Skip to main content
Log in

An Asymptotic Solution of Velocity Field in Ship Waves

  • Published:
Journal of Hydrodynamics Aims and scope Submit manuscript

Abstract

The stationary phase method in conventional Lighthill’s two-stage scheme to get the expressions of the velocity field was given up in this paper. The method that Ursell had used in deducing the elevation expression of ship wave was adopted, and an asymptotic solution of velocity field of ship waves on an inviscid fluid that is perfectly fit for the region inside and outside the critical lines was obtained. It is very convenient to be used in SAR technique.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. WEHAUSEN J.V. and LAITONE E.V. Surface waves[M]. Berlin: Springer-Verlag, 1960, 446–778.

    MATH  Google Scholar 

  2. CHAN A. T. and CHWANG A. T. Interaction of laminar far wake with a free surface [J]. Physics of Fluids, 1996, 8(2): 421–429.

    Article  Google Scholar 

  3. LIU A. K., PENG Y. and CHANG S. Y. Wavelet analysis of satellite images for coastal watch[J]. IEEE J. Oceanic Eng., 1997, 22(1): 9–17.

    Article  Google Scholar 

  4. ARTHUR M. Reed, JEROME H. Milgram. Ship wakes and their radar images[J]. Annu. Rev. Fluid Mech. 2002, 34:469–502

    Article  MathSciNet  Google Scholar 

  5. HENNINGS I., ROMEISER R., ALPERS W. et al. Radar imaging of Kelvin arms of ship wakes[J]. Int. J. Remote Sensing, 1999, 20 (13): 2519–2543.

    Article  Google Scholar 

  6. MENG Jun-min, TAO Ming-de and ZHANG Jie. Remote sensing method for ship wake detection in SAR image[J]. Journal of Hydrodynamics, Ser.B, 2001, 13(3): 122–126.

    Google Scholar 

  7. YUAN Ye-li. Formulation of sea wave high-frequency spectrum and basis of SAR image analysis[J]. Oceanologia et. Limnologia Sinica, 1997, 29(supplement).

  8. LIU Min-jia, TAO Ming-de. Velocity field in ship waves on the viscous fluid [J]. Applied Mathematics and Mechanics, 2003, 23(10): 1085–1096.

    MathSciNet  Google Scholar 

  9. TAO Ming-de, LIU Min-jia, Ren Jiu-chun. A study of velocity field in ship waves [J]. Journal of Hydrodynamics, Ser.B, 2001, 13(4): 42–47.

    Google Scholar 

  10. LU Dong-qiang. Free-surface waves and far wakes generated by a floating body in a viscous fluid[J]. Journal of Hydrodynamics, Ser.B, 2003, 15(4): 10–16.

    Google Scholar 

  11. URSELL F. On Kelvin’s ship-wave pattern [J]. Journal of Fluid Mechanics, 1960, 8: 418–431.

    Article  MathSciNet  Google Scholar 

  12. CRAPPER G. D. Surface waves generated by a traveling pressure point [J]. Proc. Roy. Soc. Ser. A, 1964, 282: 547–558.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ming-de Tao.

Additional information

Project supported by the National Natural Science Foundation of China (Grant No: 10372025) and the National Key Basic Research Foundation (Grant No: 2001CB309400).

Biography: Wu Yun-gang(1975-), Male, Ph.D. Student

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, Yg., Tao, Md. An Asymptotic Solution of Velocity Field in Ship Waves. J Hydrodyn 18, 387–392 (2006). https://doi.org/10.1016/S1001-6058(06)60109-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S1001-6058(06)60109-1

Key Words

Navigation