Plane one-dimensional stationary flow of an ideal charged gas in its own electric field

  • Yu. A. Nagel


The plane one-dimensional flow of an incompressible gas consisting of a neutral and a charged component in its own electric field has been investigated by Stuetzer [1]. Stuetzer's results are valid when the electrostatic pressure is small compared with the hydraulic pressure. In the present paper an analogous problem is considered for a compressible gas under the more general assumption that the pressures are comparable. Three cases are analyzed: a) the velocity of the relative motion of the charged and the neutral particles is equal to zero; b) it is nonvanishing but the flow can be assumed to be approximately isentropic; c) a nonisentropic flow, i.e., one cannot ignore irreversible losses due to the relative motion of the charged and neutral particles. In the first two cases, closed solutions are obtained.


Mathematical Modeling Mechanical Engineer Stationary Flow Industrial Mathematic Relative Motion 
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Literature cited

  1. 1.
    O. M. Stuetzer, “Ion transport high-voltage generators,” Rev. Scient. Instrum.,32, 1, 16–22 (1961).Google Scholar
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    S. Chapman and T. G. Cowling, Mathematical Theory of Nonuniform Gases, Cambridge, Univ. Press (1952).Google Scholar
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    J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids, Wiley (1965).Google Scholar
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    O. M. Stuetzer, “Magnetohydrodynamics and electrohydrodynamics,” Phys. Fluids,5, 5, 534–544 (1962).Google Scholar
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    A. Marks, E. Barreto, and C. K. Chu, “Charged aerosol converter,” AIAA Journal,2, 1 (1964).Google Scholar
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    J. M. Meek and J. Craggs, Electrical Breakdown of Gases, Clarendon Press, Oxford (1953).Google Scholar

Copyright information

© Consultants Bureau 1973

Authors and Affiliations

  • Yu. A. Nagel
    • 1
  1. 1.Moscow

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