Acta Mechanica Sinica

, Volume 34, Issue 3, pp 446–451 | Cite as

Hydrodynamic studies on two wiggling hydrofoils in an oblique arrangement

  • Xingjian Lin
  • Guoyi He
  • Xinyi He
  • Qi Wang
  • Longsheng Chen
Research Paper
  • 52 Downloads

Abstract

The propulsive performance of an oblique school of fish is numerically studied using an immersed boundary technique. The effect of the spacing and wiggling phase on the hydrodynamics of the system is investigated. The hydrodynamics of the system is deeply affected by the spacing between each fish in the school. When the horizontal separation is smaller than the length of the fish body, the downstream fish exhibits a larger thrust coefficient and greater propulsive efficiency than the isolated fish. However, the corresponding values for the upstream fish are smaller. The opposite behavior occurs when the horizontal separation increases beyond the length of fish body. The propulsive performance of the entire oblique school of fish can be substantially enhanced when the separations are optimized.

Keywords

Hydrodynamic interaction School of fish Immersed boundary method 

Notes

Acknowledgements

The work was supported by the National Natural Science Foundation of China (Grant 11462015).

References

  1. 1.
    Weihs, D.: Hydromechanics of fish schooling. Nature 241, 290–291 (1973)CrossRefGoogle Scholar
  2. 2.
    Krebs, J.: Fish schooling. Nature 264, 701–701 (1976)CrossRefGoogle Scholar
  3. 3.
    Liu, H., Kolomenskiy, D., Nakata, T., et al.: Unsteady bio-fluid dynamics in flying and swimming. Acta Mech. Sin. 33, 663–684 (2017)CrossRefGoogle Scholar
  4. 4.
    Liao, J.C.: A review of fish swimming mechanics and behaviour in altered flows. Philos. Trans. R. Soc. Lond. B Biol. Sci. 362, 1973–1993 (2007)CrossRefGoogle Scholar
  5. 5.
    Wang, S.Z., He, G.W., Zhang, X.: Self-propulsion of flapping bodies in viscous fluids: recent advances and perspectives. Acta Mech. Sin. 32, 980–990 (2016)MathSciNetCrossRefMATHGoogle Scholar
  6. 6.
    Liao, J.C., Beal, D.N., Lauder, G.V., et al.: Fish exploiting vortices decrease muscle activity. Science 302, 1566–1569 (2003)CrossRefGoogle Scholar
  7. 7.
    Beal, D.N., Hover, F.S., Triantafyllou, M.S., et al.: Passive propulsion in vortex wakes. J. Fluid Mech. 549, 385–402 (2006)CrossRefGoogle Scholar
  8. 8.
    Marras, S., Porfiri, M.: Fish and robots swimming together: attraction towards the robot demands biomimetic locomotion. J. R. Soc. Interface 9, 1856–1868 (2012)CrossRefGoogle Scholar
  9. 9.
    Fish, F.E., Lauder, G.V.: Passive and active flow control by swimming fishes and mammals. Annu. Rev. Fluid Mech. 38, 193–224 (2006)MathSciNetCrossRefMATHGoogle Scholar
  10. 10.
    Shelley, M.J., Zhang, J.: Flapping and bending bodies interacting with fluid flows. Annu. Rev. Fluid Mech. 43, 449–465 (2011)MathSciNetCrossRefMATHGoogle Scholar
  11. 11.
    Favier, J., Revell, A., Pinelli, A.: Numerical study of flapping filaments in a uniform fluid flow. J. Fluids Struct. 53, 26–35 (2015)CrossRefGoogle Scholar
  12. 12.
    Zhu, L.D.: Interaction of two tandem deformable bodies in a viscous incompressible flow. J. Fluid Mech. 635, 455–475 (2009)MathSciNetCrossRefMATHGoogle Scholar
  13. 13.
    Ristroph, L., Zhang, J.: Anomalous hydrodynamic drafting of interacting flapping flags. Phys. Rev. Lett. 101, 194502 (2008)CrossRefGoogle Scholar
  14. 14.
    Kim, S., Huang, W.X., Sung, H.J.: Constructive and destructive interaction modes between two tandem flexible flags in viscous flow. J. Fluid Mech. 661, 511–521 (2010)CrossRefMATHGoogle Scholar
  15. 15.
    Uddin, E., Huang, W.X., Sung, H.J.: Interaction modes of multiple flexible flags in a uniform flow. J. Fluid Mech. 729, 563–583 (2013)MathSciNetCrossRefMATHGoogle Scholar
  16. 16.
    Khalid, M.S.U., Akhtar, I., Dong, H.B.: Hydrodynamics of a tandem fish school with asynchronous undulation of individuals. J. Fluids Struct. 66, 19–35 (2016)CrossRefGoogle Scholar
  17. 17.
    Dong, G.J., Lu, X.Y.: Characteristics of flow over traveling wavy foils in a side-by-side arrangement. Phys. Fluids 19, 057107 (2007)CrossRefMATHGoogle Scholar
  18. 18.
    Hemelrijk, C.K., Reid, D.A.P., Hildenbrandt, H., et al.: The increased efficiency of fish swimming in a school. Fish Fish. 16, 511–521 (2015)CrossRefGoogle Scholar
  19. 19.
    Su, S.-W., Lai, M.-C., Lin, C.-A.: An immersed boundary technique for simulating complex flows with rigid boundary. Compt. Fluids 36, 313–324 (2007)CrossRefMATHGoogle Scholar
  20. 20.
    He, G.Y., Zhang, S.G., Zhang, X.: Thrust generation and wake structure of wiggling hydrofoil. J. Appl. Math. Mech. 31, 585–592 (2010)CrossRefMATHGoogle Scholar
  21. 21.
    He, G.Y., Wang, Q., Zhang, X., et al.: Numerical analysis on transitions and symmetry-breaking in the wake of a flapping foil. Acta Mech. Sin. 28, 1551–1556 (2012)CrossRefGoogle Scholar
  22. 22.
    Uchiyama, T., Kikuyama, K.: Numerical study on the propulsive performance of a submerged wiggling micromachine in straight conduit. J. Micromech. Microeng. 14, 409–418 (2005)Google Scholar
  23. 23.
    Tian, F.B., Luo, H.X., Zhu, L.D., et al.: Interaction between a flexible filament and a downstream rigid body. Phys. Rev. E 82, 026301 (2010)CrossRefGoogle Scholar
  24. 24.
    Fang, F., Ho, K.L., Ristroph, L., et al.: A computational model of the flight dynamics and aerodynamics of a jellyfish-like flying machine. J. Fluid Mech. 819, 621–655 (2017)MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  • Xingjian Lin
    • 1
  • Guoyi He
    • 1
  • Xinyi He
    • 2
  • Qi Wang
    • 1
  • Longsheng Chen
    • 1
  1. 1.The School of Aircraft EngineeringNanchang Hangkong UniversityNanchangChina
  2. 2.The School of SoftwareNanchang Hangkong UniversityNanchangChina

Personalised recommendations