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Effects of aspect ratio on flapping wing aerodynamics in animal flight

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Abstract

Morphology as well as kinematics is a critical determinant of performance in flapping flight. To understand the effects of the structural traits on aerodynamics of bio-flyers, three rectangular wings with aspect ratios (AR) of 1, 2, and 4 performing hovering-like sinusoidal kinematics at wingtip based Reynolds number of 5 300 are experimentally investigated. Flow structures on sectional cuts along the wing span are compared. Stronger K-H instability is found on the leading edge vortex of wings with higher aspect ratios. Vortex bursting only appears on the outer spanwise locations of high-aspect-ratio wings. The vortex bursting on high-aspect-ratio wings is perhaps one of the reasons why bio-flyers normally have low-aspect-ratio wings. Quantitative analysis exhibits larger dimensionless circulation of the leading edge vortex (LEV) over higher aspect ratio wings except when vortex bursting happens. The average dimensionless circulation of AR1 and AR2 along the span almost equals the dimensionless circulation at the 50% span. The flow structure and the circulation analysis show that the sinusoidal kinematics suppresses breakdown of the LEV compared with simplified flapping kinematics used in similar studies. The Reynolds number effect results on AR4 show that in the current Re range, the overall flow structure is not sensitive to Reynolds number.

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References

  1. 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 

  2. Zhang, Y.L., Wu, J.H., Sun, M.: Lateral dynamic flight stability of hovering insects: Theory vs. numerical simulation. Acta Mechanica Sinica 28, 221–231 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  3. Paranjape, A.A., Dorothy, M.R., Chung, S.J., et al.: A flight mechanics-centric review of bird-scale flapping flight. Int J. of Aeronautical & Space Sci. 13, 267–281 (2012)

    Article  Google Scholar 

  4. Shyy, W., Lian, Y., Tang, J., et al.: Aerodynamics of Low Reynolds Number Flyers. Cambridge University Press, New York (2008)

    Google Scholar 

  5. Keennon, M., Klingebiel, K., Won, H., et al.: Development of the nano hummingbird: A tailless flapping wing micro air vehicle. In: Proc. of 50th AIAA Aerospace Sciences Meeting (2012)

    Google Scholar 

  6. Pornsin-Sirirak, T.N., Tai, Y.C., Ho, C.M., et al.: Microbat: A palm-sized electrically powered ornithopter. In: Proceedings of NASA/JPL Workshop on Biomorphic Robotics, Pasadena, CA, 14–17 (2001)

    Google Scholar 

  7. Wood, R.J.: The first takeoff of a biologically inspired at-scale robotic insect. IEEE Trans. Rob. 24, 341–347 (2008)

    Article  Google Scholar 

  8. Lentink, D., Jongerius, S.R., Bradshaw, N.L.: The Scalable Design of Flapping Micro-air Vehicles Inspired by Insect Flight. Flying Insects and Robots, Springer Verlag, Berlin (2009)

    Google Scholar 

  9. Ristroph, L., Childress, S.: Stable hovering of a jellyfish-like flying machine. J. R. Soc. Interface 11, 20130992 (2014)

    Article  Google Scholar 

  10. Muniappan, A., Baskar, V., Duriyanandhan, V.: Lift and thrust characteristics of flapping wing micro air vehicle (MAV). AIAA Paper 2005-1055 (2005)

    Google Scholar 

  11. Luo G.Y, Sun M.: The effects of corrugation and wing plan-form on the aerodynamic force production of sweeping model insect wings. Acta Mech. Sinica 21, 531–541 (2005)

    Article  MATH  Google Scholar 

  12. Carr, Z.R., Chen, C., Ringuette, M.J.: Finite-span rotating wings: three-dimensional vortex formation and variations with aspect ratio. Exp. Fluids 54, 1444 (2013)

    Article  Google Scholar 

  13. Garmann, D., Visbal, M.: Dynamics of revolving wings for various aspect ratios. J. Fluid Mech. 748, 932–956 (2014)

    Article  Google Scholar 

  14. Pennycuick, C.J.: Modelling the Flying Bird. Academic Press, New York (2008)

    Google Scholar 

  15. Richardson, P.L.: How do albatrosses fly around the world without flapping their wings? Progress in Oceanography 88, 46–58 (2011)

    Article  Google Scholar 

  16. Ellington, C.P.: The aerodynamics of hovering insect flight II. Morphological parameters. Phil. Trans. R. Soc. Lond. B 305, 17–40 (1984)

