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The pitching motion of a circular disk

Published online by Cambridge University Press:  28 March 2006

W. D. Kim
W. D. Kim
Affiliation:
Boeing Scientific Research Laboratories, Seattle, Washington
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Abstract

The interaction of a pitching circular disk with the motion induced by the disk in the surrounding fluid is investigated in this paper. MacCamy's (1961) method of simplifying the three-dimensional problem of a circular disk to the two-dimensional problem is found to apply in the present analysis. The integral equation is solved numerically to determine the dependence of pressure, added moment of inertia, and damping coefficient on the frequency of the oscillation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 17 , Issue 4 , December 1963 , pp. 607 - 629
Copyright
© 1963 Cambridge University Press

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References

Byrd, R. E. & Friedman, M. D. 1954 Handbook of Elliptic Integrals for Engineers and Physicists. Berlin: Springer Verlag.
Gröbner, W. & Hofreiter, N. 1961 Integraltafel, 3rd ed.
John, F. 1950 On the motion of floating bodies. II. Comm. Pure Appl. Math., 3, 45–101.Google Scholar
Kim, W. D. 1962 The forced oscillation of shallow draft ships. Document no. DI-82-0222, Boeing Scientific Research Laboratories.
MacCamy, R. C. 1961 On the scattering of water waves by a circular disk. Arch. Rat. Mech. Anal., 8, 120–138.Google Scholar
Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics. New York: McGraw-Hill.
Peters, A. S. & Stoker, J. J. 1957 The motion of a ship as a floating rigid body in a seaway. Comm. Pure Appl. Math. 10, 399–490.Google Scholar
Wagner, C. 1951 On the solution of Fredholm integral equations of second kind by iteration. J. Math. Phys., 30, 23–30.Google Scholar
Wehausen, J. V. & Laitone, E. V. 1960 Surface waves. Encycl. Phys. 9, 446–778.Google Scholar