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Vortex dynamics of clapping plates

Published online by Cambridge University Press:  02 January 2013

Daegyoum Kim,
Fazle Hussain and
Morteza Gharib
Daegyoum Kim
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
Fazle Hussain
Affiliation:
Department of Mechanical Engineering, University of Houston, Houston, TX 77204, USA
Morteza Gharib*
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
*
†Email address for correspondence: mgharib@caltech.edu
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Abstract

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Vortex formation and force generation of clapping plates with various aspect ratios ( $AR$ ) and stroke angles were investigated. Experiments were performed with a pair of hinged rectangular plates that were rotated symmetrically in a static fluid, and defocusing digital particle image velocimetry was employed to measure the three-dimensional flow field. Single-plate cases were also studied to compare with clapping plate cases. As $AR$ decreases, both circulation of the tip vortex and area enclosed by the vortex loop increase inversely. An empirical power-law relationship with a negative exponent is found between total impulse and $AR$ for a given stroke angle. The sensitivity of the force generated by the plates to the change of $AR$ is larger at the smaller stroke angle because of faster acceleration and deceleration. The increase in impulse per plate from the single-plate case to the clapping double-plate case is larger for lower $AR$ . These results reveal that low $AR$ wings are more efficient in propulsive force generation in some specific modes of unsteady flapping flight. The evolution of the wake structures is found to depend on $AR$ and stroke angle.

JFM classification

Biological Fluid Dynamics: Biological Fluid DynamicsBiological Fluid Dynamics: PropulsionBiological Fluid Dynamics: Swimming/flyingVortex Flows: Vortex dynamicsVortex Flows: Vortex Flows

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 714 , 10 January 2013, pp. 5 - 23
Copyright
©2013 Cambridge University Press

References

Betts, C. R. & Wootton, R. J. 1988 Wing shape and flight behavior in butterflies (Lepidoptera, Papilionoidea and Hesperioidea) – a preliminary analysis. J. Expl Biol. 138, 271–288.Google Scholar
Brodsky, A. K. 1991 Vortex formation in the tethered flight of the peacock butterfly Inachis io L. (Lepidoptera, Nymphalidae) and some aspects of insect flight evolution. J. Expl Biol. 161, 77–95.CrossRefGoogle Scholar
Cooter, R. J. & Baker, P. S. 1977 Weis-Fogh clap and fling mechanism in Locusta . Nature 269, 53–54.Google Scholar
Dudley, R. 1990 Biomechanics of flight in neotropical butterflies – morphometrics and kinematics. J. Expl Biol. 150, 37–53.Google Scholar
Ellington, C. P. 1984a The aerodynamics of hovering insect flight. 3. Kinematics. Phil. Trans. R. Soc. Lond. B 305, 41–78.Google Scholar
Ellington, C. P. 1984b The aerodynamics of hovering insect flight. 4. Aerodynamic mechanisms. Phil. Trans. R. Soc. Lond. B 305, 79–113.Google Scholar
Gal, J. M. & Blake, R. W. 1988 Biomechanics of frog swimming. 2. Mechanics of the limb-beat cycle in Hymenochirus boettgeri . J. Expl Biol. 138, 413–429.Google Scholar
Hussain, F. & Husain, H. S. 1989 Elliptic jets. 1. Characteristics of unexcited and excited jets. J. Fluid Mech. 208, 257–320.Google Scholar
Johansson, L. C. & Lauder, G. V. 2004 Hydrodynamics of surface swimming in leopard frogs (Rana pipiens). J. Expl Biol. 207, 3945–3958.Google Scholar
Kambe, T. & Takao, T. 1971 Motion of distorted vortex rings. J. Phys. Soc. Japan 31, 591–599.Google Scholar
Kida, S. & Takaoka, M. 1994 Vortex reconnection. Annu. Rev. Fluid Mech. 26, 169–189.Google Scholar
Kim, D. & Gharib, M. 2011 Characteristics of vortex formation and thrust performance in drag-based paddling propulsion. J. Expl Biol. 214, 2283–2291.CrossRefGoogle ScholarPubMed
Maxworthy, T. 1979 Experiments on the Weis-Fogh mechanism of lift generation by insects in hovering flight. 1. Dynamics of the fling. J. Fluid Mech. 93, 47–63.Google Scholar
Melander, M. V. & Hussain, F. 1989 Cross-linking of two antiparallel vortex tubes. Phys. Fluids A 1, 633–636.CrossRefGoogle Scholar
Miller, L. A. & Peskin, C. S. 2005 A computational fluid dynamics of ‘clap and fling’ in the smallest insects. J. Expl Biol. 208, 195–212.Google Scholar
Pereira, F. & Gharib, M. 2002 Defocusing digital particle image velocimetry and the three-dimensional characterization of two-phase flows. Meas. Sci. Technol. 13, 683–694.Google Scholar
Pereira, F., Stuer, H., Graff, E. C. & Gharib, M. 2006 Two-frame 3D particle tracking. Meas. Sci. Technol. 17, 1680–1692.Google Scholar
Spedding, G. R. & Maxworthy, T. 1986 The generation of circulation and lift in a rigid two-dimensional fling. J. Fluid Mech. 165, 247–272.Google Scholar
Stamhuis, E. J. & Nauwelaerts, S. 2005 Propulsive force calculations in swimming frogs. II. Application of a vortex ring model to DPIV data. J. Expl Biol. 208, 1445–1451.Google Scholar
Sun, M. & Yu, X. 2003 Flows around two airfoils performing fling and subsequent translation and translation and subsequent clap. Acta Mechanica Sin. 19, 103–117.Google Scholar
Weis-Fogh, T. 1973 Quick estimates of flight fitness in hovering animals, including novel mechanisms for lift production. J. Expl Biol. 59, 169–230.CrossRefGoogle Scholar
Willert, C. & Gharib, M. 1992 Three-dimensional particle imaging with a single camera. Exp. Fluids 12, 353–358.Google Scholar
Wu, J. C. 1981 Theory for aerodynamic force and moment in viscous flows. AIAA J. 19, 432–441.CrossRefGoogle Scholar