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Electrical parameters of a channel with finite electrodes with allowance for the electrode potential drop

  • A. B. Vatazhin
Article
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Abstract

Spatial problems involving the electric field in an MHD channel were formulated in [1] with allowance for the electrode potential drop. It was assumed that the electrode layer had a small thickness, so that relationships on the boundary of the layer could be applied to the surface of the electrode. It was assumed that the electrode potential drop δϕ° could be represented as a function of the current density jn at the electrode in the form of a known function δϕ° =f (jn) determined experimentally or deduced from the appropriate electrode-layer theory. An approximate method was then put forward for solving such problems by reducing them to the determination of the electric field from a known distribution of the magnetic field and the gas-dynamic parameters. It was shown that when ɛ=δϕ°/ E is small (E is the characteristic induced or applied potential difference), the solution can be sought in the form of series in powers of ɛ. In the zero-order approximation, the electric field is determined without taking into account the electrode processes. The first approximation gives a correction of the order of ɛ. The quantity δϕ°, which is present in the boundary conditions on the electrode in the first-order approximation, is determined from the current density calculated in the zero-order approximation.

One of the problems discussed in [1] was concerned with the electric current in a channel with one pair of symmetric electrodes. Its solution was found in the first approximation in the form of the integral Keldysh-Sedov formula. In this paper we report an analysis of the solution for δϕ° taken in the form of a step function.

Keywords

Boundary Condition Magnetic Field Mathematical Modeling Mechanical Engineer Electric Current 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© The Faraday Press, Inc. 1971

Authors and Affiliations

  • A. B. Vatazhin
    • 1
  1. 1.Moscow

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