Interaction of a submerged horseshoe vortex with a free surface
Wu Yun-Gang (吴云岗)a, Tao Ming-De (陶明德)ab
a Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China; b The Key Laboratory of Wave Scattering and Remote Sensing Information,Fudan University, Shanghai 200433, China
Abstract In this paper a submerged horseshoe vortex under a free surface is discussed and the algebraic expression of the wave elevation is obtained. From this expression, some characteristics of the ship wave are described. There exists a smooth region near $\theta = 0^\circ$, but when the uniform stream passes the other singularities (source, sink, doublet, etc.) there is no smooth region. The mechanism of synthetic aperture radar (SAR) images of the narrow ship wakes is also explained.
Received: 16 June 2005
Revised: 06 March 2006
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10372025) and the National Key Basic Research Special Foundation of China (Grant No 2001CB309400).
Cite this article:
Wu Yun-Gang (吴云岗), Tao Ming-De (陶明德) Interaction of a submerged horseshoe vortex with a free surface 2006 Chinese Physics 15 1137
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