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The generation of circulation and lift in a rigid two-dimensional fling

Published online by Cambridge University Press:  21 April 2006

G. R. Spedding
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles, California 90089–0192
T. Maxworthy
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles, California 90089–0192

Abstract

The instantaneous lift forces on a pair of rigid wings opening by rotation about a common trailing edge (the fling) are measured and related to the unsteady flow field as revealed by simultaneous flow visualization. The effect of altering the wing-opening time history and the initial opening angle of the wing pair on circulation and lift generation is investigated. Dimensionless circulations and lift coefficients are compared with experimental and theoretical results in the literature and the relevance of these results to insects and engineers is discussed.

Type
Research Article
Copyright
© 1986 Cambridge University Press

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References

Dierckx, P. 1975 An algorithm for smoothing differentiation and integration of experimental data using spline functions. J. Comp. Appl. Maths 1, 165184.Google Scholar
Edwards, R. H. & Cheng, H. K. 1982 The separation vortex in the Weis-Fogh circulation generation mechanism. J. Fluid Mech. 120, 463473.Google Scholar
Ellington, C. P. 1975 Non-steady-state aerodynamics of the flight of Encarsia formosa. In Swimming and Flying in Nature (ed. T. Y. Wu, C. J. Brokaw & C. Brennen), vol. 2, pp. 783–796. Plenum.
Ellington, C. P. 1980 Vortices and hovering flight. In Instationäre Effekte an schwingenden Tierflügeln (ed. W. Nachtigall), pp. 74–101. Wiesbaden: Franz Steiner.
Ellington, C. P. 1984 The aerodynamics of hovering insect flight. IV. Aerodynamic mechanisms. Phil. Trans. R. Soc. Lond. B 305, 79113.Google Scholar
Fraenkel, L. E. 1972 Examples of steady vortex rings of small cross-section in an ideal fluid. J. Fluid Mech. 51, 119135.Google Scholar
Furber, S. B. & Ffowcs Williams, J. E. 1979 Is the Weis-Fogh principle exploitable in turbomachinery?J. Fluid Mech. 94, 519540.
Guiraud, J. P. & Zeytounian, R. KH. 1980 Rotational compressible inviscid flow with rolled vortex sheets. An analytical algorithm for the computation of the core. J. Fluid Mech. 101, 393–401.Google Scholar
Haussling, H. J. 1979 Boundary-fitted coordinates for accurate numerical solution of multibody flow problems. J. Comp. Phys. 30, 107124.Google Scholar
Heikes, K. E. & Maxwobthy, T. 1982 Observations of inertial waves in a homogeneous rotating fluid. J. Fluid Mech. 125, 319345.Google Scholar
Imaichi, K. & Ohmi, K. 1983 Numerical processing of flow-visualization pictures — measurement of two-dimensional vortex flow. J. Fluid Mech. 129, 283311.Google Scholar
Lamb, H. 1945 Hydrodynamics. Dover.
Liebeck, R. H. 1980 Design of airfoils for high lift. AIAA Paper No. 3034.
Lighthill, M. J. 1973 On the Weis-Fogh mechanism of lift generation. J. Fluid Mech. 60, 117.Google Scholar
McClellan, J. H., Parks, T. W. & Rabiner, L. R. 1973 A computer program for designing optimum FIR linear phase digital filters. IEEE Trans. Audio Electroacoust. 21, 506526.Google Scholar
McCroskey, W. J. 1981 The phenomenon of dynamic stall. NASA TM 81264.
Mahesca, C., Favier, D. & Rebont, J. 1979 Experiments on an aerofoil at high angle of incidence in longitudinal oscillations. J. Fluid Mech. 92, 671690.Google Scholar
Maxworthy, T. 1971 A simple observational technique for investigation of boundary-layers, stability and turbulence. In Turbulence Measurements in Liquids (ed. G. K. Paterson and J. L. Zakin). Dept Chem. Engng, University of Missouri: Rolla.
Max Worthy, 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.Google Scholar
Maxworthy, T. 1981 The fluid dynamics of insect flight. Ann. Rev. Fluid Mech. 13, 32950.Google Scholar
Moore, D. W. 1974 A numerical study of the roll-up of a finite vortex sheet. J. Fluid Mech. 63, 225235.Google Scholar
Rossow, V. J. 1978 Lift enhancement by an externally trapped vortex. J. Aircraft 15, 618625.Google Scholar
Sarpkaya, T. 1975 An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over an inclined plate. J. Fluid Mech. 68, 109128.Google Scholar
Savas, ö. 1985 On flow visualization using reflective flakes. J. Fluid Mech. 152, 235248.Google Scholar
Scholey, K. D. 1982 Developments in vertebrate flight: climbing and gliding of mammals and reptiles, and the flapping flight of birds. Ph.D. thesis, University of Bristol, England.
Wagner, H. 1925 Über die Entstehung des dynamischen Auftriebes von Tragflügeln. Z. angew. Math. Mech. 5, 1735.Google Scholar
Weis-Fogh, T. 1973 Quick estimates of flight fitness in hovering animals, including novel mechanisms for lift production. J. Exp. Biol. 59, 169230.Google Scholar
Wu, J. C. & Hu-Chen, H. 1984 Unsteady aerodynamics of articulate lifting bodies. AIAA Paper no. 2184.