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Compressible Subsonic Flow in Two-dimensional Channels

Part II: The Application of the Theory to Problems of Channel Flow*

Published online by Cambridge University Press:  07 June 2016

L. C. Woods
L. C. Woods*
Affiliation:
Department of Applied Mathematics, University of Sydney
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Summary

The theory developed in Part I is applied to a number of problems of aeronautical interest, the most important of which is to the setting of “ streamline “ walls about a symmetrical aerofoil placed in the centre of a channel. It is shown how the position of the streamline wall can be deduced from the (experimentally determined) position of a constant pressure wall. This theory is applicable to symmetrical aerofoils of any given shape, and makes allowance for the presence of the aerofoil's wake. To illustrate the theory, and to test it by an extreme example, the flow is calculated about a circular cylinder, with a diameter about half the tunnel height, for both straight and constant pressure walls. The solid blockage is calculated in each case and compared with the standard first order theory. For this extreme example the standard theory fails badly for straight walls, but is reasonably accurate for constant pressure walls.

Type
Research Article
Information
Aeronautical Quarterly , Volume 6 , Issue 4 , November 1955 , pp. 254 - 276
Copyright
Copyright © Royal Aeronautical Society. 1955

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Footnotes

*

Part I of this paper was published in August 1955 (pp. 205-220).

References

1. Lighthill, M. J. Notes on the Deflection of Jets by Insertion of Curved Surfaces, and on the Design of Bends in Wind Tunnels. R. & M. 2105, 1945.Google Scholar
2. Woods, L. C. The Numerical Solution of Two-dimensional Fluid Motion in the Neighbourhood of Stagnation Points and Sharp Corners. R. & M. 2726, 1949.Google Scholar
3. Woods, L. C. The Second Order Terms in Two-dimensional Tunnel Blockage. The Aeronautical Quarterly, Vol. IV, pp. 361–372, February 1954.Google Scholar
4. Lock, C. N. H. and Beavan, J. A. Tunnel Interference at Compressibility Speeds using the Flexible Walls of the Rectangular High Speed Tunnel. R. & M. 2005, 1944.Google Scholar
5. Whitehead, L. G. Two-dimensional Wind Tunnel Interference. R. & M. 2802, 1950.Google Scholar