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An extension of the linearized theory of supersonic flow past quasi-cylindrical bodies, with applications to wing-body interference

Published online by Cambridge University Press:  28 March 2006

R. C. Lock
R. C. Lock
Affiliation:
Aerodynamics Division, National Physical Laboratory, Teddington
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Abstract

An extension of the linearized theory of supersonic flow past quasi-cylindrical bodies of almost circular cross-section has been found which enables a direct calculation to be made of the overall forces on wings mounted on such bodies, subject to certain restrictions on the plan-form. The method is applied to two examples: (i) the effect of an arbitrary body distortion on static stability at supersonic speeds; and (ii) the effect of wing-body interference on rectangular wings mounted on a cylindrical body. The drag calculations in the second example are compared with the results of the supersonic area rule, which is found to be in error for moderate values of the ratio of wing chord to body radius, though the discrepancy is not serious from a practical point of view.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 4 , Issue 1 , May 1958 , pp. 33 - 63
Copyright
© Cambridge University Press

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References

Fraenkel, L. E. 1958 The wave drag of wing-quasi-cylinder combinations at zero incidence. Aero. Quart. 9, 55.Google Scholar
Harmon, S. M. 1947 Theoretical supersonic wave drag of untapered sweptback and rectangular wings at zero lift, Nat. Adv. Comm. Aero., Wash., Tech. Note no. 1449.Google Scholar
Jeffreys, H. & Jeffreys, B. S. 1956 Methods of Mathematical Physics, 3rd Ed. Cambridge University Press.
Jones, R. T. 1953 Theory of wing-body drag at supersonic speeds, Nat. Adv. Comm. Aero., Wash., Rep. no. 1284.Google Scholar
Lock, R. C. 1957 A note on the application of the supersonic area rule to the determination of the wave drag of rectangular wings, J. Fluid Mech. 2, 575.Google Scholar
Lomax, H. & Heaslet, M. A. 1956 Recent developments in the theory of wing-body wave drag, J. Aero. Sci. 23, 1061.Google Scholar
Mersman, W. A. 1954 Numerical calculation of certain inverse Laplace transforms Proc. Intern. Cong. Math., Amsterdam, 2.Google Scholar
Nielsen, J. N. & Pitts, W. C. 1952 Wing-body interference at supersonic speeds with an application to combinations with rectangular wings, Nat. Adv. Comm. Aero., Wash., Tech. Note no. 2677.Google Scholar
Nielsen, J. N. 1955 Quasi-cylinder theory of wing-body interference at supersonic speeds and comparison with experiment, Nat. Adv. Comm. Aero., Wash., Rep. no. 1252.Google Scholar
Nielsen, J. N. 1957 Tables of characteristic functions for solving boundary value problems of the wave equation with application to supersonic interference, Nat. Adv. Comm. Aero., Wash., Tech. Note no. 3873.Google Scholar
Pol, B. Van Der & Bremmer, H. 1950 Operational Calculus. Cambridge University Press.
Randall, D. G. 1955 Supersonic flow past quasi-cylindrical bodies of almost circular cross-section, Roy. Air. Est. Tech. Note Aero. no. 2404. (Aero. Res. Council., Lond., Tech., Note no. 18492.)Google Scholar
Sheppard, L. M. 1957 The wave drag of exposed rectangular wings, Roy. Air. Est. Tech. Note Aero. no. 2494. (Aero. Res. Counc., Lond., Tech. Note. no. 19318.)Google Scholar
Ward, G. N. 1955 Linearised Theory of Steady High-speed Flow. Cambridge University Press.
Watson, G. N. 1944 A Treatise on the Theory of Bessel Functions, 2nd Ed. Cambridge University Press.