Hostname: page-component-848d4c4894-nr4z6 Total loading time: 0 Render date: 2024-06-12T22:23:27.872Z Has data issue: false hasContentIssue false

Magneto-gasdynamic flow over a wedge

Published online by Cambridge University Press:  28 March 2006

D. C. Pack
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow
G. W. Swan
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow

Abstract

The solution for the flow of a fully ionized gas over a wedge of finite angle is known for the case when the applied magnetic field is aligned with the incident stream. In this flow there are current sheets on the surfaces of the wedge. When the magnetic field is allowed to deviate slightly from the stream, the current sheets may move into the gas and become shock waves. The magnetic fields adjacent to the wedge above and below it have to be matched. A perturbation method is introduced by means of which expressions for the unknown quantities in the different regions may be determined when there are four shocks attached to the wedge. The results give insight into the manner in which the shock-wave pattern develops as the obliquity of the magnetic field to the stream increases. The question of the stability of the shock waves is also examined.

Type
Research Article
Copyright
© 1966 Cambridge University Press

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

Akhiezer, A. I., Liubarskii, G. Ia. & Polovin, R. V. 1959 Sov. Phys. JETP, 35, 507.
Anderson, J. E. 1963 Magnetohydrodynamic Shock Waves. Cambridge, Mass.: Technology Press.
Bazer, J. & Ericson, W. B. 1959 Astrophys. J. 129, 75.
Cabannes, H. 1959 La Recherche Aéronautique, no. 71, 3.
Chu, C. K. & Lynn, Y. M. 1963 AIAA J. 1, 106.
Kogan, N. 1960 J. Appl. Math. Mech. 24, 129, trans. of P.M.M. 24, 10.
Mimura, Y. 1963 AIAA J. 1, 227.
Pack, D. C. & Swan, G. W. 1965 J. Inst. Math. Appl. 1, 31.
Stewartson, K. 1960 J. Fluid Mech. 8, 8.
Swan, G. W. 1961 Thesis for A.R.C.S.T., Glasgow.