Abstract
The critical parameters at which an isomagnetic compression shock occurs are determined using a regular method based on an analysis of the type of singular points of the equations for the structure of standing shock waves propagating at an arbitrary angle to the undisturbed magnetic field in a plasma with finite conductivity and thermal conductivity.
Similar content being viewed by others
Literature cited
F. Hoffman and E. Teller, “Magnetohydrodynamic shocks,” Phys. Rev.,80, No. 4 (1950).
J. Bazer and W. Ericson, “Hydromagnetic shocks,” Astrophys. J.,129, No. 3 (1959).
J. A. Shercliff, “One-dimensional magnetohydrodynamics in oblique fields,” J. Fluid Mech.,9, Part 4 (1960).
W. Marshall, “The structure of magnetohydrodynamic shock waves,” Proc. Roy. Soc. A,233 (1955).
A. G. Kulikovskii and G. A. Lyubimov, Magnetohydrodynamics [in Russian], Fizmatgiz, Moscow (1962).
R. V. Polovin, “Shock waves in magnetohydrodynamics,” Usp. Fiz. Nauk, 72, No. 1 (1960).
E. Anderson, Magnetohydrodynamic Shock Waves, Massachusetts Institute of Technology Press, Cambridge (1963).
R. Z. Sagdeev, “Collective processes and shock waves in a rarefied plasma,” in: Problems of Plasma Theory [in Russian], No. 4, Atomizdat, Moscow (1964),
K. W. Morton, “Finite amplitude compression waves in a collision-free plasma,” Phys. Fluids,7, No. 11 (1964).
L. C. Woods, “Critical Alfvén-Mach numbers for transverse field MHD shocks,” Plasma Phys.,11, No. 1 (1969).
Yu. A. Berezin, “Shock wave structure in a plasma,” in; Numerical Methods of the Mechanics of a Continuous Medium [in Russian], Vol. 1, No. 6, Izd. Vychisl. Tsentr. Sibirsk Otd. Akad. Nauk SSSR, Novosibirsk (1970).
Yu. A. Berezin and G. I. Dudnikova, “Effect of thermal conduction on the structure and critical parameters of shock waves in a plasma,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2 (1972).
Yu. A. Berezin, “On the theory of waves of finite amplitude in a rarefied plasma,” Candidate's Dissertation, Novosibirsk (1966).
G. I. Dudnikova, “Nonsteady shock waves in a rarefied plasma,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3 (1973).
A. E. Robson, “Experiments on oblique shock waves,” Proceedings of ESRIN Study Group, Frascati (1969).
F. R. Gantmakher, Matrix Theory [in Russian], Nauka, Moscow (1967).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 27–36, March–April, 1976.
Rights and permissions
About this article
Cite this article
Berezin, Y.A., Vshivkov, V.A. Critical parameters of shock waves in a plasma. J Appl Mech Tech Phys 17, 165–171 (1976). https://doi.org/10.1007/BF00858404
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00858404