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 Matem. Mod., 2020, Volume 32, Number 4, Pages 3–15 (Mi mm4168)

Numerical analysis of the magnetomechanical effect in heating pipelines

D. S. Boykov, A. S. Boldarev, V. A. Gasilov

Keldysh Institute of Applied Mathematics, Russian Ac. Sci., Moscow

Abstract: We considered a physico-mathematical model which allows to explore the possibilities of the utilization of the «magnetic memory of metals» effect with the aim of nondestructive testing of the items made of ferromagnetic materials placed into the Earth's magnetic field. Based on the finite elements method, an algorithm and a computer code for the 3D computations of the magnetic potential distribution in a medium with nonuniform magnetic permeability were developed. The developed methods and software tools were used for the modelling of the leakage field near the fixed-ended heating pipes of the steam boilers. Relationships demonstrating the interrelation between the magnetic induction change and the magnetic leakage field were obtained. A satisfactory coincidence of computational and experimental data concerning the intensity of the magnetic leakage field distribution on the surface of the heating tube was noted.

Keywords: ferromagnetism, «magnetic memory of metal», nondestructive testing of heat pipelines, mathematical modelling.

DOI: https://doi.org/10.20948/mm-2020-04-01

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Revised: 05.09.2019
Accepted:21.10.2019

Citation: D. S. Boykov, A. S. Boldarev, V. A. Gasilov, “Numerical analysis of the magnetomechanical effect in heating pipelines”, Matem. Mod., 32:4 (2020), 3–15

Citation in format AMSBIB
\Bibitem{BoyBolGas20} \by D.~S.~Boykov, A.~S.~Boldarev, V.~A.~Gasilov \paper Numerical analysis of the magnetomechanical effect in heating pipelines \jour Matem. Mod. \yr 2020 \vol 32 \issue 4 \pages 3--15 \mathnet{http://mi.mathnet.ru/mm4168} \crossref{https://doi.org/10.20948/mm-2020-04-01}