Calculation of Electromagnetic Fields, Forces and Temperature in a Finite Cylinder

Buikis, Andris; Kalis, Harijs

doi:10.3846/13926292.2002.9637174

Cited by 4 publications

(6 citation statements)

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“…Using monotone finite-difference schemes for calculations the vortex formation from the Lorentz force inside the cylinder and the vortex-breakdown at the inlet of the cylinder are obtained. The distribution of the temperature is depending of the vortex formation in the cylinder [1,3].…”

Section: Resultsmentioning

confidence: 99%

“…For calculation of the electromagnetic fields, the averaging method over the time interval 2π/ω = 1/f is used [1]. The averaged values of force < F r >, < F z > give rise to a motion of liquid (electrolyte), which can be described by the stationary Navier-Stokes equation.…”

Section: Introductionmentioning

confidence: 99%

“…The main aim of the work is to analyze the influence of different connection schemes of nine electrodes and swirl velocity at the inlet for vortex formation in the cylinder. In our previous works [1,3] we have developed the mathematical model for calculation of the electromagnetic field with six electrodes and force by using elliptical integrals. This approach makes it possible the consideration of alternating current connections of various type, with phase shifts θ and various arrangements of the conductors.…”

Section: Introductionmentioning

confidence: 99%

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The Vortex Formation in a Horizontal Finite Cylinder by Alternating Electric Current

Buikis

Kalis²

2005

Mathematical Modelling and Analysis

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We have investigated and calculated the distribution of electromagnetic fields and forces induced by a three‐ phase axially‐symmetric system of electric current with six electrodes in a cylinder of a finite length [1, 3]. In this paper the alternating current is fed to each of nine discrete circular conductors‐electrodes, which are placed on the internal wall of the cylinder. This new mathematical model describes a real device [7], which transforms electric energy into heat. The viscous incompressible flow of weakly electroconductive liquid‐electrolyte is obtained by the finite‐difference method, using the monotonous vector finite difference schemes. The average axially‐symmetric motion of electrolyte and vortex distribution in a cylinder has been considered. The dependence of electromagnetic forces and velocity distribution at the inlet of the cylinder is investigated in the case of: the vortex formation from the Lorentz force inside the cylinder by the electrode; the vortex-breakdown from the swirl velocity at the inlet of the cylinder. Straipsnyje yra nagrinejamas skysto elektrolito judejimas baigtiniame cilindre, veikiamas kintančio elektromagnetinio lauko. Panaudojant savo anksčiau sukurta metoda suvidurkintu laike elektromagnetiniu jegu reikšmiu gavimui, autoriai formuluoja stacionaru Navier‐Stokso uždavini klampiam nespudžiam elektrolito tekejimui aprašyti. Sukurto matematinio modelio skaitiniam sprendimui yra pasiūloma originali monotonine baigtiniu skirtumu schema. Yra pateikiami skaitiniu eksperimentu rezultatai su 9 žiediniais laidininkais‐elektrolitais, tolygiai paskirstytais vidiniame cilindro paviršiuje. Autoriai analizuoja gaunamus cilindre srautus priklausomai nuo elektromagnetiniu jegu pasiskirstymo (skirtingos elektrodu pajungimo schemos) ir sukurinio greičio cilindro iejime. Labiausiai autorius domina salygos, kada cilindro viduje susidaro sūkuriai.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Vortex Formation in a Horizontal Finite Cylinder by Alternating Electric Current

Buikis

Kalis²

2005

Mathematical Modelling and Analysis

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“…Unlike our previous papers [20,21] here we additionally consider the chain of linear vortex lines in the plane channel. In the plane, y=0 we have the slip conditions v x =v y =0 for the velocity vectors of viscous incompressible liquid.…”

Section: The Fl Ow Fi Eld Induced By Linear Vortex Lines In a Channelmentioning

confidence: 99%

“…The goal of this paper is to develop mathematical models for new types of ecologically clean and energetically effective devices [12,[20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of velocity field induced by the vortex

2024

Ann Math Phys

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In new technological applications, it is important to use vortex distributions in the area for obtaining large velocity fields. This paper, it was calculated the distribution of the velocity field and distribution of stream function for ideal incompressible fluid, induced by a different system of the finite number of vortex threads: 1) circular vortex lines in a finite cylinder, positioned on its inner, 2) spiral vortex threads, positioned on the inner surface of the finite cylinder or cone, and 3) linear vortex lines in the plane channel, positioned on its boundary. An original method was used to calculate the components of the velocity vectors. Such kind of procedure allows calculating the velocity fields inside the domain depending on the arrangement, the intensity, and the radii of vortex lines. In this paper, we have developed a mathematical model for the process in the element of Hurricane Energy Transformer. This element is a central figure in the so-called RKA (ReaktionsKraftAnlage) used on the cars’ roofs.

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