Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-18T17:57:34.850Z Has data issue: false hasContentIssue false
  • English
  • Français

A cross-flow theory for the normal force on inclined bodies of revolution of large thickness ratio

Published online by Cambridge University Press:  28 March 2006

R. N. Cox
R. N. Cox
Affiliation:
Armament Research and Development Establishment, Fort Halstead, Kent
Get access Rights & Permissions [Opens in a new window]

Abstract

In the Munk-Jones cross-flow theory for slender bodies of revolution (Munk 1924; Jones 1946), the cross force on an inclined body is obtained by replacing the three-dimensional flow by a non-steady two-dimensional flow, and by equating the cross-force to the rate of change of cross-flow momentum on a transverse lamina moving past the body with the free stream velocity U0. The result obtained for the lift force L on an element of the body is, for small angles of attack α, $dL|dx = \frac {1}{2} \rho U^2_0(dA|dx)2 \alpha$ where A is the cross-sectional area of the body, and, by integration $L = \frac {1}{2} \rho U^2_0 A_B 2 \alpha$ where AB is the base area of the body.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 2 , Issue 5 , July 1957 , pp. 446 - 448
Copyright
© 1957 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

Cox, R. N. & Maccoll, J. W. 1956 Recent contributions to basic hydrodynamics. Paper presented at Symposium on Naval Hydrodynamics, Washington.
Jones, R. T. 1946 Properties of low-aspect-ratio pointed wings at speeds below and above the speed of sound, Nat. Adv. Comm. Aero., Wash., Tech. Note no. 1032.Google Scholar
Kopal, Z. & Staff of the Computing Section, Center of Analysis, M.I.T. 1947 Tables of supersonic flow around yawing cones, Massachusetts Institute of Technology, Tech. Rep. no. 3.Google Scholar
Munk, M. M. 1924 Elements of wing section theory and of the wing theory, Nat. Adv. Comm. Aero., Wash., Rep. no. 191.Google Scholar