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Wing-body interaction in supersonic flow

Published online by Cambridge University Press:  26 February 2010

R. T. Waechter
R. T. Waechter
Affiliation:
School of Physical Sciences, Flinders University, Bedford Park, South AustraliaDepartment of Mathematics, University College, London
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Summary

This paper presents an analysis of two canonical problems for the steady supersonic inviscid flow past a wing-body combination with the body nonlifting and the wings at a very small angle of attack. Pressure distributions in the vicinity of the lines separating the interaction regions from the remainder of the wing and body are determined from asymptotic expansions by modifying a method due to Friedlander, who considered the diffraction of sound pulses by a cylinder. In a manner similar to Keller's geometrical theory of diffraction the results of the canonical problem are directly applicable to the case where the cross section of the body is any closed convex curve which meets the wings at right angles. In the first canonical problem, the leading edge of the wings has no sweepback, that is, it is normal to the body surface. Here results are compared with those of an approach using boundary layer methods by Stewartson and of a Green's function method by Jones. In the second problem which is even more important in practice and has been neglected in the literature, the leading edge of the wings has positive sweepback; our results are valid provided that the leading edge of the wings is supersonic.

Type
Research Article
Information
Mathematika , Volume 16 , Issue 1 , June 1969 , pp. 122 - 142
Copyright
Copyright © University College London 1969

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References

Chan, Y. Y. and Sheppard, L. M., Austr. Defence Science Service, W.R.E., HSA 18, 1965.Google Scholar
Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G., Higher transcendental functions, Vol. II (Bateman Manuscript Project, McGraw-Hill, 1953).Google Scholar
Friedlander, F. G., Comm. Pure Appl. Math., 7 (1954), 705–732.CrossRefGoogle Scholar
Jones, D. S., Mathematika, 14 (1967), 68–93.CrossRefGoogle Scholar
Keller, J. B., Proc. Symp. Appl. Math. Vol. VIII (ed. Graves, L. M., New York, 1958).Google Scholar
Neilsen, J. N.. Ph. D. Dissertation (Cal. Inst. Tech., 1951).Google Scholar
Neilsen, J. N., N.A.C.A. Tech. Note 3873, 1957.Google Scholar
Papadopoulos, V. M., Scientific Report 1391/10, Div. Eng. (Brown University, 1958).Google Scholar
Randall, D. G., R.A.E. Report Aero. 2676, 1963.Google Scholar
Stewartson, K., Mathematika, 13 (1966), 121–139.CrossRefGoogle Scholar
Waechter, R. T., Ph. D. Dissertation (Cambridge, 1966).Google Scholar
Ward, G. N., Linearized theory of steady high-speed flow (Cambridge University Press, 1955).Google Scholar