Skip to main content
Log in

Numerical analysis of the three-dimensional aerodynamics of a hovering rufous hummingbird (Selasphorus rufus)

  • Research Paper
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

Hummingbirds have a unique way of hovering. However, only a few published papers have gone into details of the corresponding three-dimensional vortex structures and transient aerodynamic forces. In order to deepen the understanding in these two realms, this article presents an integrated computational fluid dynamics study on the hovering aerodynamics of a rufous hummingbird. The original morphological and kinematic data came from a former researcher’s experiments. We found that conical and stable leading-edge vortices (LEVs) with spanwise flow inside their cores existed on the hovering hummingbird’s wing surfaces. When the LEVs and other near-field vortices were all shed into the wake after stroke reversals, periodically shed bilateral vortex rings were formed. In addition, a strong downwash was present throughout the flapping cycle. Time histories of lift and drag were also obtained. Combining the three-dimensional flow field and time history of lift, we believe that high lift mechanisms (i.e., rotational circulation and wake capture) which take place at stroke reversals in insect flight was not evident here. For mean lift throughout a whole cycle, it is calculated to be 3.60 g (104.0 % of the weight support). The downstroke and upstroke provide 64.2 % and 35.8 % of the weight support, respectively.

Graphical Abstract

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Sapir, N., Dudley, R.: Backward flight in hummingbirds employs unique kinematic adjustments and entails low metabolic cost. J. Exp. Biol. 215, 3603–3611 (2012)

    Article  Google Scholar 

  2. Tobalske, B.W., Warrick, D.R., Clark, C.J., et al.: Three-dimensional kinematics of hummingbird flight. J. Exp. Biol. 210, 2368–2382 (2007)

    Article  Google Scholar 

  3. Bolsman, C.T., Palsson, B., Goosen, H., et al.: The use of resonant structures for miniaturizing FMAVs. In: 3rd US-European Competition and Workshop on Micro Air Vehicle & European Micro Air Vehicle Conference and Flight Competition, Toulouse, France (2007)

  4. Hedrick, T.L., Tobalske, B.W., Ros, I.G., et al.: Morphological and kinematic basis of the hummingbird flight stroke: scaling of flight muscle transmission ratio. Proc. R. Soc. B 279, 1986–1992 (2012)

    Article  Google Scholar 

  5. Warrick, D.R., Tobalske, B.W., Powers, D.R.: Aerodynamics of the hovering hummingbird. Nature 435, 1094–1097 (2005)

    Article  Google Scholar 

  6. Warrick, D.R., Tobalske, B.W., Powers, D.R.: Lift production in the hovering hummingbird. Proc. R. Soc. B 276, 3747–3752 (2009)

    Article  Google Scholar 

  7. Evans, H.B., Allen, J.J., Balakumar, B.J.: Optimal flight of Rufous hummingbirds in hover: An experimental investigation. In: 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, USA (2010)

  8. Swanton, E.W.M., Vanier, B.A., Mohseni, K.: Flow visualization and wall shear stress of a flapping model hummingbird wing. Exp. Fluids 49, 657–671 (2010)

    Article  Google Scholar 

  9. Swanton, E.W.M., Vanier, B.A., Mohseni, K.: Leading edge vortex stability in a flapping model hummingbird wing. In: 38th AIAA Fluid Dynamics Conference and Exhibit, Seattle, Washington, USA (2008)

  10. Altshuler, D.L., Princevac, M., Pan, H., et al.: Wake patterns of the wings and tail of hovering hummingbirds. Exp. Fluids 46, 835–846 (2008)

    Article  Google Scholar 

  11. Liang, Z., Dong, H., Wei, M.: Computational analysis of hovering hummingbird flight. In: 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, USA (2010)

  12. Pournazeri, S., Segre, P.S., Princevac, M., et al.: Hummingbirds generate bilateral vortex loops during hovering: evidence from flow visualization. Exp. Fluids. 54 (2012)

  13. Wolf, M., Ortega-Jimenez, V.M., Dudley, R.: Structure of the vortex wake in hovering Anna’s hummingbirds (Calypte anna). Proc. Biol. Sci. 280, 20132391 (2013)

    Article  Google Scholar 

  14. Song, J., Luo, H., Hedrick, T.: Lift characteristics of a hovering rufous hummingbird. In: 31st AIAA Applied Aerodynamics Conference, San Diego, CA, USA (2013)

  15. Song, J., Luo, H., Hedrick, T.L.: Three-dimensional flow and lift characteristics of a hovering ruby-throated hummingbird. J. R. Soc. Interface 11, 20140541 (2014)

