Calculation of the magnetic field strength inside and outside of an infinite cylinder placed in an arbitrary external field

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In the model of the infinite cylinder the formulas and the corresponding algorithm for finding the magnetic field strength inside and outside the homogeneous cylinder placed in the external magnetic field of arbitrary configuration are deduced. Testing the results of calculations on these formulas for their correspondence with known physical laws, as well as on their coincidence with well-known analytical answers in the limiting private cases of the forms of magnetics were carried out. A computer program in Fortran language has been compiled and debugged to implement calculations using the proposed algorithm.

作者简介

V. Dyakin

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

编辑信件的主要联系方式.
Email: defect@imp.uran.ru
俄罗斯联邦, Yekaterinburg, 620108

O. Kudryaschova

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

Email: kudryashova_ov@imp.uran.ru
俄罗斯联邦, Yekaterinburg, 620108

V. Raevskii

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

Email: ravskii@mail.ru
俄罗斯联邦, Yekaterinburg, 620108

参考

  1. Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. On the Use of Multipurpose Software Packages for Solving Problems of Magnetostatics // Defektoskopiya. 2018. No.11. P. 23—34.
  2. Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. One Approach to the Numerical Solution of the Basic Equation of Magnetostatics for a Finite Cylinder in an Arbitrary External Field // Defektoskopiya. 2021. No. 4. P. 22—34.
  3. Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Calculating the Strength of Magnetic Field from a Homogeneous Cylinder of Finite Dimensions Placed in an Arbitrary External Field // Defektoskopiya. 2022. No. 4. P. 63—74.
  4. Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Calculating the Strength of Magnetic Field from a Homogeneous Cylinder of Finite Dimensions Placed in an Arbitrary External Field // Defektoskopiya. 2023. No. 5. P. 32—44.
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  6. Dyakin V.V. Mathematical Foundations of Classical Magnetostatics. Yekaterinburg: Ural Branch, Russ. Acad. Sci., 2016. 404 p.
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  8. Friedman M.J. Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. 2. // SIAM J. Numer. Anal. 1981. V. 18. No. 4. P. 644—653.
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  13. Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Exact Formulas for Magnetic Field Strength inside and outside a Homogeneous Ellipsoidal Magnet Placed in an External Field Homogeneous in Magnet Vicinity // Defektoskopiya. 2022. No. 2. P. 51—63.

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