Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-19T07:09:46.290Z Has data issue: false hasContentIssue false
  • English
  • Français

The lift on an aerofoil in starting flow

Published online by Cambridge University Press:  20 April 2006

J. M. R. Graham
J. M. R. Graham
Affiliation:
Department of Aeronautics, Imperial College, London SW7 2BY
Get access Rights & Permissions [Opens in a new window]

Abstract

An analysis is given of the initial development of the lift on an aerofoil in inviscid starting flow. It is shown that because of the spiral shape of the vortex sheet shed initially from the trailing edge the lift and drag are both singular at the start of impulsive motion. This result is in contrast with the prediction of finite forces by methods that assume the vortex sheet to be initially planar. The effect of a steady rate of change of incidence following the sudden onset of transverse (heaving) motion of an aerofoil in a steady stream is also discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 133 , August 1983 , pp. 413 - 425
Copyright
© 1983 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

Basu, B. C. & Hancock, G. J. 1978 The unsteady motion of a two-dimensional aerofoil in incompressible inviscid flow J. Fluid Mech. 87, 159.Google Scholar
Brown, C. E. & Michael, W. H. 1955 On slender delta wings with leading edge separation. NACA Tech. Note 3430.Google Scholar
Chow, C.-Y. & Huang, M.-K. 1982 The initial lift and drag of an impulsively started aerofoil of finite thickness J. Fluid Mech. 118, 393.Google Scholar
Giesing, J. P. 1968 Non-linear two-dimensional unsteady potential flow with lift J. Aircraft 5, 135.Google Scholar
Graham, J. M. R. 1977 Vortex shedding from sharp edges. Imperial College Aero. Rep. 77–06.Google Scholar
Graham, J. M. R. 1980 The forces on sharp-edged cylinders in oscillatory flow at low Keulegan-Carpenter numbers J. Fluid Mech. 97, 331.Google Scholar
Moore, D. W. 1974 A numerical study of the roll-up of a finite vortex sheet J. Fluid Mech. 63, 225.Google Scholar
Pullin, D. I. 1978 The large-scale structure of unsteady self-similar rolled-up vortex sheets J. Fluid Mech. 88, p. 401.Google Scholar
Rott, N. 1956 Diffraction of a weak shock with vortex generation J. Fluid Mech. 1, 111.Google Scholar