Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-12-01T03:06:33.379Z Has data issue: false hasContentIssue false

The Second Order Terms in Two-Dimensional Tunnel Blockage

Published online by Cambridge University Press:  07 June 2016

L. C. Woods*
Affiliation:
formerly New Zealand Scientific Defence Corps, seconded to the Aerodynamics Division of the National Physical Laboratory; now Lecturer, University of Sydney
Get access

Summary

This paper gives a new calculation of the solid and wake blockage for compressible subsonic flow about a symmetrical two-dimensional aerofoil, midway between symmetrically disposed tunnel walls, which need not be straight. Previous calculations have been based on the theory of sources, and the results obtained have usually involved only first order terms. At high subsonic Mach numbers the second order terms become important; they are given in this paper. The theory is based on an integral equation, which is exact for incompressible flow, and which is more accurate than linear pertubation theory in compressible flow. The effect on blockage of a possible increase in the boundary layer displacement thickness on the tunnel wall, due to the presence of the aerofoil, is investigated, and finally a method of calculating the total blockage from wall pressure measurements is given.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1954

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. Woods, L. C. (1950). The Two-dimensional Subsonic Flow of an Inviscid Fluid about an Aerofoil of Arbitrary Shape. R. & M. 2811.Google Scholar
2. Woods, L. C. (1952). Compressible Subsonic Flow in Two-dimensional Channels: The Direct and Indirect Problems. A.R.C. 14,838.Google Scholar
3. Kármán, Th. von (1941). Compressibility Effects in Aerodynamics. Journal of the Aeronautical Sciences, Vol. 8, No. 9, October 1941.Google Scholar
4. Lock, C. N. H. (1929). The Interference of a Wind Tunnel on a Symmetrical Body. R. & M. 1275.Google Scholar
5. Thom, A. (1943). Blockage Corrections in a Closed High Speed Wind Tunnel. R. & M. 2033.Google Scholar
6. Thompson, J. S. (1948). Present Methods of Applying Blockage Corrections in a Closed Rectangular High Speed Wind Tunnel. Unpublished M.O.S. Report.Google Scholar
7. Golstein, S. and Young, A. D. (1943). The Linear Perturbation Theory of Compressible Flow with Applications to Wind Tunnel Interference. R. & M. 1909.Google Scholar
8. Thom, A. (1946). The Method of Influence Factors in Arithmetical Solutions of Certain Field Problems. R. & M. 2440.Google Scholar
9. Mair, W. A. and Gamble, H. E. (1944). The Effect of Model Size on Measurements in the High Speed Wind Tunnel. Part I: Drag of Two-dimensional Symmetrical Aerofoils at Zero Incidence. R. & M. 2527.Google Scholar
10. Thom, A. (1947). Tunnel Wall Effect from Mass Flow Considerations. R. & M. 2442.Google Scholar
11. Thom, A. (1947). Some Arithmetical Studies of the Compressible Flow past a Body in a Channel. A.R.C. 11,010.Google Scholar