Radiation of short surface waves by oscillating submerged smooth cylinders

✍ Scribed by A. M. Ayad

• Publisher: Springer
• Year: 1983
• Tongue: English
• Weight: 566 KB
• Volume: 17
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00042838

✦ Synopsis

An analysis is made of the generation of surface waves by the time-periodic oscillations of smooth submerged cylinders in the limit when the cylinder is at a large depth h below the free surface, and the frequency to/(2~r) of the oscillations is high. Specifically, the parameters of the problem are such that to=d= [g ~, 1 and h/d~ ~ 1 subject to the condition that w2d~d2/(gh) g 1 where g is the acceleration due to gravity and d I and d 2 denote the maximum and minimum diameters of the body wave maker. The amplitude of the radiated waves ff found to be exponentially small and to relate to certain critical points inside the cylinder.