Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-16T09:43:01.527Z Has data issue: false hasContentIssue false

XXXIII.—Applications of Elliptic Functions to Wind Tunnel Interference

Published online by Cambridge University Press:  14 February 2012

Summary

A general formula is obtained for the interference velocity when an aerofoil with elliptically distributed circulation is in a closed or open wind tunnel of any cross-section. The mapping of the section on the interior of a circle is given in terms of the Jacobian elliptic functions appropriate to the ellipse and rectangle. The result is worked out for an aerofoil which spans the focal distance in a tunnel whose section is an ellipse.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1946

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

REFERENCES TO LITERATURE

Glauert, H., 1930. Elements of Aerofoil and Airscrew Theory, Cambridge, 190, 191.Google Scholar
Glauert, H., 1932. “Wind Tunnel Interference on Aerofoils”, R. & M., No. 1470, II.Google Scholar
Milne-Thomson, L. M., 1938. Theoretical Hydrodynamics, London, 334.Google Scholar
Milne-Thomson, L. M., 1940. “Hydrodynamical Images”, Proc. Camb. Phil. Soc., XXXVI, 246.Google Scholar
Neville, E. H., 1944. Jacobian Elliptic Functions, Oxford, 315.Google Scholar
Pistolesi, E., 1932. Aerodinamica, Turin, 318.Google Scholar
Rosenhead, L., 1933. “The Aerofoil in a Wind Tunnel of Elliptic Section”, Proc. Roy. Soc., A, CXL, 579604.Google Scholar
Rosenhead, L.. 1933. “Interference due to Walls of a Wind Tunnel”, Proc. Roy. Soc., A, CXLII, 308320.Google Scholar