Skip to main content
SpringerLink
Log in

The problem of the electric field of an electrode with a pre-electrode potential drop in a medium with tensor conductivity

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

We investigate the nonlinear current distribution in an electrode of finite dimensions with a pre-electrode layer in which the potential locally depends on the current density. The electrode is in contact with a medium of anisotropic conductivity caused by the Hall effect. The problem is reduced to the solution of a nonlinear integrodifferential equation. It is shown that the structure of the field is determined by the Hall parameter ωτ and the form of the volt-ampere characteristic in the pre-electrode layer.

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

Literature cited

  1. I. F. Louis, I. Lothrop, and T. R. Brogan, “Fluid dynamic studies with a magnetohydrodynamic generator,” Phys. Fluids,7, No. 3, pp. 362–374 (1964).

    Google Scholar 

  2. P. I. Baranskii and Yu. P. Emets, “The electrical field in a circular semiconducting flat plate in a magnetic field,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 5, 64–72 (1966).

    Google Scholar 

  3. G. Brederlow and H. Zinko, “Measurement of the potential distribution, elevation of electron temperature, and voltage-current characteristics of an alkali-seeded rare-gas Faraday-type MHD generator,” Electricity from MHD, Proc. Symposium, Warsaw, 1968, Vol. 1, Vienna (1968), pp. 409–417.

  4. A. B. Vatazhin and G. A. Lyubimov, “The effect of pre-electrode layers on the characteristics of an MHD generator,” in: Problems in the Hydrodynamics and Mechanics of a Continuous Medium [in Russian], Nauka, Moscow (1969), pp. 93–102.

    Google Scholar 

  5. A. B. Vatazhin, “Electrical fields in magnetohydrodynamic channels when there is a pre-electrode potential drop,” Prikl. Matern, i Mekhan.,30, No. 3, 441–450 (1966).

    Google Scholar 

  6. N. I. Muskhelishvili, Singular Integral Equations [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

  7. Yu. P. Emets, “The current distribution at permeable electrodes when the Hall effect occurs in the flow of an electrically conducting medium,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 3 (1966).

Download references

Authors
  1. Yu. P. Emets
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 19–23, January–February, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Emets, Y.P. The problem of the electric field of an electrode with a pre-electrode potential drop in a medium with tensor conductivity. J Appl Mech Tech Phys 12, 14–18 (1971). https://doi.org/10.1007/BF00853976

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00853976

Keywords

Search

Navigation