Hostname: page-component-848d4c4894-nr4z6 Total loading time: 0 Render date: 2024-06-08T02:49:48.991Z Has data issue: false hasContentIssue false

Third-order blast wave theory and its application to hypersonic flow past blunt-nosed cylinders

Published online by Cambridge University Press:  28 March 2006

R. J. Swigart
Affiliation:
Lockheed Aircraft Corporation, Missiles and Space Division, Palo Alto, California

Abstract

The inviscid flow behind a cylindrical blast wave and its analogy with hypersonic flow past blunt-nosed cylinders is considered. Sakurai (1953, 1954) obtained a solution for the flow field behind a propagating blast wave by expanding the flow variables in power series of 1/M2, where M is the blast wave Mach number, and determining the coefficients of the first two terms in the series. Here the work is extended to include third-order terms. Third-order theory is shown to improve the prediction of shock wave shapes and surface pressure distribution on hemisphere-cylinder configurations at M = 7·7 and 17·18.

Type
Research Article
Copyright
© 1960 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

Casaccio, A. 1959 Theoretical pressure distribution on a hemisphere-cylinder combination. J. Aero Sci., 26, 634.Google Scholar
Feldman, S. 1959 A numerical comparison between exact and approximate theories of hypersonic inviscid flow past slender blunt-nosed bodies. AVCO Everett Research Report 71.Google Scholar
Hayes, W. P. 1947 On hypersonic similitude. Quart. Appl. Math., 5, 1056.Google Scholar
Lees, L. & Kubota, T. 1957 Inviscid hypersonic flow over blunt-nosed slender bodies. J. Aero. Sci. 24, 195202.Google Scholar
Lin, S. C. 1954 Cylindrical shock waves produced by instantaneous energy release. J. Appl. Phys., 25, 547.Google Scholar
Mel'nikova, N. S. 1954 Zh. Mekhanika 3, 2535.
Sakurai, A. 1953 On propagation and structure of the blast wave. I. J. Phys. Soc. Japan, 8, 6629.Google Scholar
Sakurai, A. 1954 On propagation and structure of the blast wave. II. J. Phys. Soc. Japan, 9, 25666.Google Scholar
Sedov, L. I. 1946 Propagation of strong blast waves. Prikl. Mat. Mekh., 10, 24150.Google Scholar
Swigart, R. J. 1960 Third-order cylindrical blast-wave theory and its analogy to the flow about hemisphere-cylinder configurations in high speed flight. Lockheed Missiles and Space Division Report no. 288210.Google Scholar
Sychev, V. V. 1960 On the theory of hypersonic gas flow with a power-law shock wave. Prikl. Mat. Mekh., 24, 51823.Google Scholar
Taylor, G. I. 1950 The formation of a blast wave by a very intense explosion. Proc. Roy. Soc. A, 201, 15986.Google Scholar