Hostname: page-component-7479d7b7d-jwnkl Total loading time: 0 Render date: 2024-07-08T22:21:42.505Z Has data issue: false hasContentIssue false

An Alternative Analytical Method for Ground-Effect Aerofoils

Published online by Cambridge University Press:  07 June 2016

T Kida
Affiliation:
College of Engineering, University of Osaka Prefecture
Y Miyai
Affiliation:
College of Engineering, University of Osaka Prefecture
Get access

Summary

An alternative analytical method is applied to interference problems of an aerofoil very close to the ground, such as a free surface, a solid wall, and a slipstream. The method of matched asymptotic expansions on the small ground clearance is used in the governing integral equation and this analysis is different from Widnall and Barrows’s analysis. They used the matched asymptotic method in the differential equation. To show that the present method is reasonable, the problem of a ground-effect aerofoil in uniform fluid flow is considered and it is found possible to obtain the same results as those of Widnall and Barrows for the case of small ground clearance. By comparing with some earlier studies, it is found that the asymptotic method used with small ground clearance is valid for a clearance less than about 0.3 of the chord length. Next, the interference of ground-effect aerofoils in the channel wall, in a free jet stream, and in a slipstream are examined, and it is found that the present method can be easily applied to these problems.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1976

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

1 Widnall, S E Barrows, T M An analytical solution for two - and three-dimensional wings in ground effect. Journal of Fluid Mechanics, Vol 41, p 769, 1970.CrossRefGoogle Scholar
2 Tomotika, S Hasimoto, Z Urano, K The forces acting on an aerofoil of approximate Joukowski type in a stream bounded by a plane wall. Quarterly Journal of Mechanics and Applied Mathematics, Vol 4, p 289, 1951.CrossRefGoogle Scholar
3 Braunes, G Lincke, W Die Auftriebsverteilung einer ebenen Platte in Bodennähe. Zeitschrift für Flugwissenschaften, Vol 10, p 282, 1962.Google Scholar
4 Ashley, H Widnall, S Landahl, M T New directions in lifting-surface theory. AIAA Journal, Vol 3, January 1965.CrossRefGoogle Scholar
5 Maskew, B On the influence of camber and non-planar vortex wake on wing characteristics in ground effect, ARC Current Paper 1264, 1971.Google Scholar
6 Strand, T Roya, W W Fuj, T Cruise performance of channel-flow ground effect machines. Journal of the Aerospace Sciences, Vol 29, p 702, 1962.CrossRefGoogle Scholar
7 Kida, T Miyai, Y A note on the lift coefficient of a thin jet-flapped airfoil. Transactions of the Japan Society for Aeronautical and Space Sciences, Vol 15, p 163, 1973.Google Scholar
8 Glauert, M B The method of images in shear flow. Journal of Fluid Mechanics, Vol 9, p 561, 1960.CrossRefGoogle Scholar
9 Ting, L Liu, C H Thin airfoil in nonuniform parallel streams. Journal of Aircraft, Vol 6, p 173, 1969.Google Scholar
10. Van Dyke, M Perturbation Methods in Fluid Mechanics, p 164, Academic Press, New York, 1964.Google Scholar
11 Cooke, G C Jet-flapped airfoils in ground proximity, TR AE 6804, Rensselaer Polytechnic Institute, Troy, New York, January 1968.Google Scholar
12 Barrows, T M Widnall, S E Richardson, H H The use of aerodynamic lift for application to high speed ground transportation. Department of Transportation, Washington, DC, FRA-RT-71-56, PB-197242, June 1970.Google Scholar
13 Minami, K Nakatani, H Miyai, Y Two-dimensional ram wing in parallel walls. Transactions of the Japan Society for Aeronautical and Space Sciences, Vol 17, p 10, 1974.Google Scholar