Abstract
In chapter IX § 4, we discussed the Rankine-Hugoniot relations for a normal shock in a transverse magnetic field. If there is no transverse magnetic field but if a longitudinal magnetic field exists the shock relations in magnetogasdynamics will be identical to that of ordinary gasdynamics. In this chapter, we shall first discuss the oblique shock relations in magnetogasdynamics (§ 2). In this case, we have to consider both the direction of the magnetic field and that of the flow velocity with respect to the shock front. In ordinary gasdynamics, it is well-known that by proper choice of the coordinate system it is always possible to reduce the oblique shock to a corresponding normal shock case. But in magnetogasdynamic shocks, it is in general not possible to reduce an oblique shock case to a simple normal shock case by proper choice of the coordinate system. However we shall show in § 2 that by proper choice of the coordinate system, the oblique shock wave relations may be simplified even though it can not be reduced to a simple normal shock. In § 3, we shall discuss the oblique shock structure in magnetogasdynamics.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Burgers, J. M.: The Penetration of a Shock Wave into a Magnetic Field. Techn. Note BN-102, Institute for Fluid Dynamics and Applied Math. Univ. of Md., June 1957.
Cabannes, H.: Attached Stationary Shock Waves in Ionized Gases. Rev. Mod. Phys., Oct. 1960, pp. 973–976.
Hoffman, F. de, and E. Teller: Magnetohydrodynamic Shock. Phys. Rev. 80, 1950, pp. 692–703.
Friedrichs, K. O.: Nonlinear Wave Motion in Magneto-Hydrodynamics. Los Almos Laboratory Report, 1954.
Friedrichs, K. O., and H. Kranier: Nonlinear Wave Motion. Notes on Magneto-hydrodynamics VIII, Institute of Math. Sci. New York Univ., 1958.
Germain, P.: Structure of Shock Waves in Magneto-Fluid Dynamics. Rev. Mod. Phys. Oct. 1960, pp. 951–958.
Helfer, H. L.: Magneto-Hydrodynamic Shock Waves. The Astro-Physical Jour. 117, 1953, pp. 177–199.
Lust, R.: Magneto-hydrodynamische Stoßwellen in einem Plasma unendlicher Leitfähigkeit. Zeit. für Naturforschung 8a, Heft 5, 1953, pp. 277–284.
Pai, S. I.: Shock Wave Propagation in an Infinitely Electrically Conductive Gas with Transverse Magnetic Field and Gravitation. Techn. Note BN-109, Inst. for Fluid Dynamics and Applied Math., University of Maryland, 1957, Also ZAMM. Bd. 39, Heft 12, 1959, pp. 40–44
Pai, S. I.: Cylindrical Shock Waves Produced by Instantaneous Energy Release in Magneto-Gasdynamits. Tech. Note BN-120, Inst. for Fluid Dynamics and Applied Math., University of Maryland, 1958. Also Proc. 4th Indian Congress of Theoretical and Applied Mech., Dec. 28–31, 1958, pp. 89–100.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1962 Springer-Verlag GmbH Wien
About this chapter
Cite this chapter
Pai, SI. (1962). Shock Wave Propagation in Magnetogasdynamics. In: Magnetogasdynamics and Plasma Dynamics. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8083-9_11
Download citation
DOI: https://doi.org/10.1007/978-3-7091-8083-9_11
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-8085-3
Online ISBN: 978-3-7091-8083-9
eBook Packages: Springer Book Archive