Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-24T17:41:25.926Z Has data issue: false hasContentIssue false

Lower Bounds for the Pressure Jumps of the Shock Waves of a Supersonic Transport of Given Length

Published online by Cambridge University Press:  07 June 2016

L B Jones*
Affiliation:
University of Bradford
Get access

Summary

In an earlier paper the lower bounds for the pressure jumps across the bow shock waves of a supersonic transport were derived, it being assumed that all the shocks had coalesced into either the bow or rear shocks, but not that the shocks were at such a great distance (asymptotic) that they had the same strength. In this paper the results of the earlier work are developed so that the lower bounds for the pressure jumps across shock waves propagating through a homogeneous atmosphere are determined by considering bow and rear shock waves simultaneously.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1972

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. Jones, L B Lower bounds for the pressure jump of the bow shock of a supersonic transport. Aeronautical Quarterly, Vol XXI, p 1, February 1970.Google Scholar
2. Jones, L B Lower bounds for sonic bangs. Journal of the Royal Aeronautical Society, Vol 65, p 443, June 1961.Google Scholar
3. Jones, L B Lower bounds for sonic bangs in the far field. Aeronautical Quarterly, Vol XVIII, p 1, February 1967.Google Scholar
4. Whitham, G B The flow pattern of a supersonic projectile. Communications on Pure and Applied Mathematics, Vol 5, p 301, 1952.Google Scholar
5. Walkden, F The shock pattern of a wing-body combination far from the flight path. Aeronautical Quarterly, Vol IX, p 164, May 1958.Google Scholar
6. Randall, D G Methods of estimating distributions and intensities of sonic bangs. ARC R & M 3113, August 1957.Google Scholar
7. Hayes, W D Brief review of the basic theory. Sonic Boom Research, NASA SP-147, p 3, April 1967.Google Scholar
8. Hayes, W D The ARAP sonic boom computer program. Sonic Boom Research, NASA SP-180, p 151, May 1968.Google Scholar
9. Hayes, W D Geometric acoustics and wave theory. Sonic Boom Research, NASA SP-180, p 159, May 1968.Google Scholar
10. Seebass, R Minimum sonic boom shock strengths and overpressures. Nature, Vol 221, p 651, February 1969.Google Scholar
11. Seebass, R Sonic boom theory. Journal of Aircraft, Vol 6, p 177, May/June 1969.CrossRefGoogle Scholar
12. Ferri, A Ismail, A Effect of lengthwise lift distribution on sonic boom of SST configurations. AIAA Journal, Vol 7, p 1538, August 1969.Google Scholar
13. George, A R Lower bounds for sonic booms in the midfield. AIAA Journal, Vol 7, p 1542, August 1969.CrossRefGoogle Scholar
14. McLean, F E Some nonasymptotic effects on the sonic boom of large airplanes. NASA TN D-2877, June 1965.Google Scholar