Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-28T05:24:39.010Z Has data issue: false hasContentIssue false

Hypersonic Swirling Flow past Blunt Bodies

Published online by Cambridge University Press:  07 June 2016

Roger Smith*
Affiliation:
Loughborough University of Technology
Get access

Summary

The effect of swirl on the high speed flow past blunt bodies is analysed by assuming constant density in the region between the shock wave and the body. For small swirl the stand-off distance is only slightly affected, but it is shown that there is a critical value of the swirl parameter which, if exceeded, will cause a jump in the position of the shock. This is demonstrated by solving the full constant-density equations for the flow past a sphere and by a perturbation expansion in powers of the density ratio across the shock for a more general body shape. The perturbation solution shows that the pressure coefficient on the body is constant at the critical swirl number.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1973

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

1 Smith, R An investigation of supersonic swirling jets. Aeronautical Quarterly, Vol 24, p 167, August 1973.Google Scholar
2 Antonov, A M Hayes, W D Calculation of hypersonic flow about blunt bodies. Journal of Applied Mathematics and Mechanics, Vol 30, No 2, 1966.Google Scholar
3 Cole, J D Brainerd, J J Slender wings at high angles of attack in hypersonic flows. Hypersonic Flow Research, p 303, Academic Press, 1962.Google Scholar
4 Hayes, W D Probstein, R F Hypersonic Flow Theory, p 224, Academic Press, 1966.Google Scholar
5 Hayes, W D Probstein, R F Hypersonic Flow Theory, p 238, Academic Press, 1966.Google Scholar
6 Hayes, W D Probstein, R.F Hypersonic Flow Theory, p 303, Academic Press, 1966.Google Scholar
7 Hida, K An approximate study of the detached shock wave in front of a circular cylinder and sphere. Journal of the Physical Society of Japan, Vol 8, p 740, 1953.CrossRefGoogle Scholar
8 Lighthill, M J Dynamics of a dissociating gas. Part 1, Equilibrium flow. Journal of Fluid Mechanics, Vol 2, p 1, 1957.Google Scholar
9 Van Dyke, M D Perturbation Methods in Fluid Mechanics, p 207, Academic Press, 1964.Google Scholar