中国物理B ›› 2006, Vol. 15 ›› Issue (6): 1137-1142.doi: 10.1088/1009-1963/15/6/003

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Interaction of a submerged horseshoe vortex with a free surface

吴云岗1, 陶明德2   

  1. (1)Department of Mechanics and Engineering Science, Fudan University,Shanghai 200433, China; (2)Department of Mechanics and Engineering Science, Fudan University,Shanghai 200433, China;The Key Laboratory of Wave Scattering and Remote Sensing Information,Fudan University, Shanghai 200433, China
  • 收稿日期:2005-06-16 修回日期:2006-03-06 出版日期:2006-06-20 发布日期:2006-06-20
  • 基金资助:
    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).

Interaction of a submerged horseshoe vortex with a free surface

Wu Yun-Gang (吴云岗)a, Tao Ming-De (陶明德)ab   

  1. 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
  • Received:2005-06-16 Revised:2006-03-06 Online:2006-06-20 Published:2006-06-20
  • Supported by:
    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).

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摘要： 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.

关键词: free surface, horseshoe vortex, ship wakes, SAR

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.

Key words: free surface, horseshoe vortex, ship wakes, SAR

中图分类号:  (Vortex interactions)

  • 47.32.cb
47.10.A- (Mathematical formulations) 47.27.wb (Turbulent wakes) 47.35.-i (Hydrodynamic waves) 47.80.Jk (Flow visualization and imaging)