Skip to main content
Log in

Aerodynamics of dynamic wing flexion in translating wings

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

We conducted a systematic experimental study to investigate the aerodynamic effects of active trailing-edge flexion on a high-aspect-ratio wing translating from rest at a high angle of attack. We varied the timing and speed of the trailing-edge flexion and measured the resulting aerodynamic effects using a combination of direct force measurements and two-dimensional PIV flow measurements. The results indicated that the force and flow characteristics depend strongly on the timing of flexion, but relatively weakly on its speed. This is because the force and vortical flow structure are more sensitive to the timing of flexion relative to the shedding of starting vortex and leading-edge vortex. When the trailing-edge flexion occurred slightly before the starting vortex was shed, the lift production was greatly improved with the instantaneous peak lift increased by 54 % and averaged lift increased by 21 % compared with the pre-flexed case where the trailing-edge flexed before wing translation. However, when the trailing-edge flexed during or slightly after the leading-edge vortex shedding, the lift was significantly reduced by the disturbed development of leading-edge vortex. The force measurement results also imply that the trailing-edge flexion prior to wing translation does not augment lift but increases drag, thus resulting in a lower lift–drag ratio as compared to the case of flat wing.

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

  • Batchelor GK (1967) An introduction to fluid dynamics. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Bilgen O, Kochersberger KB, Inman DJ (2010) Novel, bidirectional, variable-camber airfoil via macro-fiber composite actuators. J Aircr 47(1):303–314

    Article  Google Scholar 

  • Birch JM, Dickinson MH (2001) Spanwise flow and the attachment of the leading-edge vortex on insect wings. Nature 412(6848):729–733

    Article  Google Scholar 

  • Chen K, Colonius T, Taira K (2010) The leading-edge vortex and quasi-steady vortex shedding on an accelerated plate. Phys Fluids 22:033601-1–033601-11

    Google Scholar 

  • Cheng B, Sane SP, Barbera G, Troolin DR, Strand T, Deng X (2013) Three-dimensional flow visualization and vorticity dynamics in revolving wings. Exp Fluids 54(1):1–12

    Article  Google Scholar 

  • Cheng B, Roll J, Liu Y, Troolin DR, Deng X (2014) Three-dimensional vortex wake structure of flapping wings in hovering flight. J R Soc Interface 11(91):1742–5662

    Google Scholar 

  • Deng X, Schenatp L, Wu WC, Sastry SS (2006) Flapping flight for biomimetic robotic insects: part I—system modeling. IEEE Trans Robot 22(4):776–788

    Article  Google Scholar 

  • Dickinson MH, Gotz KG (1993) Unsteady aerodynamics performance of model wings at low Reynolds numbers. J Exp Biol 174:56–64

    Google Scholar 

  • Ennos AR (1987) The importance of torsion in the design of insect wings. J Exp Biol 140:137–160

    Google Scholar 

  • Gupta V, Ippolito C (2012) Use of discretization approach in autonomous control of an active extrados/intrados camber morphing wing. AIAA paper 2603

  • Jeong JH, Hussain F (1995) On the identification of a vortex. J Fluid Mech 285:69–94

    Article  MATH  MathSciNet  Google Scholar 

  • Johansson LC, Wolf M, Busse RV, Winter Y, Spedding GR, Hedenstrom A (2008) The near and far wake of Pallas’ long tongued bat. J Exp Biol 211:2909–2918

    Article  Google Scholar 

  • Liu Y, Cheng B, Barbera G, Troolin DR, Deng X (2013) Volumetric visualization of the near- and far-field wake in flapping wings. Bioinspir Biomim 8:036010-1–036010-8

    Google Scholar 

  • Lua KB, Lim TT, Yeo KS (2008) Aerodynamics forces and flow fields of a two-dimensional hovering wing. Exp Fluids 45:1047–1065

