Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-26T04:17:47.387Z Has data issue: false hasContentIssue false
  • English
  • Français

Shock reflexion and shock-wave interaction in field-aligned flows

Published online by Cambridge University Press:  13 March 2009

Manfred Natter
Manfred Natter
Affiliation:
Institut für Aerodynamil und Gasdynamil, Universität Stuttgart
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper considers the steady two-dimensional problem of regular reflexion and symmetric intersection of oblique magnetogasdynamic shock waves. It is assumed that the fluid medium is a non-viscous, non-heat-conducting, ideal gas of infinite electrical conductivity, and that the applied magnetic field is parallel to the velocity of the approaching stream. In view of the complexity of the shock relations, a graphical method is presented for determining the orientation and strength of the reflected shock wave in terms of the Laval number M*1 (flow speed divided by critical sound speed), the Alfvén number A1 (flow speed divided by Alfvén speed), and the shock angle ϑ 1 ahead of the incident shock. Moreover, the possible ranges of M*1, A1, and ϑ 1, for which regular reflexion may occur, are calculated and illustrated graphically for the case of a monatomic gas.

Type
Research Article
Information
Journal of Plasma Physics , Volume 14 , Issue 1 , August 1975 , pp. 39 - 51
Copyright
Copyright © Cambridge University Press 1975

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Akhiezer, A. I., Lyubarskiy, G. I. & Polovin, R. V. 1959 Soviet Phys. JETP, 35, 507.Google Scholar
Bertram, L. A. 1973 a J. Fluid Mech. 58, 313.CrossRefGoogle Scholar
Bertram, L. A. 1973 b J. Plasma Phys. 9, 325.CrossRefGoogle Scholar
Iordanskiy, S. V. 1958 Soviet Phys. Doklady, 3, 736.Google Scholar
Kogan, M. N. 1959 J. Appl. Math. Mech. 23, 784.CrossRefGoogle Scholar
Kogan, M. N. 1962 Problems of Magnetohydrodynamics and Plasma Dynamics. Academy of Science, Latvian SSR. (Trans.Google Scholar
Kalikhman, L. E. 1967 Elements of Magnetogasdynamics. Philadelphia: W. B. Saunders.)Google Scholar
Lüst, R. 1955 Z. Naturforsch. A 10, 125.CrossRefGoogle Scholar
Lynn, Y. M. 1971 J. Plasma Phys. 6, 283.CrossRefGoogle Scholar
Natter, M. 1972 Dr.-Ing. thesis, University of Stuttgart.Google Scholar
Natter, M. 1974 a MHD-Stoβ polarendiagramrne fü r Plasmen unendlicher Leitfä higkeit. Forsch. Heft 565. Dü sseldorf: VDI.Google Scholar
Natter, M. 1974 b Ing. Archiv, 43, 359.CrossRefGoogle Scholar
Pant, J. C. 1968 Z. angew. Math. Mech. 48, 73.CrossRefGoogle Scholar
Polovin, R. V. 1961 Soviet Phys. Uspekhi, 3, 677.CrossRefGoogle Scholar
Verma, B. G. 1966 Nuovo Cimento, B 41, 9.CrossRefGoogle Scholar