Hostname: page-component-848d4c4894-pjpqr Total loading time: 0 Render date: 2024-06-14T01:23:09.191Z Has data issue: false hasContentIssue false

The calculation of inviscid hypersonic flow past the lower surface of a delta wing

Published online by Cambridge University Press:  29 March 2006

E. A. Akinrelere
Affiliation:
Department of Mathematics, University of Ife, Ibadan, Nigeria

Abstract

Kennett (1963) calculated the hypersonic flow fields past the lower (compression) surface of a delta wing, using the one-strip approximation of the method of integral relations. He obtained solutions only for wings with detached shocks. In this paper, his solutions are extended to wings with attached shocks. Here, the sonic point is inboard of the leading edge which makes the problem mixed. The solutions compare very well with the numerical solutions of the full equations by Babaev (1963a) both in the shock shapes and pressure distributions for various Mach numbers.

Type
Research Article
Copyright
© 1970 Cambridge University Press

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

Babaev, D. A. 1963a Numerical solution of the problem of supersonic flow past the lower surface of a delta wing. A.I.A.A.J. 1, 2224.Google Scholar
Babaev, D. A. 1963b Solution round the upper surface of a delta wing. U.S.S.R. Comp. Maths. and Math. Phys. 2, 296.Google Scholar
Brook, J. W. 1965 The calculation of non-linear supersonic flow by the method of integral relations. Grunman Aircraft Eng. Corporation Contract no. A.F. 33(657).Google Scholar
Bulakh, B. M. 1961 Some questions concerning the theory of conical flow. Prikl. Matem. Mekhan. 25, 339.Google Scholar
Dorodnitcyn 1959 A contribution to the solution of mixed problems of transonic aerodynamics. Advances in Aero Sciences, 2, 832844.Google Scholar
Fowell, L. R. 1956 Exact and approximate solutions for the supersonic delta wing. J. Aero. Sci. 23, 709.Google Scholar
Hida, K. 1965 Thickness effect on the force of slender delta wings in hypersonic flow. A.I.A.A. J. 3, 427.Google Scholar
Kennett, H. 1963 The inviscid hypersonic flow on the windward side of a delta wing. Inst. Aero. Sci. paper no. 63–65.Google Scholar
Kuchemann, D. 1964 Hypersonic aircraft and their aerodynamic problem. Tech. Note R. Aircr. Establ. 849.Google Scholar
Maslen, B. H. 1952 Supersonic conical flow. NACA T.N. 2651.Google Scholar
Messiter, A. F. 1963 Lift of slender delta wings according to Newtonian theory. A.I.A.A.J. 1, 794.Google Scholar
Squire, L. C. 1967 Calculated pressure distribution on thick conical wings at high speeds. Aeronaut. Quart. 18, 185.Google Scholar
Squire, L. C. 1968 Calculated pressure distribution and shock shapes on conical wings. Aeronaut. Quart. 19, 31.Google Scholar