Mathematical modelling of frequency and force impacts on averaged metal flows in alternating magnetic field

Nikulin, I. L.; Perminov, A. V.

doi:10.1016/j.ijheatmasstransfer.2018.08.130

Cited by 13 publications

(3 citation statements)

References 25 publications

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“…A stronger magnetic field results in a higher Lorentz volume force, leading to intensified melt movement and faster velocities. In the case of AMF-driven flows, the Lorentz mechanism dominates over the Archimedean one in flow structure formation [41]. The average flow pattern is determined by the distribution of the Lorentz force, with the temperature field nonuniformity (resulting from the Archimedean mechanism or buoyancy) having a perturbing effect.…”

Section: Results Of the Numerical Simulations 1 Magnetic Field Streng...mentioning

confidence: 99%

Rupture of Thin Film Covering the Liquid Metal Stirred by Alternating Magnetic Field. Numerical Simulation

Nikulin,

Demin,

Nukulina

2023

Preprint

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The present work deals with the technological process of induction melting of heat-resistant nickel alloys and, in particular, with the problem of formation and stability of oxide film on the surface of the melt. Our mathematical model describes the heat and mass transfer in the metal melt subjected to the influence of an alternating magnetic field, and the elastic stress states of the film on its surface. The governing equations of the problem are given and non-dimensional parameters are discussed. It is shown how the influence of the magnetic field strength on the flow of the metal melt changes at different frequencies. The states of the surface film are studied theoretically using numerical simulation. It is shown that the variation of the field strength at different frequencies leads to decaying oscillations in the velocity field. The causes of these oscillations are discussed in detail. The stress and destruction of thin films by melt motion are considered. The mechanisms responsible for the primary destruction of the initial film and its fragments are revealed. The rupture of quasi-stable films at different frequencies is studied. It is shown that the result of the influence on the film state with the increase of the magnetic field strength depends on the field frequency. The frequency range was found in which the surface film is strong enough to prevent the intensification of the melt flow with the increase of the magnetic field strength, this effect provides the stability of the film.

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Section: Results Of the Numerical Simulations 1 Magnetic Field Streng...mentioning

confidence: 99%

Rupture of Thin Film Covering the Liquid Metal Stirred by Alternating Magnetic Field. Numerical Simulation

Nikulin,

Demin,

Nukulina

2023

Preprint

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show abstract

“…Let us apply the finite integral transformation (25) to the system (23). By directly integrating transformed Equation ( 23) over time, taking into account the initial conditions (24) for the functions H * * 2s and applying the inverse finite integral transformation (26) to the system (23), we obtain the expressions:…”

Section: Building a Solution For The Problem Of Electrodynamicsmentioning

confidence: 99%

“…Ref. [24] is a numerical study of averaged quasi-stationary mathematical models of the flow of molten metal placed in an alternating magnetic field. Article [25] focused on the modeling of rapid induction heating, that is, the first stage in contour induction hardening of gears-an effective heat treatment technology used in engineering, automotive, and aerospace industries; numerical modeling of coupled nonlinear electromagnetic and temperature fields was presented.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Varying Temperature Regimes in a Conductive Strip during Induction Heating under a Quasi-Steady Electromagnetic Field

Musii,

Lis,

Pukach

et al. 2024

Energies

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Transition processes in a steel conductive strip are analyzed during its induction heating under a quasi-steady electromagnetic field. In particular, the temperature field in the strip is studied. A method of solving corresponding initial boundary problems in a two-dimensional mathematical model for differential equations of electrodynamics and heat conduction is developed. The Joule heat and the temperature are determined with a high level of accuracy. The defining functions are the temperature and component of the magnetic field intensity vector tangent to the bases and end planes of the strip. To find them, we use cubic approximation of the defining functions’ distribution along the thickness coordinate. The original two-dimensional initial boundary value problems for the defining functions are reduced to one-dimensional initial boundary value problems on their integral characteristics. General solutions for these problems are obtained using the finite integral transformation by the transverse variable and the Laplace transform of the integral by time. Integral characteristics’ expressions are represented as convolutions for functions that describe homogeneous solutions of one-dimensional initial boundary value problems and limiting values of defining functions on the bases and end planes of the strip. The change of temperature under a varying regime in the dimensionless Fourier time and temperature distribution over the strip cross-section in a steady state depending on the parameters of induction heating and the Biot number are numerically analyzed. Varying and constant temperature regimes of the strip under conditions of the near-surface and continuous induction heating are studied.

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Movement of a Melt and Elastic-Stressed State of its Oxide Film in the Process of Induction Melting

Nikulin

Demin

Perminov

2021

J Eng Phys Thermophy

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Mathematical modelling of frequency and force impacts on averaged metal flows in alternating magnetic field

Cited by 13 publications

References 25 publications

Rupture of Thin Film Covering the Liquid Metal Stirred by Alternating Magnetic Field. Numerical Simulation

Rupture of Thin Film Covering the Liquid Metal Stirred by Alternating Magnetic Field. Numerical Simulation

Analysis of Varying Temperature Regimes in a Conductive Strip during Induction Heating under a Quasi-Steady Electromagnetic Field

Movement of a Melt and Elastic-Stressed State of its Oxide Film in the Process of Induction Melting

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