Skip to main content
SpringerLink
Log in

Calculation of stationary magnetic field in the presence of a curved surface with ideal properties

  • Published:
Thermal Engineering Aims and scope Submit manuscript

Abstract

Application of the orthogonal projection method to calculation of a stationary magnetic field in the presence of a curved surface with infinite permeability is considered. The efficient numerical model is developed for solving this problem. Calculation examples are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. K. Rektorys, Variational Methods in Mathematics, Science and Engineering (Reidel, London, 1980; Mir, Moscow, 1985).

    MATH  Google Scholar 

  2. V. I. Astakhov, “On Acceptability of Idealization of Boundaries of Polarized Bodies and Certain Relations for Stationary Magnetic and Electrostatic Fields,” Izv. Vuzov. Elektromekhanika, No. 1 (2000).

  3. V. I. Astakhov, T. V. Kochubei, and K. S. Shaposhnikov, “Method of Orthogonal Projections in Problems on Calculation of Stationary Magnetic Fields,” in Tr. Yuzhnogo Nauchn. Tsentra RAN (Izd. YuNTs RAN, Rostov on Don, 2007), pp. 51–72.

    Google Scholar 

  4. Ya. A. Naumenko and V. I. Astakhov, “Mathematical Simulation of Magnetic Field in the Presence of Ideally Conducting Plate,” Izv. Vuzov. Elektromekhanika, No. 5 (2003).

  5. A. V. Skvortsov, Delaunay Triangulation and Its Application (Izd. Tomsk. Un-ta, Tomsk, 2002) [in Russian].

    Google Scholar 

  6. J. Naumenko, “Operator Equations for Eddy Currents on Singular Carriers,” in Matrix Methods: Theory, Algorithms, and Applications (world Scientific Publishing, 2008), pp 546–556.

  7. V. I. Krylov, Approximate Calculation of Integrals, (Nauka, Moscow, 1967) [in Russian].

    Google Scholar 

  8. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics, (Nauka, Moscow, 1977) [in Russian].

    Google Scholar 

  9. I. P. Krasnov, Calculation Methods of Ship’s Magnetism and Electric Engineering, (Sudostroenie, Leningrad, 1986) [in Russian].

    Google Scholar 

  10. http://en.wikipedia.org/wiki/Permalloy.

  11. http://en.wikipedia.org/wiki/Mu-metal

Download references

Authors
  1. K. S. Shaposhnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © K.S. Shaposhnikov, 2011, published in Izvestiya RAN. Energetika.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shaposhnikov, K.S. Calculation of stationary magnetic field in the presence of a curved surface with ideal properties. Therm. Eng. 58, 1184–1191 (2011). https://doi.org/10.1134/S0040601511140084

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0040601511140084

Keywords

Search

Navigation