Mathematical Model of Magnetic Hydrodynamics and Heat Transfer in an Aluminum Reduction Cell

Pianykh, A. A.; Arkhipov, G. V.; Tretyakov, Ya. A.

doi:10.3103/s1067821220010125

Cited by 7 publications

(4 citation statements)

References 8 publications

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“…The mathematical model of the movement of an electrically conductive liquid is generally accepted and described in studies [5,13,16,20]. Adding the turbulence SST model to the calculation is a generally accepted universal approach that requires further confirmation of adequacy and verification regarding the determination of calculation error values [15,22].…”

Section: Materials and Methods Of The Studymentioning

confidence: 99%

“…To reveal the physics of the occurring phenomenon, to analyze the movement of solid particles, if the liquid consists of them, is possible on the basis of the simultaneous solution of systems of equations. These systems should consist of the Reynolds equations, Maxwell's equations, liquid continuity equation, and solid particle dynamics equations [20,21]. The solution is possible using modern software packages, such as the Ansys CFX software package [22].…”

Section: Materials and Methods Of The Studymentioning

confidence: 99%

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Improvement of cleaning parameters of pipeline elements based on simulation of movement of solid magnetite particles in electrically conductive liquid

Rogovyi

Chernetska-Biletska

Miroshnykova

et al. 2023

EEJET

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The unique properties of liquids that can interact with electric and magnetic fields are used in mechanical engineering, technology and medicine. The possibility of the influence of the magnetic field on the solid particles of the liquid in the pipeline allows cleaning of the solid walls of the pipeline, which is the object of the study. Magnetic liquids are solutions of ferromagnets in a liquid, and their physical properties in a magnetic field cause structural transformations in such liquids. The treatment of electrically conductive liquids in a magnetic field and their use for cleaning water from oil or oil residues are considered. On the basis of numerical modeling, the movement of solid particles of magnetite, which is part of an electrically conductive liquid, was investigated by jointly solving the equations of Reynolds, Maxwell, non-discontinuity and the turbulence model. The physical phenomena of the movement of solid particles of magnetite-based conductive liquid in various elements of the pipeline were determined, which improved the parameters of cleaning liquids contaminated with oil and oil. The magnetic particles of the electrically conductive liquid quite nicely fill the boundaries of the intersection if there is a flow reversal, as it happens in radiators. An increase in the intensity of the magnetic field leads to a change in the velocity profile of the conductive liquid, which prevents magnetite particles from penetrating close to the wall. An increase in the power of the magnetic field makes it possible to detach the contamination from the walls of the pipeline together with the solid particle of magnetite. A 73 % increase in wear in certain sections of the pipeline is due to the effect of the centrifugal force acting on the particle during rotation. The sudden expansion of the flow makes it difficult for particles to reach the pipe surfaces, which worsens the cleaning conditions. The number of particles on the surface is 82 % less compared to the absence of sudden expansion

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Section: Materials and Methods Of The Studymentioning

confidence: 99%

Section: Materials and Methods Of The Studymentioning

confidence: 99%

Improvement of cleaning parameters of pipeline elements based on simulation of movement of solid magnetite particles in electrically conductive liquid

Rogovyi

Chernetska-Biletska

Miroshnykova

et al. 2023

EEJET

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“…By optimizing the busbar configuration, the disturbance growth rate of melt fluctuations is reduced, and the stability of the electrolytic cell is improved [8]. Most research focused on the influence of busbar configuration on the current distribution [9], magnetic field distribution [10] and magnetohydrodynamic [11][12][13], as Metals 2023, 13, 1361 2 of 13 well as the distribution law of the electro-thermal fields of the whole cell [14][15][16]; however, there are few studies on the electro-thermal state of the busbar system.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Electro-Thermal Field Distribution Law of Busbar under Different Operating Conditions

Hou

Sun

et al. 2023

Metals

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The electro-thermal state of a busbar system of electrolysis cells for aluminum production represents the main factor affecting hydromagnetic stability and current distribution. Based on the busbar system of a 500 kA aluminum electrolytic cell, an overall busbar electro-thermal field coupling calculation model was established based on ANSYS. The characteristics of busbar temperature, current density, and voltage drop distribution were analyzed. In addition, the electro-thermal distribution of the busbar system was simulated under different current intensities, ambient temperatures, and heat transfer coefficients. The results show that the temperature distribution of the riser busbar and the cathode busbar is higher in the middle location and tends to decrease along the two sides. Differences in heat conduction and heat dissipation environment are the main factors affecting the distribution of the busbar system’s electro-thermal field, while the Joule heat of the current is not the major factor. Increasing the current intensity will increase the average temperature and average voltage drop of the busbar. With an increase in the ambient temperature, the average busbar temperature increases significantly, and the voltage drop of the busbar also increases. With an increase in heat transfer coefficient, the average temperature and voltage drop of the busbar decreases.

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“…Qiang et al [8] presented heat transfer and magneto-hydrodynamic flow from transient three-dimensional coupled mathematical model in which electromagnetic fields through electrical potential approach have been investigated from energy and momentum equations. Pianykha et al [9] explored three-dimensional mathematical model based on the nonlinear dependence of magnetization through the formulation of coupled thermoelectric and magnetohydrodynamic calculations. They emphasized to obtain the convective components of heat transfer and heat transfer coefficients from energy equation via numerical solutions.…”

Section: Introductionmentioning

confidence: 99%

Thermal transmittance and thermo-magnetization of unsteady free convection viscous fluid through non-singular differentiations

2020

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Convective stability of ferromagnetic fluids can provide an adequate heat transfer via conventional convection due to a temperature gradient. This manuscript presents an analytical study for thermo-magnetized convection by means of non-integer order derivatives is investigated in which the core object is to show how to enhance, invert and suppress the convection modes based on local verses non-local kernels. Mathematical modeling is developed for the sake of magnetization depends upon governing equations of velocity, concentration and temperature profiles. Fractional treatments are invoked based on Fourier analysis and Laplace transforms to the dynamical equations govern the thermomagnetic convection. The analytical solutions of velocity, concentration and temperature have been established in terms of Mittage-Leffler E α − β t α and elementary functions. In order to have the performance of higher or lower susceptibility from thermomagnetic convection, profiles of velocity, concentration and temperature have been depicted separately by means of Atangana-Baleanu and Caputo-Fabrizio fractional operators for highlighting the immense impacts on ferromagnetic fluid flow. For the sake of novel outcomes of this study, it is observed that velocity is decreasing function of magnetic field when an increment in the amount of magnetic constant kicks off the augmentation of the Lorentz strength.

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Mathematical Model of Magnetic Hydrodynamics and Heat Transfer in an Aluminum Reduction Cell

Cited by 7 publications

References 8 publications

Improvement of cleaning parameters of pipeline elements based on simulation of movement of solid magnetite particles in electrically conductive liquid

Improvement of cleaning parameters of pipeline elements based on simulation of movement of solid magnetite particles in electrically conductive liquid

Numerical Investigation of Electro-Thermal Field Distribution Law of Busbar under Different Operating Conditions

Thermal transmittance and thermo-magnetization of unsteady free convection viscous fluid through non-singular differentiations

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