Penetration of Non-uniform Sinusoidal Electromagnetic Field into Conducting Half-Space

Vasetsky, Yuriy; Zaporozhets, Artur

doi:10.1007/978-3-031-38423-3_3

Cited by 1 publication

(2 citation statements)

References 21 publications

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“…and the set boundary values H and their integration by variable x 3 , considering Formulas (14) and (15).…”

Section: Building a Solution For The Problem Of Electrodynamicsmentioning

confidence: 99%

“…In [14], approximate mathematical models for calculating three-dimensional EMFs were analyzed using the exact analytical solution for the problem of determining a three-dimensional quasi-stationary field. The study in [15] proposed the exact analytical solution for the general problem of conjugation of a three-dimensional quasi-stationary field at the flat border between a dielectric and conducting medium. In [16], a modeling strategy in the time domain was used to analyze the behavior of induction heating systems with a quasi-resonant single-cycle direct current inverter via frequency-pulse modulation and a variable load.…”

Section: Introductionmentioning

confidence: 99%

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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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“…and the set boundary values H and their integration by variable x 3 , considering Formulas (14) and (15).…”

Section: Building a Solution For The Problem Of Electrodynamicsmentioning

confidence: 99%

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

View full text Add to dashboard Cite

show abstract

Penetration of Non-uniform Sinusoidal Electromagnetic Field into Conducting Half-Space

Cited by 1 publication

References 21 publications

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

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

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