Study of the nonsteady propagation of an ionizing shock wave in a magnetic field

Бармин, А. А.; Uspenskii, V. S.

doi:10.1007/bf00850751

J Appl Mech Tech Phys

1988

DOI: 10.1007/bf00850751

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Study of the nonsteady propagation of an ionizing shock wave in a magnetic field

А. А. Бармин¹,

V. S. Uspenskii²

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2009

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“…Experimental studies (see, for example, [4,5,15]) and estimates of the parameters in the examined range indicate that using the ordinary transport coefficients is to some extent justified in numerical solutions not only of this problem but also a large number of other plasmadynamic problems (see, for example, [15,16]). …”

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Two-fluid magnetohydrodynamic model of plasma flows in a quasi-steady-state accelerator with a longitudinal magnetic field

Козлов

2009

J Appl Mech Tech Phy

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This paper reports the results of numerical studies of axisymmetric flows in a coaxial plasma accelerator in the presence of a longitudinal magnetic field. The calculations were performed using a two-dimensional two-fluid magnetohydrodynamic model taking into account the Hall effect and the conductivity tensor of the medium. The numerical experiments confirmed the main features of the plasmadynamic processes found previously using analytical and one-fluid models and made it possible to study plasma flows near the electrodes.Key words: plasma flow, magnetohydrodynamic model, Hall effect, plasma accelerator, longitudinal magnetic field.Introduction. In coaxial plasma accelerators [1] with azimuthal magnetic field H ϕ , plasma acceleration is due to the Ampére force. The current crisis phenomenon [1, 2] prevents the attainment of high velocities in accelerators with impermeable electrodes. This phenomenon is caused by the adverse effect of the Hall effect leading to a plasma deficiency near the anode. Large-amplitude oscillations occur in the accelerator. These phenomena exert the greatest effect on the volt-ampere characteristics corresponding to a constant flow rate of matter. If the discharge current in the system is higher than a certain critical value, the discharge voltage begins to grow rapidly and the system prevents the passage of high currents. Overcoming of the current crisis is possible in two-stage systems of the type of quasi-steady-state plasma accelerators (QSPAs) [1-3]. The first stage of QSPAs consists of several small coaxial plasma accelerators for plasma ionization and its preliminary acceleration. The second stage is a large coaxial plasma accelerator connected to an independent electric circuit. Experimental studies of QSPAs have shown a high degree of stability and azimuthal symmetrization of the flows (see, for example, [4,5]). The attained parameters values (particle concentration n 10 20 m −3 , plasma velocity V ≈ 10 4 -10 6 m/sec) indicate that these accelerators are promising for use not only in developing new technologies but also in space engineering, as electrojet plasma engines, and in other areas. Modern QSPAs are designed to use ion current transport with permeable electrodes. In this regime, the electrodes are equipotential surfaces and should be permeable to plasma. The self-consistent plasma flow through the electrodes is due to the Hall effect. Ignoring this effect (V e = V i ), the regime of impermeable continuous equipotential electrodes occurs, which is degenerate in physical practice (V e = V i ). Analytical and numerical studies of processes in accelerators for a dense plasma have been performed for magnetohydrodynamic (MHD) models in the absence of a longitudinal field (see, for example, [6][7][8]).

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Two-fluid magnetohydrodynamic model of plasma flows in a quasi-steady-state accelerator with a longitudinal magnetic field

Козлов

2009

J Appl Mech Tech Phy

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Study of the nonsteady propagation of an ionizing shock wave in a magnetic field

Cited by 1 publication

References 5 publications

Two-fluid magnetohydrodynamic model of plasma flows in a quasi-steady-state accelerator with a longitudinal magnetic field

Two-fluid magnetohydrodynamic model of plasma flows in a quasi-steady-state accelerator with a longitudinal magnetic field

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