Scattering of gravity waves by a circular dock-Reference-Cited by-同舟云学术

Scattering of gravity waves by a circular dock

Published:1968-12-23 Issue:4 Volume:34 Page:783-793
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Miles John,Gilbert Freeman

Abstract

The scattering of a gravity wave of wave number k by a circular dock of radius a and draft d – h in water of depth d is calculated through a variational approximation. The total and differential scattering cross-sections, the peripheral displacement, and the lateral force on the dock are presented as functions of ka with d/a and h/d as parameters and compared with the classical results for a circular cylinder (h = 0). A pronounced resonance is found near ka = 2 for certain values of d/a and h/d.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference4 articles.

1. Lamb, H. 1932 Hydrodynamics .Cambridge University Press.

2. Morse, P. M. & Feshbach, H. 1953 Methods of Theoretical Physics . Part II.New York:McGraw-Hill.

3. ERDÉLYI, A. , Magnus, W. , Oberhettinger, F. & Tricomi, F. G. 1953 Higher Transcendental Functions , Vol. 2.New York:McGraw-Hill.

4. Levine, H. & Schwinger, J. 1948 On the theory of diffraction by an aperture in a plane screen. I Phys. Rev. 74,958–74.

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