Hostname: page-component-848d4c4894-4hhp2 Total loading time: 0 Render date: 2024-05-11T06:42:21.521Z Has data issue: false hasContentIssue false

Unsteady aerodynamics of dragonfly using a simple wing–wing model from the perspective of a force decomposition

Published online by Cambridge University Press:  04 November 2010

CHENG-TA HSIEH
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, ROC Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, Taipei 115, Taiwan, ROC
CHUN-FEI KUNG
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, ROC Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, Taipei 115, Taiwan, ROC
CHIEN C. CHANG*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, ROC Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, Taipei 115, Taiwan, ROC
CHIN-CHOU CHU*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, ROC
*
Email address for correspondence: mechang@iam.ntu.edu.tw; chucc@iam.ntu.edu.tw
Email address for correspondence: mechang@iam.ntu.edu.tw; chucc@iam.ntu.edu.tw

Abstract

Insects perform their multitude of flight skills at frequencies of tens to hundreds of Hertz, and the aerodynamics of these skills are fundamentally unsteady. Intuitively, unsteadiness may come from unsteady wing motion, unsteady surface vorticity or vorticity being shed into the rear and front wakes. In this study, we propose to investigate the aerodynamics of dragonfly using a simplified wing–wing model from the perspective of many-body force decomposition and the associated force elements. Insect flight usually operates at Reynolds numbers of the order of several hundreds, at which the surface vorticity is shown to play a substantial role. There are important cases where the added mass effect is non-negligible. Nevertheless, the major contribution to the forces comes from the vorticity within the flow. This study focused on the effects of mutual interactions due to phase differences between the fore- and hindwings in the translational as well as rotational motions. It is well known that the dynamic stall vortex is an important mechanism for an unsteady wing to gain lift. In analysing the life cycles of lift and thrust elements, we also associate some high lift and thrust with the mechanisms identified as ‘riding on’ lift elements, ‘driven by’ thrust elements and ‘sucked by’ thrust elements, by which a wing makes use of a shed or fused vortex below, in front of, and behind it, respectively. In addition, a shear layer attaching to each wing may also provide significant thrust elements.

