Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T06:57:06.025Z Has data issue: false hasContentIssue false
  • English
  • Français

The shock-expansion method and Whitham's rule

Published online by Cambridge University Press:  28 March 2006

Wilbert Lick
Wilbert Lick
Affiliation:
Harvard University, Cambridge, Massachusetts
Get access Rights & Permissions [Opens in a new window]

Abstract

The assumptions of the shock-expansion method are re-examined. Although the shock-expansion method and Whitham's rule are used to treat two different classes of problems, certain similarities between these two methods are noted. It is suggested that a single procedure leads to solutions for the entire flow field for both classes of problems.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 25 , Issue 1 , May 1966 , pp. 179 - 184
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

Chester, W. 1954 The quasi-cylindrical shock tube. Phil. Mag. (7), 45, 1293.Google Scholar
Chester, W. 1960 The propagation of shock waves along ducts of varying cross section. Advances in Applied Mechanics. New York: Academic Press.
Chisnell, R. F. 1957 The motion of a shock wave in a channel, with applications to cylindrical and spherical shock waves. J. Fluid Mech. 2, 286.Google Scholar
Eggers, A. J., Syvertson, C. A. & Kraus, S. 1953 A study of inviscid flow about airfoils at high supersonic speeds. NACA Rept no. 1123.Google Scholar
Epstein, P. S. 1931 On the air resistance of projectiles. Proc. Nat. Acad. Sci. U.S.A. 17, 532.Google Scholar
Guderley, G. 1942 Starke Kugelige und zylindrische Verdichtungsstösse in der Nähe des Kugelmittelpunktes bzs. der Zylinderachse. Luftfarhtforschung, 19, 302.Google Scholar
Hayes, W. D. & Probstein, R. F. 1959 Hypersonic Flow Theory. New York: Academic Press.
Mahoney, J. J. 1955 A critique of shock expansion theory. J. Aero. Sci. 22.Google Scholar
Meyer, R. E. 1960 Theory of characteristics of inviscid gas dynamics. Handbuch der Physik, Fluid Dynamics III, vol. IX.Google Scholar
Pillow, A. F. 1949 The formation and growth of shock waves in the one-dimensional motion of a gas. Proc. Camb. Phil. Soc. 45, 558.Google Scholar
Taylor, G. I. 1950 The formation of a blast wave by a very intense explosion. Proc. Roy. Soc., A 201, 159.Google Scholar
Whitham, G. B. 1958 On the propagation of shock waves through regions of non-uniform area or flow. J. Fluid Mech. 4, 337.Google Scholar