    Article  Google Scholar 

  16. Altshuler, D.L., Dudley, R., Ellington, C.P.: Aerodynamic forces of revolving hummingbird wings and wing models. J. Zool. 264, 327–332 (2004)

    Article  Google Scholar 

  17. Lentink, D., Dickinson, M.H.: Rotational accelerations stabilize leading edge vortices on revolving fly wings. J. Exp. Biol. 212, 2705–2719 (2009)

    Article  Google Scholar 

  18. Liu, H.: Integrated modeling of insect flight: from morphology, kinematics to aerodynamics. J. Comput. Phys. 228, 439–459 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  19. Aono, H., Liang, F., Liu, H.: Near- and far-field aerodynamics in insect hovering flight: an integrated computational study. J. Exp. Biol. 211, 239–257 (2008)

    Article  Google Scholar 

  20. Yu, X., Sun, M.: A computational study of the wing–wing and wing–body interactions of a model insect. Acta Mech. Sin. 25, 421–431 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  21. Shyy, W., Aono, H., Chimakurthi, S.K., et al.: Recent progress in flapping wing aerodynamics and aeroelasticity. Prog. Aerosp. Sci. 46, 284–327 (2010)

    Article  Google Scholar 

  22. Wang, Z.J., Birch, J.M., Dickinson, M.H.: Unsteady forces and flows in low Reynolds number hovering flight: Two-dimensional computations vs robotic wing experiments. J. Exp. Biol. 207, 449–460 (2004)

    Article  Google Scholar 

  23. Wu, J.H., Sun, M.: Unsteady aerodynamic forces of a flapping wing. J. Exp. Biol. 207, 1137–1150 (2004)

    Article  Google Scholar 

  24. Weis Fogh, T.: Quick estimates of flight fitness in hovering animals, including novel mechanisms for lift production. J. Exp. Biol. 59, 169–230 (1973)

    Google Scholar 

  25. Liu, H., Aono, H.: Size effects on insect hovering aerodynamics: An integrated computational study. Bioinspir. Biomim. 4, 015002 (2009)

  26. Chai, P., Millard, D.: Flight and size constraints: hovering performance of large hummingbirds under maximal loading. J. Exp. Biol. 200, 2757–2763 (1997)

    Google Scholar 

  27. Sun, M., Wu, J.: Large aerodynamic forces on a sweeping wing at low Reynolds number. Acta Mech. Sin. 20, 24–31 (2004)

    Article  Google Scholar 

  28. Wilkins, P.C.: Some unsteady aerodynamics relevant to insect-inspired flapping-wing micro air vehicles. Ph.D. Thesis, Cranfield University, Shrivenham, United Kingdom (2008)

  29. Zuo, D., Peng, S., Chen, W., et al.: Numerical simulation of flapping-wing insect hovering flight at unsteady flow. Int. J. Numer. Methods Fluids 53, 1801–1817 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  30. Moffatt, H.K.: The degree of knottedness of tangled vortex lines. J. Fluid Mech. 35, 117–129 (1969)

    Article  MATH  Google Scholar 

  31. Birch, J.M., Dickson, W.B., Dickinson, M.H.: Force production and flow structure of the leading edge vortex on flapping wings at high and low Reynolds numbers. J. Exp. Biol. 207, 1063–1072 (2004)

    Article  Google Scholar 

  32. Birch, J.M., Dickinson, M.H.: Spanwise flow and the attachment of the leading-edge vortex on insect wings. Nature 412, 729–733 (2001)

    Article  Google Scholar 

  33. Sane, S.P.: The aerodynamics of insect flight. J. Exp. Biol. 206, 4191–4208 (2003)

    Article  Google Scholar 

  34. Dickinson, M.H.: Wing rotation and the aerodynamic basis of insect flight. Science 284, 1954–1960 (1999)

    Article  Google Scholar 

Download references

Acknowledgments

The authors gratefully thank Prof. Bret Tobalske for providing the initial morphological and kinematic experimental data of a hovering rufous hummingbird. The authors also acknowledge Dr. Xijun Ke for his helpful suggestions on a previous version of the manuscript. This research was financially supported by the Supporting Foundation of the Ministry of Education (Grant 62501040303), the Pre-research Fund (Grants 9140A26020313JW03371, 9140A26020414JW03412), and the New Century Excellent Talents Support Program from the Ministry of Education of China (Grant NCET-10-0583).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Weiping Zhang.

Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (xls 22 KB)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, S., Zhang, W. Numerical analysis of the three-dimensional aerodynamics of a hovering rufous hummingbird (Selasphorus rufus). Acta Mech. Sin. 31, 931–943 (2015). https://doi.org/10.1007/s10409-015-0450-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-015-0450-5

Keywords

Navigation