Abstract
Plasma flows caused by the interaction of the discharge current with the azimuthal magnetic self-field in coaxial channels (nozzles) of plasma accelerators are strongly affected by the longitudinal field produced by external conductors. A two-dimensional MHD model of flows in channels in the presence of a longitudinal magnetic field is proposed. Depending on the ratio between the characteristic values of the longitudinal and azimuthal field components, one of three types of flow is established in the channel: super-Alfvén, sub-Alfvén, or combined. The properties of different types of flows are analyzed. The acceleration process in sub-Alfvén flows differs qualitatively from that in regimes without a longitudinal field in transitions between the kinetic, thermal, and magnetic energy components.
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References
A. I. Morozov, Physical Principles of Space Electric Propulsion Thrusters (Atomizdat, Moscow, 1978), Vol. 1 [in Russian].
A. I. Morozov, Introduction to Plasma Dynamics (Fizmatlit, Moscow, 2006) [in Russian].
Encyclopedia of Low-Temperature Plasma, Ed. by V. E. Fortov (Nauka, Moscow, 2000), Introduction Vol. 3, Section IX, p. 383 [in Russian].
A. I. Morozov, K. V. Brushlinskii, V. G. Belan, et al., Fiz. Plazmy 16, 131 (1990) [Sov. J. Plasma Phys. 16, 69 (1990)].
V. M. Astashinskii, A. A. Man’kovskii, L. Ya. Min’ko, and A. I. Morozov, Fiz. Plazmy 18, 90 (1992) [Sov. J. Plasma Phys. 18, 47 (1992)].
Ya. F. Volkov, N. V. Kulik, V. V. Marinin, et al., Fiz. Plazmy 18, 1392 (1992) [Sov. J. Plasma Phys. 18, 718 (1992)].
A. I. Morozov and V. V. Savelyev, in Reviews of Plasma Physics, Ed. by B. B. Kadomtsev and V. D. Shafranov (Consultant Bureau, New York, 2000), Vol. 21, p. 203.
A. I. Morozov and L. S. Solov’ev, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1974; Consultants Bureau, New York, 1980), Vol. 8.
K. V. Brushlinskii and A. I. Morozov, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1974; Consultants Bureau, New York, 1980), Vol. 8.
K. V. Brushlinskii and T. A. Ratnikova, Fiz. Plazmy 21,784 (1995) [Plasma Phys. Rep. 21, 743 (1995)].
A. N. Kozlov, Izv. Akad. Nauk, Mekh. Zhidk. Gasa, No. 4, 165 (2003).
K. V. Brushlinskii and N. S. Zhdanova, Izv. Akad. Nauk, Mekh. Zhidk. Gasa, No. 3, 135 (2004).
K. V. Brushlinskii, K. P. Gorshenin, and Yu. I. Syts’ko, Mat. Model. 3(10), 3 (1991).
S. T. Zalesak, J. Comput. Phys. 31, 335 (1979).
K. V. Brushlinskii and N. S. Zhdanova, Zh. Vychisl. Mat. Mat. Fiz. 46, 550 (2006).
A. N. Kozlov, Fiz. Plazmy 32, 413 (2006) [Plasma Phys. Rep. 32, 378 (2006)].
K. V. Brushlinskii, A. I. Morozov, and V. V. Savel’ev, in Two-Dimensional Numerical Plasma Models, Ed. by K. V. Brushlinskii (IPM im. M.V. Keldysha AN SSSR, Moscow, 1979), p. 7 [in Russian].
G. A. Kalugin, Mat. Model. 3(1), 25 (1991).
T. A. Ratnikova, Mat. Model. 9(8), 3 (1997).
A. K. Vinogradova and A. I. Morozov, Zh. Tekh. Fiz. 46,2495 (1976) [Sov. Phys. Tech. Phys. 21, 1475 (1976)].
A. I. Morozov, Nucl. Fusion Suppl., 111 (1969).
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Original Russian Text © K.V. Brushlinskii, N.S. Zhdanova, 2008, published in Fizika Plazmy, 2008, Vol. 34, No. 12, pp. 1120–1128.
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Brushlinskii, K.V., Zhdanova, N.S. MHD flows in the channels of plasma accelerators with a longitudinal magnetic field. Plasma Phys. Rep. 34, 1037–1045 (2008). https://doi.org/10.1134/S1063780X08120076
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DOI: https://doi.org/10.1134/S1063780X08120076