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The translation of two bodies under the free surface of a heavy fluid

Published online by Cambridge University Press:  24 October 2008

A. Coombs
A. Coombs
Affiliation:
University CollegeDurham
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Extract

1. Many investigations have been made to determine the wave resistance acting on a body moving horizontally and uniformly in a heavy, perfect fluid. Lamb obtained a first approximation for the wave resistance on a long circular cylinder, and this was later confirmed to be quite sufficient over a large range. In 1926 and 1928, Havelock (4, 5) obtained a second approximation for the wave resistance and a first approximation for the vertical force or lift. Later, in 1936(6), he gave a complete analytical solution to this problem, in which the forces were expressed in the form of infinite series in powers of the ratio of the radius of the cylinder to the depth of the centre below the free surface of the fluid. General expressions for the wave resistance and lift of a cylinder of arbitrary cross-section were found by Kotchin (7) using integral equations, and the special case of a flat plate was evaluated. He continued with a discussion of the motion of a three-dimensional body. More recently, Haskind (3) has examined the same problem when the stream has a finite depth.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 46 , Issue 3 , July 1950 , pp. 453 - 468
Copyright
Copyright © Cambridge Philosophical Society 1950

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References

REFERENCES

(1)Endô, D.Proc. Phys.-Math. Soc. Japan, 16 (1934), 275.Google Scholar
(2)Green, A. E.Quart. J. Math. 18 (1947), 167.CrossRefGoogle Scholar
(3)Haskind, M. D.Appl. Math. Mech. (Akad. Nauk. S.S.S.R. Prikl. Mat. Mech.), 9 (1945), 67.Google Scholar
(4)Havelock, T. H.Proc. Roy. Soc. A, 115 (1927), 268.Google Scholar
(5)Havelock, T. H.Proc. Roy. Soc. A, 122 (1929), 387.Google Scholar
(6)Havelock, T. H.Proc. Roy. Soc. A, 157 (1936), 526.Google Scholar
(7)Kotchin, N. E.Transactions of the Conference on the Theory of Wave Resistance, U.S.S.R. (Moscow, 1937).Google Scholar