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An Anomaly in the Theory of Tunnel-Wall Interference on a Lifting Wing

Published online by Cambridge University Press:  07 June 2016

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Summary

There appear in the literature some discrepancies in the various mathematical expressions for the upwash constituting the wall interference on a small lifting wing placed symmetrically in a rectangular tunnel with closed side-walls and open floor and roof. The representation of the interference field as that of a doubly infinite array of image doublets is shown to lead to divergence. An independent calculation by relaxation confirms the correctness of an analytical solution by expansion in Fourier series. The discrepancies are found to arise from incomplete flow conditions at the open boundaries, and it is shown in this paper how the various theories are reconciled.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1963

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References

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