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Derivation by a Transform Method of Integral Equations of Unsteady Lifting Surface Theory in Subsonic and Supersonic Flow

Published online by Cambridge University Press:  07 June 2016

Shigenori Ando  and
Akio Ichikawa
Shigenori Ando
Affiliation:
Department of Aeronautical Engineering, Nagoya University, Nagoya, Aichi, Japan
Akio Ichikawa
Affiliation:
Department of Aeronautical Engineering, Nagoya University, Nagoya, Aichi, Japan
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Summary

Applications of “integral transforms of in-plane coordinate variables” in order to formulate unsteady planar lifting surface theories are demonstrated for both sub- and supersonic inviscid flows. It is concise and pithy. Fourier transforms are exclusively used, except for only Laplace transform in the supersonic streamwise direction. It is found that the streamwise Fourier inversion in the subsonic case requires some caution. Concepts based on the theory of distributions seem to be essential, in order to solve the convergence difficulties of integrals. Apart from this caution, the method of integral transforms of in-plane coordinate variables makes it be pure-mathematical to formulate the lifting surface problems, and makes aerodynamicist’s experiences and physical models such as vortices or doublets be useless.

Type
Research Article
Information
Aeronautical Quarterly , Volume 30 , Issue 4 , November 1979 , pp. 529 - 543
Copyright
Copyright © Royal Aeronautical Society. 1979

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References

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