Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-20T04:44:44.254Z Has data issue: false hasContentIssue false
  • English
  • Français

Aerodynamic coefficients and longitudinal stability of sail aerofoils

Published online by Cambridge University Press:  20 April 2006

A. D. Sneyd
A. D. Sneyd
Affiliation:
University of Waikato, Private Bag, Hamilton, New Zealand
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper extends previous theoretical work on inextensible sails in two ways. First, the asymptotic expansion of sail camber in terms of the small angle of attack α is continued to include terms of order α3, because only at this order can one obtain information about the longitudinal static stability of a sail aerofoil. Secondly, to describe aerofoils such as those found in pterodactyl or bat wings, we also consider pretensioned membranes which acquire camber by stretching the surface material, or bending the supporting structure. Approximate formulae are derived for the aerodynamic coefficients in the limits of large and small tension, and the effect of sail and structural flexibility on these coefficients is discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 149 , December 1984 , pp. 127 - 146
Copyright
© 1984 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

Bundock, M. S. 1980 M.Sc. dissertation, University of Waikato.
Chalmers, L. G. 1966 Q. J. Mech. Appl. Maths 19, 221–231.
Haselgrove, M. K. & Tuck, E. O. 1976 Stability properties of the two-dimensional sail model. In New England Sailing Yacht Symp. Proc. Soc. Naval Arch. and Mar. Engrs, New York.
Lipschutz, M. M. 1969 Theory and Problems of Differential Geometry. McGraw-Hill.
Nielsen, J. N. 1963 Trans. ASME E: J. Appl. Mech. 30, 435–442.
Sneyd, A. D., Bundock, M. S. & Reid, D. F. 1982 Am. Naturalist 120, 455–477.
Thwaites, B. 1961 Proc. R. Soc. Lond. A 261, 402–422.
Vanden-Broeck, J.-M. 1982 Phys. Fluids 25, 420–423.
Vanden-Broeck, J.-M. & Keller, J. B. 1981 Phys. Fluids 24, 552–555.