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Aerodynamic characteristics of flapping wings under steady lateral inflow

Published online by Cambridge University Press:  15 May 2019

Jong-Seob Han
Affiliation:
Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology (KAIST), 291 Daehak-ro, Yuseong-gu, Daejeon, Republic of Korea
Anh Tuan Nguyen
Affiliation:
Faculty of Aerospace Engineering, Le Quy Don Technical University, 236 Hoang Quoc Viet, Bac Tu Liem, Hanoi, Vietnam
Jae-Hung Han*
Affiliation:
Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology (KAIST), 291 Daehak-ro, Yuseong-gu, Daejeon, Republic of Korea
*
Email address for correspondence: [email protected]

Abstract

This experimental study investigates the effect of a uniform lateral inflow on the aerodynamic characteristics of flapping wings. Seven designated sideward ratios in the hovering condition and in the presence of a contralateral wing and a body were taken into account as variables in order to secure a better understanding of wing–wing and/or wing–body interactions under the lateral inflow. Our results from the single-wing cases clarified that an inflow running from the wingroot strengthened the leading-edge vortex, thereby augmenting the aerodynamic force/moment. The inflow running in the opposite direction drastically bent the leading-edge vortex to the trailing edge, but the cycle-averaged aerodynamic force/moment was barely changed. This led to substantial imbalances in the force/moment on the two wings. The roll moment on a centre of gravity and the static margin suggested flight instability in the lateral direction, similar to previous studies. We found that the wing–wing interaction was not completely negligible overall under a lateral inflow. A massive downwash induced by the wing on the windward side nearly neutralized the aerodynamic force/moment augmentations on the other wing with lower effective angles of attack. The wing–wing interaction also gave rise to a low-lift high-drag situation during the pitching-up wing rotation, resulting in greater side force derivatives than the theory of flapping counterforce. Further calculations of the roll moment and the static margin with the centre of gravity showed that the wing–wing interaction can improve static stability in the lateral direction. This mainly stemmed from both the attenuation of the lift augmentation and the elimination of the positive roll moment of the flapping-wing system.

