Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-25T07:10:20.210Z Has data issue: false hasContentIssue false
  • English
  • Français

A Combination of the Quasi-Cylinder and Slender Body Theories

Published online by Cambridge University Press:  28 July 2016

C. H. E. Warren  and
L. E. Fraenkel
C. H. E. Warren
Affiliation:
Royal Aircraft Establishment
L. E. Fraenkel
Affiliation:
Imperial College
Get access Rights & Permissions [Opens in a new window]

Extract

The Quasi-Cylinder and slender body theories for the supersonic flow past bodies of revolution have been much used in recent years because, for reasonably simple body profiles, these theories permit a simple and rapid calculation of the first-order pressure distributions and aerodynamic forces. It is assumed in both theories that the body profile slope is small; in the quasi-cylinder theory it is also assumed that the body radius is nearly constant, whereas in the slender body theory it is assumed that the thickness ratio of the body (maximum diameter/length) is small.

In the present note these two theories are combined completely. From a strictly mathematical point of view nothing is gained by this combination, and, furthermore,application of the combined theory to a particular case is in general a little more laborious than application of either of the original theories.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 59 , Issue 532 , April 1955 , pp. 305 - 308
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. Lighthill, M. J. (1945). Supersonic Flow Past Bodies of Revolution. A.R.C. R. & M. 2,003, 1945.Google Scholar
2. Ward, G. N. (1948). The Approximate External and Internal Flow Past a Quasi-Cylindrical Tube Moving at Supersonic Speeds. Quarterly Journal of Mechanics and Applied Mathematics, 1, 2, pp. 225-245, June 1948.Google Scholar
3. Lighthill, M. J. (1948). Supersonic Flow Past Slender Bodies of Revolution the Slope of whose Meridian Section is Discontinuous.Quarterly Journal of Mechanics and Applied Mathematics, 1, 1, pp. 90-102, March 1948.Google Scholar
4. Fraenkel, L. E. (1951). The Theoretical Wave Drag of Some Bodies of Revolution. A.R.C. R. & M. 2,842, 1951.Google Scholar
5. Ward, G. N. (1949). Supersonic Flow Past Slender Pointed Bodies.Quarterly Journal of Mechanics and Applied Mathematics, 2, 1, pp. 75-97, March 1949.Google Scholar
6. Carter, W.C. (1950). Theoretical Supersonic Pressure Distributions on Non-Yawing Cone Cylinders with Boat-Tails. Aberdeen B.R.L. Memo. Rep. 514, 1950.Google Scholar
7. Fraenkel, L. E. (1953). Calculations of the Pressure Distributions and Boundary Layer Development on a Body of Revolution with Various Parabolic Afterbodies at Supersonic Speeds. R.A.E. Report, 1953, to be published in the R. & M. series.Google Scholar