Type
Papers
Copyright
Copyright © Cambridge University Press 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Alexander, D. E. 1984 Unusual phase relationships between the forewings and hindwings in flying dragonflies. J. Expl Biol. 109, 379383.CrossRefGoogle Scholar
Azuma, A., Azuma, S., Watanabe, I. & Furuta, T. 1985 Flight mechanics of a dragonfly. J. Expl Biol. 116, 79107.CrossRefGoogle Scholar
Azuma, A. & Watanabe, T. 1988 Flight performance of a dragonfly. J. Expl Biol. 137, 221252.CrossRefGoogle Scholar
Biesheuvel, A. & Hagmeijer, R. 2006 On the force on a body moving in a fluid. Fluid Dyn. Res. 38, 716742.CrossRefGoogle Scholar
Burgers, J. M. 1920 On the resistance of fluids and vortex motion. Proc. K. Akad. Westenschappen te Amsterdam, pp. 774–782.Google Scholar
Chang, C. C. 1992 Potential flow and forces for incompressible viscous flow. Proc. R. Soc. A–Math. Phys. Engng Sci. 437, 517525.Google Scholar
Chang, C. C., Yang, S. H. & Chu, C. C. 2008 A many-body force decomposition with applications to flow about bluff bodies. J. Fluid Mech. 600, 95104.CrossRefGoogle Scholar
Dickinson, M. H., Lehmann, F. O. & Sane, S. P. 1999 Wing rotation and the aerodynamic basis of insect flight. Science 284, 19541960.CrossRefGoogle ScholarPubMed
Howarth, L. 1935 The theoretical determination of the lift coefficient for a thin elliptic cylinder. Proc. R. Soc. Lond. Ser. A 149, 558586.Google Scholar
Howe, M. S. 1995 On the force and moment on a body in an incompressible fluid, with application to rigid bodies and bubbles at high and low Reynolds numbers. Q. J. Mech. Appl. Math. 48, 401426.CrossRefGoogle Scholar
Howe, M. S., Lauchle, G. C. & Wang, J. 2001 Aerodynamic lift and drag fluctuations of a sphere. J. Fluid Mech. 436, 4157.CrossRefGoogle Scholar
Hsieh, C. T., Chang, C. C. & Chu, C. C. 2009 Revisiting the aerodynamics of hovering flight using simple models. J. Fluid Mech. 623, 121148.CrossRefGoogle Scholar
Kambe, T. 1986 Acoustics emissions by vortex motions. J. Fluid Mech. 173, 643666.CrossRefGoogle Scholar
Lan, C. E. 1979 The unsteady quasi-vortex-lattice method with applications to animal propulsion. J. Fluid Mech. 93, 747765.CrossRefGoogle Scholar
Landau, L. D. & Lifshitz, E. M. 1987 Fluid Mechanics, 2nd edn. Pergamon.Google Scholar
Lighthill, M. J. 1973 On Weis-Fogh mechanism of lift generation. J. Fluid Mech. 60, 117.CrossRefGoogle Scholar
Lighthill, M. J. 1979 Wave and hydrodynamic loading. In Proceedings of the Second International Conference on Behaviour of Off-Shore Structures, vol. 1, pp. 140. BHRA Cranfield.Google Scholar
Lighthill, M. J. 1986 Fundamentals concerning wave loading on offshore structures. J. Fluid Mech. 173, 667681.CrossRefGoogle Scholar
Maxworthy, T. 1979 Experiments on the Weis-Fogh mechanism of lift generation by insects in hovering flight. Part I. Dynamics of the fling. J. Fluid Mech. 93, 4763.CrossRefGoogle Scholar
Maybury, W. J. & Lehmann, F. O. 2004 The fluid dynamics of flight control by kinematic phase lag variation between two robotic insect wings. J. Expl Biol. 207, 47074726.CrossRefGoogle ScholarPubMed
Milne-Thomson, L. M. 1968 Theoretical Hydrodynamics, 5th edn. Macmillan.CrossRefGoogle Scholar
Norberg, R. A. 1975 Hovering flight of the dragonfly Aeschna juncea L. In Kinematics and Aerodynamics (ed. Wu, T. Y.-T., Brokaw, C. J. & Brennen, C.), vol. 2, pp. 763781. Plenum.Google Scholar
Ragazzo, C. G. & Tabak, E. G. 2007 On the force and torque on systems of rigid bodies: a remark on an integral formula due to Howe. Phys. Fluids 19, 057108.CrossRefGoogle Scholar
Saharon, D. & Luttges, M. W. 1988 Visualization of unsteady separated flow produces by mechanically driven dragonfly wing kinematics model. AIAA J. 880569, 123.Google Scholar
Sun, M. & Lan, S. L. 2004 A computational study of the aerodynamic forces and power requirements of dragonfly (Aeshna juncea) hovering. J. Expl Biol. 207, 18871901.CrossRefGoogle Scholar
Thomas, P. D. & Lombard, C. K. 1979 Geometric conservation law and its application to flow computations on moving grids. AIAA J. 17, 10301037.CrossRefGoogle Scholar
Thomas, A. L. R., Taylor, G. K., Srygley, R. B., Nudds, R. L. & Bomphrey, R. J. 2004 Dragonfly flight: free-flight and tethered flow visualizations reveal a diverse array of unsteady lift-generating mechanisms, controlled primarily via angle of attack. J. Expl Biol. 207, 42994323.CrossRefGoogle ScholarPubMed
Wakeling, J. M. & Ellington, C. P. 1997 Dragonfly flight. Part II. Velocities, accelerations, and kinematics of flapping flight. J. Expl Biol. 200, 557582.CrossRefGoogle Scholar
Wang, Z. J. 2000 Two-dimensional mechanism for insect hovering. Phys. Rev. Lett. 85, 22162219.CrossRefGoogle Scholar
Wang, Z. J. & Russell, D. 2007 Effect of forewing and hindwing interactions on aerodynamic forces and power in hovering dragonfly flight. Phys. Rev. Lett. 99, 148101.CrossRefGoogle ScholarPubMed
Weis-Fogh, T. 1973 Quick estimates of flight fitness in hovering animals, including novel mechanisms for lift production. J. Expl Biol. 59, 169230.CrossRefGoogle Scholar
Wu, J. C. 1981 Theory for aerodynamic force and moment in viscous flows. AIAA J. 19, 432441.CrossRefGoogle Scholar