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Supersonic wing-body interference

Published online by Cambridge University Press:  24 October 2008

R. W. Clark
R. W. Clark
Affiliation:
University College, London
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Extract

We consider here the supersonic inviscid flow past a wing-body combination consisting of a semi-infinite plane wing symmetrically placed about an infinite convex cylinder. When the cylinder is circular in cross-section a formal solution for the Laplace transform of the velocity potential exists (Neilson(l), and Stewartson, 1951, unpublished). This solution is given in the form of a series which is only slowly convergent near the boundary surface separating the disturbed and the undisturbed regions. However, this slow convergence has been overcome by Waechter(4) using the Poisson Summation formula on the series solution. This enables the solution to be expressed in terms of integrals which can be evaluated as a convergent residue series, taking on different forms in the different regions of the interaction.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 3 , November 1970 , pp. 719 - 729
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Nielson, J. N. Ph.D. thesis California Inst. of Technology (1951).Google Scholar
(2)Stewartson, K.Mathematika 13 (1966), 121–139.CrossRefGoogle Scholar
(3)Jones, D. S.Mathematika 14 (1967), 68–93.CrossRefGoogle Scholar
(4)Waechter, B. T.Mathematika 16 (1969), 122–142.CrossRefGoogle Scholar