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Effect of hall currents on the flow of a conducting gas at high flow velocities

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Abstract

In [1] the flow of a compressible fluid was examined for the case when the conductivity σ=∞ with account for the Hall effect. Oates [2] solves the problem of the influence of Hall currents on the flow in an accelerator for channels having a very small ratio of height to length when the velocity component in the direction of the channel height may be assumed to be zero. The problem of the influence of Hall currents on the flow of a conducting gas of finite conductivity is solved below for the case when the gas is accelerated to high velocities (≈ 50–100 km/sec) with account for the presence of two velocity components.

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References

  1. 1.

    A. I. Morozov and L. S. Solov'ev, “Plane flow of an ideal conducting compressible fluid with the Hall effect taken into account,” Zh. tekh. fiz., vol. 34, no. 7, 1964.

  2. 2.

    J. C. Oates, “Hall current and inlet disturbances in constant area channel flows,” AIAA Journal, no. 12, 1963.

  3. 3.

    L. G. Kulikovskii and G. A. Lyubimov, Magnetohydrodynamics, [in Russian] Fizmatgiz, 1962.

  4. 4.

    G. G. Chernyi, Gas Flow at High Supersonic Speeds [in Russian] Fizmatgiz, 1959.

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Bam-Zelikovich, G.M. Effect of hall currents on the flow of a conducting gas at high flow velocities. J Appl Mech Tech Phys 6, 16–21 (1965). https://doi.org/10.1007/BF00913420

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Keywords

  • Mathematical Modeling
  • Mechanical Engineer
  • Flow Velocity
  • Velocity Component
  • High Velocity