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Note on a conformal transformation

Published online by Cambridge University Press:  26 February 2010

W. R. Dean
W. R. Dean
Affiliation:
University College, London, W.C.I.
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Extract

The composite area made up of a semi-infinite strip and a semicircle is represented on a half-plane. Different transformations are in effect used for the two sub-areas and there is accordingly a continuity condition at the line of separation. This condition is satisfied only to an approximation, but a fairly accurate solution is found without much difficulty. The transformation can be used to find the steady two-dimensional flow of perfect fluid in a channel that turns through 180°.

Type
Research Article
Information
Mathematika , Volume 5 , Issue 1 , June 1958 , pp. 62 - 66
Copyright
Copyright © University College London 1958

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References

1.Cockcroft, J. D., Journal Inst. Elec. Eng., 66 (1927), 385.Google Scholar
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4.Stokes, G. G., Papers, vol. 2, 341.Google Scholar