Abstract
The methods of the kinetics theory are used to obtain a closed system of equations describing the behavior of a multicomponent, partially ionized gaseous mixture in an electromagnetic field in which the space charge is significant. A criterion is presented that makes it possible to separate the problem of finding the magnetic field from that of finding the other defining parameters. Expressions are obtained for the viscosity stress tensors and the thermal and diffusive fluxes; the transport coefficients are calculated in the strong electric field. The relations for the friction force and the energy exchange between components during particle collisions are analyzed. The equations for a mixture consisting of neutral particles and charged particles of a single sign are discussed in detail. The dimensionless EHD criteria are written and analyzed. Possible simplifications of the system of equations are examined, and various forms of Ohm's law are discussed. Weak discontinuities in EHD are analyzed. The equations of EHD under various assumptions have also been considered in several studies* and in [1–3].
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References
O. M. Stuetzer, “Magnetohydrodynamics and electrohydrodynamics”, Phys. Fluids, vol. 5, no. 5, 1962.
G. N. Kopylov, “Laminar flow of a charged fluid in a flat tube under the influence of an external electrostatic field”, Zh. tekhn. fiz.,33, no. 11, 1963.
Yu. S. Bortnikov and I. B. Rubashov, “A study of the system of equations of electrogasdynamics”, Magnitnaya gidrodinamika [Magnetohydrodynamics], no. 2, 1968.
A. G. Kulikovskii and G. A. Lyubimov, Magnethydrodynamics [in Russian], Fizmatgiz, Moscow, 1962.
A. Marks, E. Barreto, and C. K. Cu, “Charged aerosol converter”, AIAA Journal, vol.2, no. 1, 1964.
A. Cox, “Colloidal electrohydrodynamic energy converter”, AIAA Journal, vol. 1, no. 11, 1963.
S. Chapman and T. G. Cowling, The Mathematical Theory of Nonuniform Gases [Russian translation], Izd-vo inostr. lit., Moscow, 1960.
V. A. Polyanskii, “On the equations of motion of a two-temperature partially ionized plasma”, collection: Reports of the 5th Riga Conference on MHD, [in Russian], Riga, no. 1, 1966.
M. Ya. Alievskii, V. M. Zhdanov, and V. A. Polyanskii, “The viscous stress tensor and thermal flux in a two-temperature partially ionized gas”, PMTF, no. 3, 1964.
V. A. Polyanskii, “Diffusion and conduction in a partially ionized multitemperature gaseous mixture”, PMTF, no. 5, 1964.
L. E. Pekurovskii, “Transport coefficients for partially ionized two-temperature plasma with different masses of the ions and neutral particles”, PMTF [Journal of Applied Mechanics and Technical Physics], no. 3, 1967.
M. Ya. Alievskii and V. M. Zhdanov, “Transport equations for a nonisothermal multisort plasma”, PMTF, no. 5, 1963.
S. I. Braginskii, “Transport phenomena in a plasma”, collection: Problems of Plasma Theory [in Russian], Gosatomizdat, Moscow, no. 1, 1963.
J. Corstoiu, “Sur quelques points de l'electrodynamique de milieux continus en mouvement”, C. R. Acad. Sc. Paris, vol. 258, no. 4, 1163, 1964.
V. V. Gogosov, V. A. Polyanskii, I. P. Semenova, and A. E. Yakubenko, “Study of EHD flows for large electric Reynolds numbers”, PMTF [Journal of Applied Mechanics and Technical Physics], no. 1, 1969.
G. N. Boyarskii, “EHD laminar flow of a unipolarly charged dielectric in a circular tube”, collection: Hydroaeromechanics [in Russian], Izd-vo Khar'kov unta, Khar'kov, no. 5, 1967.
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Gogosov, V.V., Polyanskii, V.A., Semenova, I.P. et al. EHD equations and transport coefficients in a strong electric field. Fluid Dyn 4, 18–26 (1969). https://doi.org/10.1007/BF01014964
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DOI: https://doi.org/10.1007/BF01014964