Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-17T17:13:24.411Z Has data issue: false hasContentIssue false

On the Initial Structure of the Interaction between Wings and Bodies at Supersonic Speeds

Published online by Cambridge University Press:  07 June 2016

K. Stewartson*
Affiliation:
Department of Mathematics, University College, London
Get access

Summary

Using the methods of the linearised theory of supersonic flow, the shape of the pressure curve (or the potential curve) on the root chord of a wing, extending symmetrically from a fuselage of circular cylindrical cross-section, and near its leading edge is calculated in the following three cases: (a) the wing has a rounded leading edge and is non-lifting, (b) the wing is a flat plate at incidence with a supersonic leading edge, (c) the same as (b) except that the leading edge is subsonic. In all cases the fuselage is non-lifting and the plan form of the wing is a half delta. The results in (a) and (b) can be expressed in terms of elementary functions; the results in (b) and (c) are tabulated.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1968

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. Nielsen, J. N. Supersonic wing-body interference. Doctoral Thesis, California Institute of Technology, 1951.Google Scholar
2. Nielsen, J. N. Tables of characteristic functions for solving boundary value problems of the wave equation with application to supersonic interference. NACA TN 3875, 1957.Google Scholar
3. Stewartson, K. On wing-body interference in supersonic flow. Mathematika, Vol. 13, pp. 121-139, 1966.CrossRefGoogle Scholar
4. Bagley, J. A. Some aerodynamic principles for the design of swept wings. RAE Report 2650, 1961.CrossRefGoogle Scholar
5. Jones, D. S. Supersonic flow and wing-body interference. Mathematika, Vol. 14, pp 68-93, 1967.Google Scholar
6. Stewartson, K. On the linearised potential theory of unsteady supersonic motion. Quarterly Journal of Mechanics and Applied Mathematics, Vol. 3, pp. 182-199, 1950.CrossRefGoogle Scholar
7. Byrd, P. F. and Friedman, M. D. Handbook of elliptic integrals for engineers and physicists. Springer, Berlin, 1954.CrossRefGoogle Scholar