Type
JFM Papers
Copyright
© 2019 Cambridge University Press 

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References

Aono, H., Liang, F. & Liu, H. 2008 Near- and far-field aerodynamics in insect hovering flight: an integrated computational study. J. Expl Biol. 211, 239257.Google Scholar
Birch, J. M. & Dickinson, M. H. 2003 The influence of wing–wake interactions on the production of aerodynamic forces in flapping flight. J. Expl Biol. 206, 22572272.Google Scholar
Birch, J. M., Dickson, W. B. & Dickinson, M. H. 2004 Force production and flow structure of the leading edge vortex on flapping wings at high and low Reynolds numbers. J. Expl Biol. 207, 10631072.Google Scholar
Bluman, J. & Kang, C. K. 2017 Wing-wake interaction destabilizes hover equilibrium of a flapping insect-scale wing. Bioinspir. Biomim. 12, 046004.Google Scholar
Bross, M., Ozen, C. & Rockwell, D. 2013 Flow structure on a rotating wing: effect of steady incident flow. Phys. Fluids 25, 081901.Google Scholar
Carr, Z. R., Chen, C. & Ringuette, M. J. 2013 Finite-span rotating wings: three-dimensional vortex formation and variations with aspect ratio. Exp. Fluids 54, 126.Google Scholar
Carr, Z. R., DeVoria, A. C. & Ringuette, M. J. 2015 Aspect-ratio effects on rotating wings: circulation and forces. J. Fluid Mech. 767, 497525.Google Scholar
Cheng, B. & Deng, X. 2011 Translational and rotational damping of flapping flight and its dynamics and stability at hovering. IEEE Trans. Robot. 27, 849864.Google Scholar
Dickinson, M. H., Lehmann, F. O. & Sane, S. 1999 Wing rotation and the aerodynamic basis of insect flight. Science 284, 19541960.Google Scholar
Ellington, C. P. 1984 The aerodynamics of insect flight. II. Morphological parameters. Phil. Trans. R. Soc. Lond. B 305, 1740.Google Scholar
Ellington, C. P. 1999 The novel aerodynamics of insect flight: applications to micro-air vehicles. J. Expl Biol. 202, 34393448.Google Scholar
Ellington, C. P., Van den Berg, C., Willmott, A. P. & Thomas, A. L. R. 1996 Leading-edge vortices in insect flight. Nature 384, 626630.Google Scholar
Faruque, I. & Humbert, J. S. 2010a Dipteran insect flight dynamics. Part 1. Longitudinal motion about hover. J. Theor. Biol. 264, 538552.Google Scholar
Faruque, I. & Humbert, J. S. 2010b Dipteran insect flight dynamics. Part 2. Lateral–directional motion about hover. J. Theor. Biol. 265, 306313.Google Scholar
Garmann, D. J., Visbal, M. R. & Orkwis, P. D. 2013 Three-dimensional flow structure and aerodynamic loading on a revolving wing. Phys. Fluids 25, 034101.Google Scholar
Greeter, J. S. M. & Hedrick, T. L. 2016 Direct lateral maneuvers in hawkmoths. Biol. Open 5, 7282.Google Scholar
Han, J.-S., Chang, J. W. & Cho, H.-K. 2015a Vortices behavior depending on the aspect ratio of an insect-like flapping wing in hover. Exp. Fluids 56, 181.Google Scholar
Han, J.-S., Chang, J. W. & Han, J.-H. 2016 The advance ratio effect on the lift augmentations of an insect-like flapping wing in forward flight. J. Fluid Mech. 808, 485510.Google Scholar
Han, J.-S., Chang, J. W. & Han, J.-H. 2017 An aerodynamic model for a flapping wing in forward flight. Bioinspir. Biomim. 12, 036004.Google Scholar
Han, J.-S., Chang, J. W. & Kim, S.-T. 2014 Reynolds number dependency of an insect-based flapping wing. Bioinspir. Biomim. 9, 046012.Google Scholar
Han, J.-S., Chang, J. W., Kim, J.-K. & Han, J.-H. 2015b Role of trailing edge vortices on the hawkmoth-like flapping wing. J. Aircraft 52, 12561266.Google Scholar
Han, J.-S., Kim, J.-K., Chang, J. W. & Han, J.-H. 2015c An improved quasi-steady aerodynamic model for insect wings that considers movement of the center of pressure. Bioinspir. Biomim. 10, 046014.Google Scholar
Han, J.-S., Kim, H.-Y. & Han, J.-H. 2019 Interactions of the wakes of two flapping wings in hover. Phys. Fluids 31, 021901.Google Scholar
Harbig, R. R., Sheridan, J. & Thompson, M. C. 2014 The role of advance ratio and aspect ratio in determining leading-edge vortex stability for flapping flight. J. Fluid Mech. 751, 71105.Google Scholar
Jones, M. & Yamaleev, N. K. 2016 Effect of lateral, downward, and frontal gusts on flapping wing performance. Comput. Fluids 140, 175190.Google Scholar
Kim, D. & Gharib, M. 2010 Experimental study of three-dimensional vortex structures in translating and rotating plates. Exp. Fluids 49, 329339.Google Scholar
Kim, J.-K. & Han, J.-H. 2014 A multibody approach for 6-DOF flight dynamics and stability analysis of the hawkmoth Manduca sexta . Bioinspir. Biomim. 9, 016011.Google Scholar
