Mathematical simulation of granulation process in a speed granulator

Flisyuk, O. M.; Frolov, V. F.; Shininov, T. N.

doi:10.1134/s0040579517040182

Cited by 2 publications

(6 citation statements)

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Section: Resultssupporting

confidence: 76%

“…The latter, as was found, provides the main factor in the thermal crushing of granules. As is shown, (Figure 1) for a cycle-free process with an internal source of granulation, the experimental values of the differential distribution function of the obtained granules fit well between the distribution curves obtained by calculation according to analytical Dependences (7) and (8). These analytical dependences obtained for the limiting values of the parameter n determine the boundaries for actual particle distribution functions, provided that the kernel of the integrodifferential equation is a constant.…”

Section: Resultssupporting

confidence: 74%

“…Therefore, in order to describe the evolution of the dispersed composition of particles it seems natural to use the theory of probability. Previously [1,2,[8][9][10][11][12][13][14], this approach convincingly proved its effectiveness in modeling processes across various industries. As for the application of mathematical models based on the numerical integration of CFD data for research, these methods have undeniably great capabilities and a degree of universality.…”

Section: Introductionmentioning

confidence: 82%

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Mathematical Modeling of Changes in the Dispersed Composition of Solid Phase Particles in Technological Apparatuses of Periodic and Continuous Action

et al. 2022

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This article presents a methodological approach to modeling the processes of changing the dispersed composition of solid phase particles, such as granulation, crystallization, pyrolysis, and others. Granulation is considered as a complex process consisting of simpler (elementary) processes such as continuous particle growth, agglomeration, crushing and abrasion. All these elementary processes, which are also complex in themselves, usually participate in the formation of the dispersed composition of particles and proceed simultaneously with the predominance of one process or another, depending on the method of its organization and the physicochemical properties of substances. A quantitative description of the evolution of the dispersed composition of the solid phase in technological processes in which the particle size does not remain constant is proposed. Considering the stochastic nature of elementary mass transfer events in individual particles, the methods of the theory of probability are applied. The analysis of the change in the dispersed composition is based on the balanced equation of the particle mass distribution function. The equation accounts for all possible physical mechanisms that effect changes in particle size during chemical and technological processes. Examples of solutions to this equation for specific processes of practical importance are provided. The obtained analytical solutions are of independent interest and are in good agreement with the experimental data, which indicates the adequacy of the proposed approach. These solutions can also be used to analyze similar processes. The effectiveness has been confirmed during the analysis and calculation of the processes of granulation of various solutions and disposal of oil-containing waste to obtain a granular mineral additive.

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Section: Resultssupporting

confidence: 76%

Section: Resultssupporting

confidence: 74%

Section: Introductionmentioning

confidence: 82%

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Mathematical Modeling of Changes in the Dispersed Composition of Solid Phase Particles in Technological Apparatuses of Periodic and Continuous Action

et al. 2022

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“…Bitumen BDU 60/90 was used as a binder. The average particle diameter in the initial product was 120 microns with a density of 1.26 g/cm 3 . The experiments were carried out at different speeds of rotation.…”

Section: Resultsmentioning

confidence: 99%

“…Therefore, in order to describe the evolution of the dispersed composition of particles it seems natural to use the apparatus of the theory of probability. Earlier [1][2][3][4][5][6][7][8][9], this approach has convincingly proved its effectiveness in modeling processes across various industries. In addition, a www.videleaf.com number of papers suggest using the Monte Carlo method to analyze agglomeration processes [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Application of Stochastic Methods to Description of the Evolution of the Dispersed Composition of Solid Phase Particles in Technological Apparatus of Periodic and Continuous Operation

Flisyuk¹,

Martsulevich²,

Мешалкин³

et al. 2022

Prime Archives in Applied Mathematics

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A quantitative description of the evolution of the dispersed composition of the solid phase in technological processes in which the particle size does not remain constant is proposed. Considering the stochastic nature of elementary mass transfer events in individual particles, the methods of the theory of probability are applied. The analysis of the change in the dispersed composition is based on the balance equation for the particle mass distribution function. The equation accounts for all possible physical mechanisms that effect changes in particle size during chemical and technological processes. Examples of solutions to this equation for specific processes of practical importance are given. The solutions obtained are in good agreement with experimental data, which indicates the adequacy of the proposed approach. Its effectiveness has been confirmed during the analysis and calculation of the processes of granulation of various solutions and disposal of oil-containing waste to obtain a granular mineral additive.

show abstract

Mathematical simulation of granulation process in a speed granulator

Cited by 2 publications

References 1 publication

Mathematical Modeling of Changes in the Dispersed Composition of Solid Phase Particles in Technological Apparatuses of Periodic and Continuous Action

Mathematical Modeling of Changes in the Dispersed Composition of Solid Phase Particles in Technological Apparatuses of Periodic and Continuous Action

Application of Stochastic Methods to Description of the Evolution of the Dispersed Composition of Solid Phase Particles in Technological Apparatus of Periodic and Continuous Operation

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