Hostname: page-component-f554764f5-rj9fg Total loading time: 0 Render date: 2025-04-09T04:38:37.102Z Has data issue: false hasContentIssue false
  • English
  • Français

On waves due to small oscillations of a vertical plate submerged in deep water

Published online by Cambridge University Press:  17 February 2009

B. N. Mandal
B. N. Mandal
Affiliation:
Physical and Earth Sciences Division, Indian Statistical Institute, Calcutta-700035, India.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This paper is concerned with surface water waves produced by small oscillations of a thin vertical plate submerged in deep water. Green's integral theorem in the fluid region is used in a suitable manner to obtain the amplitude for the radiated waves at infinity. Particular results for roll and sway of the plate, and for a line source in the presence of a fixed vertical plate, are deduced.

Type
Research Article
Information
The ANZIAM Journal , Volume 32 , Issue 3 , January 1991 , pp. 296 - 303
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Basu, U. and Mandal, B. N.. “A plane vertical submerged barrier in surface water waves”, Internal. J. Math, and Math. Sci. 10 (1987) 815–820.CrossRefGoogle Scholar
[2]Evans, D. V., “Diffraction of water waves by a submerged vertical plate”, J. Fluid Mech. 40 (1970) 433–451.CrossRefGoogle Scholar
[3]Evans, D. V., “A note on the waves produced by the small oscillations of a partially immersed vertical plate”, J. Inst. Maths. Applies. 17 (1976) 135–140.CrossRefGoogle Scholar
[4]Gradstein, L. S. and Ryzhik, I. M., Tables of Integrals, Series and Products (Academic Press, 1980).Google Scholar
[5]Haskind, M. D., “Radiation and diffraction of surface waves by a flat plate floating vertically” (Russ.), Prikl. Mat. Mech. 23 (1959) 546–556.Google Scholar
[6]Mandal, B. N. and Goswami, S. K., “The scattering of an obliquely incident surface wave by a vertical plate”, J. Math. Phys. 25 (1984) 1780–1783.CrossRefGoogle Scholar
[7]Ursell, F., “The effect of a fixed vertical barrier on surface waves in deep water”, Proc. Camb. Phil. Soc. 43 (1947) 374–382.CrossRefGoogle Scholar
[8]Ursell, F., “On the waves due to rolling of a ship”, Q. J. Mech. Appl. Math. 1 (1948) 246–252.CrossRefGoogle Scholar