To the Calculation of the Average Value of the Volume Fraction of the Key Bulk Component at the Intermediate Stage of Mixing With an Inclined Bump

Капранова, А. Б.; Verloka, I. I.; Bakhaeva, D.D.; Tarshis, M. Yu.; Cherpitsky, S. N.

doi:10.3389/fenrg.2020.00135

Cited by 9 publications

(5 citation statements)

References 13 publications

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“…• The theoretical substantiation of the possibility of realizing deaeration of dispersed media in a roller device with a spherical matrix on the surfaces of the shaft and conveyor is obtained based on the results of the performed simulation. • The proposed plane-deformation model contributes to the development of methods for modeling the behavior of dispersed media in the working volumes of sealsdeaerators, identifying the main information variables of the deaeration process, for example, according to the approaches, tested for the processing of solid dispersed materials (Kapranova et al, 2020a;Kapranova et al, 2020b) or when transporting liquid media (Kapranova et al, 2020c;Kapranova et al, 2020d).…”

Section: Key Findings and Resultsmentioning

confidence: 99%

Mathematical Model of the Deaeration of Finely Dispersed Solid Media in a Spherical Matrix of a Roller-Type Apparatus

et al. 2021

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The additional operation of deaeration (compaction) of powders affects the quality of many products of chemical industries, the conditions for their delivery. Otherwise, energy consumption increases significantly. The aim of this work is the modeling of the deaeration of solid finely dispersed media in a gap with perforated hemispherical shapes on the surfaces of the shaft and conveyor belt within the framework of the mechanics of heterogeneous systems. A plane-deformation model is described, neglecting the forces of interphase interaction and taking into account the compressibility of a solid-particle-gas mixture without elastoplastic deformations. The model assumes consideration of the movement of (1) the components of the solid skeleton together with the carrying phase as a whole; (2) gas in an isothermal state through the pores of a finely dispersed material. This work is devoted to the study of part (a), i.e., behavior of the solid particle-gas system as a whole. The efficiency of the seal-deaerator is estimated using the obtained analytical dependencies for the main strength and speed indicators. The change in the degree of compaction of a spherical granule made of kaolin with given strength characteristics is investigated. It is shown that for the initial time interval up to 3.7⨯10−2 s, the growth of the porosity value relative to the horizontal coordinate along the conveyor belt is exponential and increases by a factor of 1.1. After eight such time intervals, the porosity values stabilize along the indicated coordinate with an increase of more than 1.4 times from the initial value.

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Section: Key Findings and Resultsmentioning

confidence: 99%

Mathematical Model of the Deaeration of Finely Dispersed Solid Media in a Spherical Matrix of a Roller-Type Apparatus

et al. 2021

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“…A substantial body of research has been dedicated to investigating the mechanisms governing the movement and mixing of bulk components. A significant number of scholars have been engrossed in devising engineering methodologies for computing mixing equipment, implementing a myriad of theoretical and experimental methods to validate the process of bulk composition production [16][17][18][19].…”

Section: Discussionmentioning

confidence: 99%

“…Numerous studies have utilized differential equations and the Runge-Kutta method of the 4th order, employing programs coded in the Python programming language [17,18]. In other works, differential distribution functions of particles from different sources have been harnessed [19]. These studies have delved into the motion of particles in a gravitational apparatus at a mixing component ratio of 1:10, while a ratio of 1:100 has been used for centrifugal mixing.…”

Section: Discussionmentioning

confidence: 99%

Enhancing Mixture Homogeneity in Centrifugal Mixers: A LabVIEW-Based and Numerical Simulation of Bulk Material Particle Dynamics

Borodulin,

Oreshina,

Sukhorukov

et al. 2023

MMEP

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The goal of the present study was to enhance the homogeneity of mixtures produced in centrifugal mixers. Attention was devoted to the analysis of particle movements and interactions within the mix, with an intention to mitigate segregation phenomena and contribute to the refinement of mixer design. By understanding and predicting the behavior of medium components within the working chamber of the mixer, a qualitative improvement in the production of bulk mixtures can be achieved. A simulation was conducted of dry powder mixing at a ratio of 1:100 in a continuous centrifugal apparatus equipped with a disk-shaped rotor and a thin-walled truncated cone. LabVIEW software was employed to estimate the motion and velocity of particles within the rotor. Findings from the study provided a detailed portrayal of a material particle's trajectory within the mixer. Immediately upon entry into the apparatus, the particle's velocity on the rotor disk was observed to increase rapidly within an initial two-second period, followed by uneven acceleration. This inconsistency was attributed to the pulsating nature of the particle's motion, along with its shape and surface roughness. Near the rotor disk's periphery, more systematic movement was observed among particles of varying densities within the medium flow. From this study, differential equations were derived and a mathematical model was developed to illustrate changes in speed and trajectory of particles with different densities. The model aligns well with calculations from numerical methods, offering a high degree of accuracy for theoretical descriptions and calculations pertaining to bulk mixture production processes. Therefore, this study offers a significant tool for future improvements in the design and utilization of centrifugal mixers.

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“…At this stage of mixing, there is an impact interaction with the bump surface of rarefied flows of granular components obtained by scattering the elastic blades of a rotating drum at the previous stage of the technological chain [10]. Interest in the design of new devices for this purpose is explained by the specific properties of the processed working materials and the specific conditions of the technology for obtaining the finished product in the form of their high-quality mixture [11]. Difficulties in predicting the degree of homogeneity of a given mixture, corresponding to a given technological regulation, can be successfully solved already at the design stage of the mixer, which is based on a systemstructural analysis of the mixing process [8,12,13].…”

Section: Introductionmentioning

confidence: 99%

Stochastic analysis of impact mixing of bulk materials in a rotary apparatus

et al. 2021

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The purpose of this work is to analyze the distribution of bulk materials according to the characteristic parameters of the mixing process at the second stage of processing in a rotary apparatus. The design of the rotary device has a wide range, including for the needs of agriculture, for example, when forming mixtures of mineral fertilizers and multifunctional pyrethroid drugs. At this mixing stage, impact interaction with the bump surface of rarefied flows of bulk components occurs, obtained by scattering the rotating drum by elastic blades at the previous stage of the technological chain. The obtained dependencies between the characteristic angle of dispersion of bulk materials by the specified mixing drum (at the first stage) and the angle of reflection of the corresponding flows from the baffle surface (at the second stage) are used in the stochastic analysis of impact mixing. Modeling of the differential functions of the distribution of the number of particles of mixed bulk components by the angle of reflection from the baffle surface is carried out taking into account the physical and mechanical characteristics of the working materials, design parameters, and operating parameters of the rotary apparatus. The calculation results made it possible to reveal the effective ranges of variation of the characteristic parameters for the shock mixing of bulk materials in a rotary apparatus.

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To the Calculation of the Average Value of the Volume Fraction of the Key Bulk Component at the Intermediate Stage of Mixing With an Inclined Bump

Cited by 9 publications

References 13 publications

Mathematical Model of the Deaeration of Finely Dispersed Solid Media in a Spherical Matrix of a Roller-Type Apparatus

Mathematical Model of the Deaeration of Finely Dispersed Solid Media in a Spherical Matrix of a Roller-Type Apparatus

Enhancing Mixture Homogeneity in Centrifugal Mixers: A LabVIEW-Based and Numerical Simulation of Bulk Material Particle Dynamics

Stochastic analysis of impact mixing of bulk materials in a rotary apparatus

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