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The Gliding of a Plate on a Stream of Finite Depth

Published online by Cambridge University Press:  24 October 2008

A. E. Green
A. E. Green
Affiliation:
Jesus College
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Extract

We have examined the two-dimensional gliding of a semi-infinite plate on the surface of a stream of finite depth. We have calculated the lift L in terms of the ratio D/H, where H is the depth of the stream at infinity up-stream, and D is the height of the trailing edge of the plate above the surface of the stream.

In particular we have found that the trailing edge cannot be at a height of more than 0·07H approximately, above the up-stream fluid surface.

In conclusion, the writer would like to thank Prof. G. I. Taylor, F.R.S., for suggesting this problem and for his continued interest in it.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 31 , Issue 4 , October 1935 , pp. 589 - 603
Copyright
Copyright © Cambridge Philosophical Society 1935

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References

* For an account of the subject and a list of references, see Wagner, H., “Über das Gleiten von Körpern auf der Wasseroberfläche”, Proc. 4th Inter. Congress for Applied Mechanics. Cambridge (1934), p. 146.Google Scholar

* After the manner of Kirchhoff.

* Tannery, J. et Molk, J., Éléments de la théorie des fonctions elliptiques, 4 (1902), 145.Google Scholar

* J. Tannery et J. Molk, loc. cit. p. 143.

* A similar method has been used by S. Tomotika.

* J. Tannery et J. Molk, loc. cit. p. 104.