Applied Mathematics and Mechanics

, Volume 31, Issue 5, pp 585–592 | Cite as

Thrust generation and wake structure of wiggling hydrofoil

  • Guo-yi He (何国毅)
  • Shu-guang Zhang (张曙光)
  • Xing Zhang (张 星)Email author


Marine animals and micro-machines often use wiggling motion to generate thrust. The wiggling motion can be modeled by a progressive wave where its wavelength describes the flexibility of wiggling animals. In the present study, an immersed boundary method is used to simulate the flows around the wiggling hydrofoil NACA 65-010 at low Reynolds numbers. One can find from the numerical simulations that the thrust generation is largely determined by the wavelength. The thrust coefficients decrease with the increasing wavelength while the propulsive efficiency reaches a maximum at a certain wavelength due to the viscous effects. The thrust generation is associated with two different flow patterns in the wake: the well-known reversed Karman vortex streets and the vortex dipoles. Both are jet-type flows where the thrust coefficients associated with the reversed Karman vortex streets are larger than the ones associated with the vortex diploes.

Key words

propulsive performance wiggling motion immersed boundary method wake 

Chinese Library Classification


2000 Mathematics Subject Classification

76D17 76Z10 


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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Guo-yi He (何国毅)
    • 1
    • 2
  • Shu-guang Zhang (张曙光)
    • 3
  • Xing Zhang (张 星)
    • 4
    Email author
  1. 1.School of Aircraft EngineeringNanchang Hangkong UniversityNanchangP. R. China
  2. 2.School of Aeronautic Science and EngineeringBeihang UniversityBeijingP. R. China
  3. 3.School of Transportation Science and EngineeringBeihang UniversityBeijingP. R. China
  4. 4.The State key Laboratory of Nonlinear Mechanics, Institute of MechanicsChinese Academy of SciencesBeijingP. R. China

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