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On the Solution to One Problem of Magnetostatics for a Pipe with Inner Surface Defect

  • ELECTROMAGNETIC METHODS
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Abstract

An algorithm has been developed and implemented for the numerical solution of a direct linear magnetostatics problem by calculating the resulting field of a pipe with a surface defect on its inner wall under the assumption that the perpendicular section of the pipe and the vector of intensity of the external magnetizing field remain unchanged along the pipe length axis. This has made it possible to take the two-dimensional integro-differential equation of magnetostatics as a basis. The algorithm is implemented in the FORTRAN programming language. The results are tested for reliability using problems solved exactly. Illustrative curves are constructed. The possibilities of applying the obtained calculation methodology to a class of problems that differ in some way in their formulation are indicated.

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ACKNOWLEDGEMENTS

The authors thank A.V. Gapontsev for his help in setting the problem and interest in the results of its solution.

Funding

This work was carried out within the framework of the state assignment on topic “Quantum,” project no. AAAA-А18-118020190095-4.

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Authors and Affiliations

  1. Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences, 620108, Yekaterinburg, Russia

    V. V. Dyakin, O. V. Kudryashova & V. Ya. Rayevskii

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  1. V. V. Dyakin
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  2. O. V. Kudryashova
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  3. V. Ya. Rayevskii
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Correspondence to O. V. Kudryashova.

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Dyakin, V.V., Kudryashova, O.V. & Rayevskii, V.Y. On the Solution to One Problem of Magnetostatics for a Pipe with Inner Surface Defect. Russ J Nondestruct Test 59, 204–214 (2023). https://doi.org/10.1134/S1061830923700274

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  • DOI: https://doi.org/10.1134/S1061830923700274

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