Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-27T05:32:56.961Z Has data issue: false hasContentIssue false
  • English
  • Français

Wing-body interaction in supersonic flow past dihedral wings

Part of: Supersonic flows

Published online by Cambridge University Press:  26 February 2010

R. T. Waechter
R. T. Waechter
Affiliation:
Department of Mathematics, University of Melbourne, Melbourne, Australia.
Get access

Extract

The initial structure of wing-body interaction in supersonic flow was first investigated by Nielsen (1951), who analysed the steady supersonic inviscid flow past a proto-type wing-body combination consisting of an unswept thin wing at incidence and lying approximately in the axial plane of a non-lifting cylindrical body with a circular cross-section. In particular, he obtained the first two terms in the series expansion of the velocity potential at the start of the root chord where the wing and body meet. More recently, further theoretical studies which relate the problem to similar problems in diffraction theory have been carried out by Stewartson (1966), Jones (1967), Waechter (1969), and Clark (1970). In addition, Stewartson (1968) has extended Nielsen's formula for the following cases:

(a) the lifting wing with rounded leading edge,

(b) the flat plate wing at incidence with supersonic leading edge,

(c) the flat plate wing at incidence with subsonic leading edge in both symmetrical and antisymmetrical cases.

MSC classification

Secondary: 76J99: None of the above, but in this section
Type
Research Article
Information
Mathematika , Volume 18 , Issue 2 , December 1971 , pp. 188 - 195
Copyright
Copyright © University College London 1971

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

Clark, R. W., Proc. Cambridge Philos. Soc. (1970), 68, 719–729.CrossRefGoogle Scholar
Erdélyi, A. (ed), Tables of integral transforms, Vol. I (McGraw-Hill, 1954).Google Scholar
Erdélyi, A. (ed), Tables of integral transforms, Vol. II (McGraw-Hill, 1955).Google Scholar
Jones, D. S., Mathematika, 14 (1967), 68–93.CrossRefGoogle Scholar
Nielsen, J. N., “Thesis ”, California Institute of Technology, 1951.Google Scholar
Stewartson, K., Mathematika, 13 (1966), 121–139.CrossRefGoogle Scholar
Stewartson, K., Aeronautical Quarterly, 19 (1968), 135–148.CrossRefGoogle Scholar
Waechter, R. T., Mathematika, 16 (1969), 122–142.CrossRefGoogle Scholar
Waechter, R. T., J. Inst. Maths. Applies. (1970), 6, 310–318.CrossRefGoogle Scholar