Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-16T17:12:44.092Z Has data issue: false hasContentIssue false

An Extension of the Method of Generalised Conical Flows for Lifting Wings in Supersonic Flow

Published online by Cambridge University Press:  07 June 2016

H. Portnoy*
Affiliation:
Royal College of Advanced Technology, Salford*
Get access

Summary

The method of generalised conical flows has previously been developed subject to the condition that the upwash divided by the streamwise co-ordinate to the power ĸ, where ĸ is the order of the conical flow, must have vanishing (ĸ+1)th derivative with respect to the conical co-ordinate. In the present paper this restriction is removed. The results are also used to discuss the effect of the application of the leading edge attachment condition on the wing pressure and geometry.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1963

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. Lomax, H. and Heaslet, M. A. Generalized Conical-Flow Fields in Supersonic Wing Theory. N.A.C.A. T.N. 2497, September 1951.Google Scholar
2. Lomax, H., Heaslet, M. A. and Fuller, F. B. Integrals and Integral Equations in Linearized Wing Theory. N.A.C.A. Report 1054, 1951.Google Scholar
3. Lance, G. N. The Lift of Twisted and Cambered Wings in Supersonic Flow. Aeronautical Quarterly, Vol. VI, May 1955.Google Scholar
4. Lance, G. N. Errata to Ref. 3, Aeronautical Quarterly, Vol. VI, November 1955.Google Scholar
5. Smith, J. H. B. and Mangler, K. W. The Use of Conical Camber to Produce Flow Attachment at the Leading Edge of a Delta Wing and to Minimize the Lift-Dependent Drag at Sonic and Supersonic Speeds. A.R.C. 19, 961, September 1957.Google Scholar
6. Van Der Pol, B. and Bremmer, H. Operational Calculus, Based on the Two-Sided Laplace Integral. Cambridge University Press, 1950.Google Scholar
7. Söhngen, H. Die Lösungen der Integralgleichung Mathematische Zeitschrift, Vol. 45, p. 245. 1939.Google Scholar
8. Sears, W. R. (Editor). General Theory of High Speed Aerodynamics. Section D (by Heaslet, M. A. and Lomax, H.), Oxford, 1955.Google Scholar
9. Heuman, C. Tables of Complete Elliptic Integrals. Journal of Mathematics and Physics, Vol. 20, pp. 127206, 1941.Google Scholar
10. Byrd, P. F. and Friedman, M. D. Handbook of Elliptic Integrals for Engineers and Physicists. Springer, Berlin, 1954.Google Scholar