling mills' power consumption accurately took the attention of researchers, mineral processing engineers, and tumbling mill manufacturers. This article comprehensively reviews the published mill power models and the most critical studies on this topic since 1919. Furthermore, the employed approaches for modelling the tumbling mills' power draw, the incorporated parameters into the developed models, the models' performances in predicting the industrial mills' power draw, and the potential gaps in the available literature are discussed. Moreover, based on the shortages identified in this review, some recommendations have been made to enhance the modelling mill power draw.

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“…The importance of comminution operations in the mineral processing industry has bolstered in the last decades the search for greater process knowledge. More accurate models have been proposed [1][2][3][4][5][6][7][8][9] with the aim to get a better phenomenological processes description and to overcome the apparent technological barriers related to energy efficiency in grinding operations. In the last decades, considerable work has been done on the optimization of energy consumption in grinding mills using phenomenological grinding kinetics models based on population balance (PB) considerations [10].…”

Section: Introductionmentioning

confidence: 99%

A Study of the Effect of Medium Viscosity on Breakage Parameters for Wet Grinding

et al. 2019

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The rheological behavior of mineral slurries shows the level of interaction or aggregation among particles, being a process control variable in processes such as slurry transportation, dehydration, and wet grinding systems. With the aim to analyze the effect of medium viscosity in wet grinding, a series of monosize grinding ball mill tests were performed to determine breakage parameters, according to the generally accepted kinetic approach of grinding processes. A rheological modifier (polyacrylamide, PAM) was used to modify solutions viscosity. A model was proposed by means of dimensional analysis (Buckingham’s Pi theorem) in order to determine the behavior of the specific breakage rate (Sj) for a ball grinding process in terms of the rheology of the system. In addition to this, a linear adjustment was established for the relationship between specific breakage rates with and without PAM addition, based on the reduced viscosity, μr. Furthermore, within a certain interval of viscosity, it was proved that an increment of viscosity can increase the specific breakage rate, and consequently the grinding degree.

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Heat generation model in the ball-milling process of a tantalum ore

Cited by 4 publications

References 41 publications

Mathematical Modeling of Collisional Heat Generation and Convective Heat Transfer Problem for Single Spherical Body in Oscillating Boundaries

Mathematical Modeling of Collisional Heat Generation and Convective Heat Transfer Problem for Single Spherical Body in Oscillating Boundaries

Modelling the power draw of tumbling mills: A comprehensive review

A Study of the Effect of Medium Viscosity on Breakage Parameters for Wet Grinding

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