Abstract
A numerical study is conducted in order to investigate the wake signature and aerodynamics forces of finite-span flapping wings. The unsteady laminar incompressible Navier-Stokes equations are solved on moving overlapping structured grids using a second-order accurate in space and time finite-difference scheme. Specifically, finite-span rigid wings undergoing pure heaving and root-flapping motions are studied. From the results presented, it is found that root-flapping wings produce wake structures similar to those of heaving wings, but with the difference that the latter wing kinematics generates larger vortices and forces than root-flapping wings; aside from this, similar wake regimes occurs at comparable values of the Strouhal numbers. The numerical simulations are performed at a Reynolds number of Re=250 and at different values of Strouhal number and reduced frequency.
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References
J. Favier, A. Dauptain, D. Basso, and A. Bottaro. Passive separation control using a self-adaptive hairy coating. Journal of Fluid Mechanics, 627:451–483, 2009.
K.D. Jones and M.F. Platzer. Experimental investigation of the aerodynamic characteristics of flapping-wing micro air vehicles. AIAA Paper 2003-0418-CP, 2003.
S.N. Singh, A. Simha, and T. Mittal. Auv maneuvering by pectoral fins: Inverse control design based on cfd parametrization. IEEE Journal of Oceanic Engineering, 29:777–785, 2004.
J.M. McMichael and M.S. Francis. Micro air vehicles—toward a new dimension in flight. Technical report, Defense Advanced Research Projects Agency (DARPA), 1997.
R. Michelson and M. Naqvi. Extraterrestrail flight (entompter-based mars surveyor). Von Karman Institute for Fluid Dynamics, Lecture Series Nov 24-28, 2003.
H. Dong, R. Mittal, and F.M. Najjar. Wake topology and hydrodynamic performance of low-aspect-ratio flapping foils. Journal of F, 566:309–343, 2006.
P. Blondeaux, F. Fornarelli, L. Guglielmini, M.S. Triantafyllou, and R. Verzicco. Numerical experiments on flapping foils mimicking fish-like locomotion. Physics of Fluids, 17:113601–113601–12, 2005.
R. Ramamurti and W. Sandberg. Computational study of three-dimensional flapping foil flows. Journal of Experimental Biology, 205:1507–1518, 2002.
K. Parker, K. von Ellenrieder and J. Soria. Flow structures behind a heaving and pitching finite-span wing. Journal of Fluid Mechanics, 490:129–138, 2003.
J. Guerrero. Numerical Simulation of the Unsteady Aerodynamics of Flapping Flight. PhD thesis, University of Genoa. Department of Civil, Environmental and Architectural Engineering, Italy, 2009.
G.S. Triantafyllou and M.S. Triantafyllou. An efficient swimming machine. Scientific American, 272:40–48, 1995.
J. Rohr and F. Fish. Strouhal number and optimization of swimming by odontocete cetaceans. The Journal of Experimental Biology, 207:1633–1642, 2004.
M.S. Triantafyllou, G.S. Triantafyllou, and R. Gopalkrishnan. Wake mechanics for thrust generation in oscillating foils. Physics of Fluids, 3:2835–2837, 1991.
R.L. Nudds, G.K. Taylor, and A.R. Thomas. Tuning of strouhal number for high propulsive efficiency accurately predicts how wingbeat frequency and stroke amplitude relate and scale with size and flight speed in birds. Proc. Biol. Sci., 7:2071–2076, 2004.
G.K. Taylor, R.L. Nudds, and A.R. Thomas. Flying and swimming animals cruise at a strouhal number tuned for high power efficiency. Letters to Nature, 425:707–711, 2003.
W.D. Henshaw. A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids. Journal of Computational Physics, 113:13–25, 1994.
G. Chesshire and W. Henshaw. Composite overlapping meshes for the solution of partial differential equations. Journal of Computational Physics, 90:1–64, 1990.
W. Henshaw. Ogen: An overlapping grid generator for overture. Technical report, Lawrence Livermore National Laboratory, Research Report UCRL-MA-132237, 1998.
M. Vinokur. Conservation equations of gas-dynamics in curvilinear coordinate systems. Journal of Computational Physics, 14:105–125, 1974.
N. Petersson. Stability of pressure boundary conditions for Stokes and Navier-Stokes equations. Journal of Computational Physics, 172:40–70, 2001.
R.L. Sani, J. Shen, O. Pironneau, and P.M. Gresho. Pressure boundary condition for the time-dependent incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids, 50:673–682, 2006.
H. Johnston and J. Liu. Finite difference schemes for incompressible flow based on local pressure boundary conditions. Journal of Computational Physics, 180:120–154, 2002.
P. Roache. Verification and Validation in Computational Science and Engineering. Hermosa Publishers, Socorro, USA, 1998.
J. Jeong and F. Hussain. On the identification of a vortex. Journal of Fluids Mechanics, 285:69–94, 1995.
R. Haimes and D. Kenwright. On the velocity gradient tensor and fluid feature extraction. AIAA Paper 1999-3288-CP, 1999.
Z.J. Wang. Vortex shedding and frequency selection in flapping flight. Journal of Fluid Mechanics, 410:323–341, 2000.
J. Young and J. Lai. Oscillation frequency and amplitude effects on the wake of a plunging airfoil. AIAA Journal, 42:2042–2052, 2004.
K. Parker, J. Soria, and K. von Ellenrieder. Thrust measurements from a finite-span flapping wing. AIAA Journal, 45:58–70, 2007.
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Guerrero, J.E. (2011). Wake Signature of Finite-Span Flapping Rigid Wings. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering '10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15748-6_31
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DOI: https://doi.org/10.1007/978-3-642-15748-6_31
Publisher Name: Springer, Berlin, Heidelberg
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