    Article  Google Scholar 

  17. Combes, S.A., Rundle, D.E., Iwasaki, J.M., et al.: Linking biomechanics and ecology through predator-prey interactions: Flight performance of dragonflies and their prey. J. Exp. Bio. 215, 903–913 (2012)

    Article  Google Scholar 

  18. Nanag, M., Nguyen, Q.V., Hoon, C.P.: Effect of outer wing separation on lift and thrust generation in a flapping wing system. Bioinsp. Biomim. 6, 1–10 (2011)

    Google Scholar 

  19. Baik, Y.S., Bernal, L.P., Granlund, K., et al.: Unsteady force generation and vortex dynamics of pitching and plunging aerofoils. J. Fluid Mech. 709, 37–68 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  20. Huang, H., Sun, M.: Forward flight of a model butterfly: Simulation by equations of motion coupled with the navierstokes equations. Acta Mechanica Sinica 28, 1590–1601 (2012)

    Article  MathSciNet  Google Scholar 

  21. Maybury, W.J., Lehmann, F.O.: The fluid dynamics of flight control by kinematic phase lag variation between two robotic insect wings. J. Exp. Bio. 207, 4707–4726 (2004)

    Article  Google Scholar 

  22. Sun, M., Lan, S.L.: A computational study of the aerodynamic forces and power requirements of dragonfly (Aeschna juncea) hovering. J. Exp. Bio. 207, 1887–1901 (2004)

    Article  Google Scholar 

  23. Wang, Z.J., Russell, D.: Effect of forewing and hindwing interactions on aerodynamic forces and power in hovering dragonfly flight. Phys. Rev. Lett. 99, 148101 (2007)

    Article  Google Scholar 

  24. Wakeling, J.M., Ellington, C.P.: Dragonfly flight III. Lift and power requirements. J. Exp. Bio. 200, 543–600 (1997)

    Google Scholar 

  25. Usherwood, J.R., Lehmann, F.O.: Phasing of dragonfly wings can improve aerodynamic efficiency by removing swirl. J. R. Soc. Interface 5, 1303–1307 (2008)

    Article  Google Scholar 

  26. Hefler, C., Qiu, H.H., Shyy, W.: The interaction of wings in different flight modes of a dragonfly. In: Proc. of 17th International Symposium on Application of Laser Techniques to Fluid Mechanics, Lisbon, July 7–10 (2014)

    Google Scholar 

  27. Alexander, D.: Unusual phase relationships between forewings and hindwings in flying dragonflies. J. Exp. Bio. 109, 379–383 (1984)

    Google Scholar 

  28. Ansari, S.A., Phillips, N., Stabler, G., et al.: Experimental investigation of some aspects of insect-like flapping flight aerodynamics for application to micro air vehicles. Exp Fluids 46, 777–798 (2009)

    Article  Google Scholar 

  29. Harbig, R., Sheridan, J., Thompson, M.: Reynolds number and aspect ratio effects on the leading-edge vortex for rotating insect wing planforms. J Fluid Mech. 717, 166–192 (2013)

    Article  MATH  Google Scholar 

  30. Lu, Y., Shen, G.X., Lai, G.J.: Dual leading-edge vortices on flapping wings. J. Exp. Bio. 209, 5005–5016 (2006)

    Article  Google Scholar 

  31. Hu, Y., Wang, J.J.: Dual leading-edge vortex structure for flow over a simplified butterfly model. Exp Fluids 50, 1285–1292 (2011)

    Article  Google Scholar 

  32. Zhou, J., Adrian, R.J., Balachandar, S., et al.: Mechanisms for generating coherent packets of hairpin vortices in channel flow. J Fluid Mech. 387, 353–396 (1999)

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  34. Wolfinger, M., Rockwell, D.: Flow structure on a rotating wing: Effect of radius of gyration. J. Fluid Mech. 755, 83–110 (2014)

    Article  Google Scholar 

  35. Ozen, C., Rockwell, D.: Flow structure on a rotating plate. Exp. Fluids 52, 207–223 (2012)

    Article  Google Scholar 

Download references

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Correspondence to Hui-He Qiu.

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The project was supported by the Innovation Technology Commission (ITC) of the Government of the Hong Kong Special Administrative Region (HKSAR) with Project (ITS/115/13FP) and Hong Kong Ph.D. Fellowship Scheme from the Research Grants Council (RGC).

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Fu, JJ., Hefler, C., Qiu, HH. et al. Effects of aspect ratio on flapping wing aerodynamics in animal flight. Acta Mech Sin 30, 776–786 (2014). https://doi.org/10.1007/s10409-014-0120-z

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  • DOI: https://doi.org/10.1007/s10409-014-0120-z

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