Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-28T05:46:56.972Z Has data issue: false hasContentIssue false
  • English
  • Français

Supersonic Bangs

Part II

Published online by Cambridge University Press:  07 June 2016

P. Sambasiva Rao
P. Sambasiva Rao*
Affiliation:
Department of Mathematics, The University, Manchester
Get access

Summary

The non-linear theory of supersonic bangs, obtained in Part 1 for a body accelerating along a straight path, is extended to include curved paths. The basic theory remains the same. The important parameter, which appears in the theory, is the acceleration component along the ray, the rays being lines drawn from points on the flight path at an angle cos-1 (1/M) with the direction of motion. It is found that the only essential effect of the curvature of the path is in the modification of this acceleration component to include a term due to the transverse acceleration. With this modification the main results are formally the same as in Part I.

The strength of the bow shock is obtained, and it is found that the effect of the curvature of the path is more pronounced at points on the inside of the curve, and in general it becomes greater as the distance from the body increases. A simple asymptotic formula is obtained which predicts the strength of the shock with an error of less than five per cent, at distances of the order of a hundred body-lengths. Finally, the theory is compared and contrasted with the recent work by Warren.

Type
Research Article
Information
Aeronautical Quarterly , Volume 7 , Issue 2 , May 1956 , pp. 135 - 155
Copyright
Copyright © Royal Aeronautical Society. 1955

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. Sambasiva Rao, P. Supersonic Bangs, Part I. The Aeronautical Quarterly, February 1956.Google Scholar
2. Whitham, G. B. The Flow Pattern of a Supersonic Projectile. Communications on Pure dnd Applied Mathematics,Vol. 5, pp. 301-48, August 1952.Google Scholar
3. Warren, C. H. E. An Estimation of the Occurrence and Intensity of Sonic Bangs. R.A.E. Technical Note Aero. 2334, 1954.Google Scholar
4. Warren, C. H. E. Sonic Bangs. A Qualitative Explanation. R.A.E. Technical Note Aero. 2192, 1952.Google Scholar
5. Lilley, G. M., Westley, R., Yates, A. H. and Busing, J. R. On Some Aspects of the Noise Propagation from Supersonic Aircraft. Journal of the Royal Aeronautical Society, Vol. 57, pp. 396–414, June 1953Google Scholar
6. Whitham, G. B. The Propagation of Spherical Blast. Proc. Roy. Soc. A., Vol. 203, pp. 571–581, 1950. Google Scholar