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Nonlinear extreme ground effect on thin wings of arbitrary aspect ratio

Published online by Cambridge University Press:  20 April 2006

E. O. Tuck
E. O. Tuck
Affiliation:
Department of Applied Mathematics, University of Adelaide, GPO Box 498, Adelaide, South Australia 5001
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Abstract

Air flows past a fixed thin body of a general planform, at a non-uniform small clearance from a plane ground surface. The flow beneath the body is described by a linear two-dimensional partial differential equation, in which the clearance appears as an input non-constant coefficient. Solutions are required subject to separate leading-edge and (nonlinear) trailing-edge boundary conditions, at the edge contour of the planform. The transition points between leading and trailing edge are not necessarily at the lateral extremities of this contour, and are to be determined as part of the solution. As an illustration, a solution is obtained for a circular planform with an exponentially varying clearance. The general problem is relevant to vehicle aerodynamics, especially for racing cars, and some qualitative discussion of the nature of the negative-lift ground-effect problem for such vehicles, and of the effect of ‘skirts’, is presented here.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 136 , November 1983 , pp. 73 - 84
Copyright
© 1983 Cambridge University Press

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References

Newman, J. N. 1982 Analysis of small-aspect-ratio lifting surfaces in ground effect J. Fluid Mech. 117, 305–314.Google Scholar
Strand, T., Royce, W. W. & Fujita, T. 1962 Cruise performance of channel-flow ground effect machines J. Aero. Sci. 29, 702–711.Google Scholar
Tuck, E. O. 1978 Unsteady small-gap ground effects. Engng Sci. Rep. 78–810, Calif. Inst. of Tech., Pasadena.Google Scholar
Tuck, E. O. 1980 A non-linear unsteady one-dimensional theory for wings in extreme ground effect J. Fluid Mech. 98, 33–47.Google Scholar
Tuck, E. O. 1981 Steady flow and static stability of airfoils in extreme ground effect J. Engng Maths 15, 89–102.Google Scholar
Tuck, E. O. 1982 An inviscid theory for sliding flexible sheets. J. Austral. Math. Soc. (Ser. B) 23, 403–810.Google Scholar
Tuck, E. O. & Bentwich, M. 1983 Sliding sheets: lubrication with comparable viscous and inertia forces. J. Fluid Mech. 135, 51–810.Google Scholar
Widnall, S. & Barrows, T. M. 1970 An analytic solution for two- and three-dimensional wings in ground effect J. Fluid Mech. 41, 769–792.Google Scholar
Wise, C. E. 1979 Will the wing car fly at Indy? Machine Design (May), pp. 24–31.