    Article  Google Scholar 

  • Lua KB, Lim TT, Yeo KS (2011) Effect of wing-wake interaction on aerodynamic force generation on a 2D flapping wing. Exp Fluids 51:177–195

    Article  Google Scholar 

  • Ma K, Chirarattanon P, Fuller S, Wood RJ (2013) Controlled flight of a biologically inspired insect-scale robot. Science 340(6132):603–607

    Article  Google Scholar 

  • Norberg UM (1976) Aerodynamics, kinematics and energetic of horizontal flapping flight in the long-eared bat. J Exp Biol 65:179–212

    Google Scholar 

  • Panah AE, Buchholz JHJ (2014) Parameter dependence of vortex interactions on a two-dimensional plunging plate. Exp Fluids 55(3):1–19

    Google Scholar 

  • Perry ML, Mueller TJ (1987) Leading- and trailing-edge flaps on a low Reynolds number airfoil. J Aircr 24(9):653–659

    Article  Google Scholar 

  • Pitt-Ford CW, Babinsky H (2013) Lift and the leading edge vortex. J Fluid Mech 720:280–313

    Article  MATH  MathSciNet  Google Scholar 

  • Pullin DI, Wang ZJ (2004) Unsteady forces on an accelerating plate and application to hovering insect flight. J Fluid Mech 509:1–21

    Article  MATH  MathSciNet  Google Scholar 

  • Sane SP (2003) The aerodynamics of insect flight. J Exp Biol 206:4191–4208

    Article  Google Scholar 

  • Santhanakrishnan A, Pern NJ, Jacob JD (2005) Optimization and validation of a variable camber airfoil. AIAA paper 1956

  • Valasek J (2012) Morphing aerospace vehicles and structures. Wiley, Hoboken

    Book  Google Scholar 

  • Wagner H (1925) Über die Entstehung des dynamischen Auftriebes von Tragflügeln. Zeitschrift für angewandte Mathematik und Mechanik 5:17–35

    Article  MATH  Google Scholar 

  • Walker SM, Thomas ALR, Taylor GK (2010) Deformable wing kinematics in free-flying hoverflies. J R Soc Interface 7:131–142

    Article  Google Scholar 

  • Walker SM, Thomas ALR, Taylor GK (2012) Operation of the alula as an indicator of gear change in hoverflies. J R Soc Interface. 9:1194–1207

    Article  Google Scholar 

  • Wolf ML, Johansson LC, Busse RV, Winter Y, Hedenstrom A (2010) Kinematics of flight and the relationship to the vortex wake of a Pallas’ long tongued bat. J Exp Biol 213:2142–2153

    Article  Google Scholar 

  • Wu JC (1981) Theory for aerodynamic force and moment in viscous flow. AIAA J 19(4):432–441

    Article  MATH  Google Scholar 

  • Xia X, Mohseni K (2013) Lift evaluation of a 2D pitching flat plate. Phys Fluids 25:091901-1–091901-26

    Article  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  • Zhao L, Huang Q, Deng X, Sane SP (2010) Aerodynamics effects of flexibility in flapping wings. J R Soc Interface 7:485–497

    Article  Google Scholar 

  • Zhao L, Deng X, Sane SP (2011) Modulation of leading edge vorticity on the aerodynamic forces in flexible flapping wings. Bioinspir Biomim 6:036007-1–036007-7

    Article  Google Scholar 

Download references

Acknowledgments

This work was funded by Air Force Office of Scientific Research (AFSOR) Grant number FA9550-11-1-0058. SPS was funded by the Ramanujan fellowship from the Department of Science and Technology, Government of India.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xinyan Deng.

Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (MP4 579 kb)

Supplementary material 2 (MP4 2955 kb)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Y., Cheng, B., Sane, S.P. et al. Aerodynamics of dynamic wing flexion in translating wings. Exp Fluids 56, 131 (2015). https://doi.org/10.1007/s00348-015-1963-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00348-015-1963-1

Keywords

Navigation