Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-28T01:25:13.131Z Has data issue: false hasContentIssue false

The impact of a shock-wave on a thin two-dimensional aerofoil moving at supersonic speed

Published online by Cambridge University Press:  28 March 2006

J. L. Smyrl
Affiliation:
Department of Mathematics, Royal College of Science and Technology, Glasgow

Abstract

The pressure field is found in closed analytic form for the region behind an arbitrary plane shock, which has encountered a thin aerofoil moving at supersonic speed. The solution may be used for wedges at small incidence to the air-flow around them, and for wedges yawed with respect to the shock plane through angles up to a limiting value which always exceeds 67·8°. The pressure distribution on the surface of a wedge is calculated in a number of examples illustrating separately the effects of shock strength, wedge speed, and angle of yaw.

Type
Research Article
Copyright
© 1963 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

Buseman, A. 1943 Luftfahrtforsch. 20, 105.
Chester, W. 1954 Quart. J. Mech. Appl. Math. 7, 57.
Courant, R. & Friedrichs, K. O. 1948 Supersonic Flow and Shock Waves, ch. 4 E, 141. New York: Interscience.
Ehlers, F. E. & Shoemaker, E. M. 1959 J. Aero/Space Sci. 26, 75.
Lighthill, M. J. 1949 Proc. Roy. Soc. A, 198, 454.
Ludloff, H. F. & Ting, L. 1951 J. Aero. Sci. 18, 143.
Ludloff, H. F. & Ting, L. 1952 J. Aero. Sci. 19, 317.
Von Mises, R. 1958 Mathematical Theory of Compressible Fluid Flow, ch. 5, 23. New York: Academic Press.