Delta wings with shock-free cross flow
Author:
S. S. Sritharan
Journal:
Quart. Appl. Math. 43 (1985), 275-286
MSC:
Primary 76H05; Secondary 76J99
DOI:
https://doi.org/10.1090/qam/814226
MathSciNet review:
814226
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Abstract: It has been realized recently that in order to have a high level of maneuverability, supersonic delta wings should have a cross flow that is free of embedded shock waves. The conical cross flow sonic surface differs from that of plane transonic flow in many aspects. Well-known properties such as the monotone law are not true for conical cross flow sonic surfaces. Using a local analysis of the cross flow sonic line, relevant conditions for smooth cross flow are obtained. Using a technique to construct artificially a smooth sonic surface and an efficient numerical method to calculate the flow field, one obtains cones with smooth cross flow.
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D. Küchemann, The aerodynamic design of aircraft, Pergamon Press, 1978
Ph. Poisson-Quinton, Slender wings for civil military aircraft, Israel Journal of Technology, 16, 97–131, (1978)
W. H. Mason and D. S. Miller, Controlled supercritical cross flow on supersonic wings—An experiment validation, AIAA 13th Fluid and Plasma Dynamic Conference, Snowmass, CO, Paper No. 80-1421, July 14-16, 1980.
S. S. Sritharan, Nonlinear aerodynamics of conical delta wings, Ph.D. Thesis, August 1982, Applied Mathematics, University of Arizona.
S. S. Sritharan and A. R. Seebass, A finite area method for nonlinear supersonic conical flows, AIAA J., 22, 226–233 (1984)
A. A. Nikolskii and G. I. Taganov, Gas motion in a local supersonic region and conditions of potential flow breakdown, N.A.C.A. Technical Memorandum No. 1213, May 1949
M. D. Salas, Flow patterns near a conical sonic line, 17th Aerospace Sciences Meeting, New Orleans, LA, January 15–17, 1979, No. 79-0341
C. S. Morawetz, The mathematical approach to the sonic barrier, Bull. Amer. Math. Soc., 6, 2, 127–145 (1982)
H. H. Pearcey, The aerodynamic design of section shapes for swept wings, Adv. in Aeronautical Sciences, 3, (1962) 277–320
R. T. Whitcomb, Review of NASA supercritical airfoils, 9th Intl. Congress Aeronautical Sciences, Haifa, Israel, 1974
H. Sobieczky, N. J. Yu, K.-Y. Fung, and A. R. Seebass, New method for designing shock-free transonic configurations, AIAA J., 17, 7, 722–728 (1979)
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Article copyright:
© Copyright 1985
American Mathematical Society