Kim, J.-K., Han, J.-S., Lee, J.-S. & Han, J.-H. 2015 Hovering and forward flight of the hawkmoth Manduca sexta: trim search and 6-DOF dynamic stability characterization. Bioinspir. Biomim. 10, 056012.Google Scholar
Kruyt, J. W., van Heijst, G. F., Altshuler, D. L. & Lentink, D. 2015 Power reduction and the radial limit of stall delay in revolving wings of different aspect ratio. J. R. Soc. Interface 12, 20150051.Google Scholar
Kweon, J. H. & Choi, H. 2010 Sectional lift coefficient of a flapping in hovering motion. Phys. Fluids 22, 071703.Google Scholar
Kweon, J. & Choi, H. 2012 Three-dimensional flows around a flapping wing in ground effect. In International Conference on Computational Fluid Dynamics, 9–13 July, Mauna Lani, Hawaii, USA.Google Scholar
Lentink, D. & Dickinson, M. H. 2009a Biofluiddynamic scaling of flapping, spinning and translating fins and wings. J. Expl Biol. 212, 26912704.Google Scholar
Lentink, D. & Dickinson, M. H. 2009b Rotational accelerations stabilize leading edge vortices on revolving fly wings. J. Expl Biol. 212, 27052719.Google Scholar
Liang, B. & Sun, M. 2013 Nonlinear flight dynamics and stability of hovering model insects. J. R. Soc. Interface 10, 20130269.Google Scholar
Lu, Y. & Shen, G. X. 2008 Three-dimensional flow structures and evolution of the leading-edge vortices on a flapping wing. J. Expl Biol. 211, 12211230.Google Scholar
Lu, Y., Shen, G. X. & Lai, G. J. 2006 Dual leading-edge vortices on flapping wings. J. Expl Biol. 209, 50055016.Google Scholar
Lua, K. B., Lim, T. T. & Yeo, K. S. 2014 Scaling of aerodynamic forces of three-dimensional flapping wings. AIAA J. 52, 10951101.Google Scholar
Nguyen, A. T., Han, J.-S. & Han, J.-H. 2017 Effect of body aerodynamics on the dynamic flight stability of the hawkmoth Manduca Sexta . Bioinspir. Biomim. 12, 016007.Google Scholar
Ozen, C. A. & Rockwell, D.2013 Flow structure on a rotating wing: effect of wing aspect ratio and shape. AIAA Paper 2013-0676.Google Scholar
Poelma, C., Dickson, W. B. & Dickinson, M. H. 2006 Time-resolved reconstruction of the full velocity field around a dynamically-scaled flapping wing. Exp. Fluids 41, 213225.Google Scholar
Raffel, M., Willert, C., Wereley, S. & Kompenhans, J. 2007 Particle Image Velocimetry: A Practical Guide. Springer.Google Scholar
Ramamurti, R. & Sandberg, W. C. 2002 A three-dimensional computational study of the aerodynamic mechanisms of insect flight. J. Expl Biol. 205, 15071518.Google Scholar
Sane, S. P. & Dickinson, M. H. 2001 The control of flight force by a flapping wing: lift and drag production. J. Expl Biol. 204, 26072626.Google Scholar
Sane, S. P. & Dickinson, M. H. 2002 The aerodynamic effects of wing rotation and a revised quasi-steady model of flapping flight. J. Expl Biol. 205, 10871096.Google Scholar
Sun, M. 2014 Insect flight dynamics: stability and control. Rev. Mod. Phys. 86, 615646.Google Scholar
Sun, M. & Tang, J. 2002 Unsteady aerodynamic force generation by a model fruit fly wing in flapping motion. J. Expl Biol. 205, 5570.Google Scholar
Thielicke, W. & Stamhuis, E. J. 2014 PIVlab: towards user-friendly, affordable and accurate digital particle image velocimetry in MATLAB. J. Open Res. Softw. 2, e30.Google Scholar
Usherwood, J. R. & Ellington, C. P. 2002 The aerodynamics of revolving wings I. Model hawkmoth wings. J. Expl. Biol. 205, 15471564.Google Scholar
Walker, J. A. 2002 Rotational lift: something different or more of the same? J. Expl Biol. 205, 37833792.Google Scholar
Wan, H., Dong, H. & Gai, K. 2015 Computational investigation of cicada aerodynamics in forward flight. J. R. Soc. Interface 12, 20141116.Google Scholar
Willmott, A. P. & Ellington, C. P. 1997 The mechanics of flight in the hawkmoth Manduca sexta. I. Kinematics of hovering and forward flight. J. Expl Biol. 200, 27052722.Google Scholar
Wolfinger, M. & Rockwell, D. 2014 Flow structure on a rotating wing: effect of radius of gyration. J. Fluid Mech. 755, 83110.Google Scholar
Wolfinger, M. & Rockwell, D. 2015 Transformation of flow structure on a rotating wing due to variation of radius of gyration. Exp. Fluids 56, 137.Google Scholar
Zhang, Y. & Sun, M. 2010a Dynamic flight stability of a hovering model insect: lateral motion. Acta Mechanica Sin. 26, 175190.Google Scholar
Zhang, Y. & Sun, M. 2010b Dynamic flight stability of hovering model insects: theory versus simulation using equations of motion coupled with Navier–Stokes equations. Acta Mechanica Sin. 26, 509520.Google Scholar
Zhang, Y., Wu, J. H. & Sun, M. 2012 Lateral dynamic flight stability of hovering insects: theory versus numerical simulation. Acta Mechanica Sin. 28, 221231.Google Scholar