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The correction of wind tunnel nozzles for two-dimensional, supersonic flow

Published online by Cambridge University Press:  07 June 2016

R. E. Meyer
Affiliation:
Department of Mathematics, University of Manchester
M. Holt
Affiliation:
Department of Mathematics, University of Sheffield
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Summary

The paper is concerned with the two-dimensional, steady, irrotational, isentropic flow of a perfect gas in a wind tunnel nozzle which is found to produce a flow in the test rhombus deviating slightly from the desired uniform flow.

The minimum corrections are derived that must be applied to the liners in order to produce a uniform flow in the test rhombus. If the uncorrected nozzle produces a flow of uniform direction, measurement of the pressure on the axis, in the test rhombus, suffices to determine these corrections (Section 5). If not, further pressure measurements are required (Section 6). A simple test is indicated for checking whether the flow stream direction is uniform (Section 6).

The method cannot be used to correct for deviations from a two-dimensional flow.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1950

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References

1. Ward, G. N. (1948). A Note on the Production of a Uniform Flow in the Working Section of a Supersonic Wind Tunnel. D.A.E.R./Airflow/40, Admiralty, 1948.Google Scholar
2. Harrop, R. and Bright, P. I. (1948). Design and Testing of Supersonic Nozzles. A.R.C. 12,114, 1948.Google Scholar
3. Carriers, P. (1949). Comptes Rendus of the French Academy of Science, Vol. 228, p. 1,632, 1949.Google Scholar
4. Guderley, G. (1947). Extensions of the Characteristics Method. Lilienthal Ges. Rep. 139, Part 2. A.R.C. 10,555, 1947.Google Scholar
5. Meyer, R. E. (1949). Phil. Trans. Royal Society, A, 242, pp. 153171, 1949.Google Scholar
6. Meyer, R. E. (1948). Quarterly Journal of Mechanics and Applied Mathematics, Vol. 1, p. 196, 1948.CrossRefGoogle Scholar