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Stability and three-dimensional evolution of a transitional dynamic stall vortex

  • Abel-John Buchner (a1), Damon Honnery (a1) and Julio Soria (a1) (a2)

This paper describes a series of experiments using particle image velocimetry to investigate the dynamic stall resulting due to a rapid pitching motion of a flat plate. There exist in such unsteady separated flows multiple time-dependent coherent structures, whose interaction and evolution are complex and nonlinear. The experiments presented here are aimed at determining the behaviour of a dynamic stall vortex system in the Reynolds number range $10^{3} . Evidence is presented for the development of the three-dimensional structure associated with the dynamic stall vortex and its interaction with the no-slip boundary condition at the surface of the pitching plate. The analysis presented suggests that a centrifugal instability exists, and that the form of the three-dimensional structure is consistent with that expected of a centrifugal instability. The structure and scale dependence of the flow are explored using wavelet and Fourier methods, with the dependence of the flow on Reynolds number examined, as well as the influence of spanwise end boundary conditions.

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Anderson, J. D. 2011 Fundamentals of Aerodynamics. McGraw–Hill.
Baik, Y. S. & Bernal, L. P. 2012 Experimental study of pitching and plunging airfoils at low Reynolds numbers. Exp. Fluids 53, 19791992.
Baik, Y. S., Bernal, L. P., Granlund, K. & Ol, M. V. 2012 Unsteady force generation and vortex dynamics of pitching and plunging aerofoils. J. Fluid Mech. 709, 3768.
Bayly, B. J. 1988 Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows. Phys. Fluids 31, 5664.
Brennen, C. E.1982 A review of added mass and fluid inertial forces. Tech. Rep., CR-82.010, Naval Civil Engineering Laboratory.
Buchner, A.-J., Buchmann, N. A., Kilany, K., Atkinson, C. H. & Soria, J. 2012 Stereoscopic and tomographic PIV of a pitching plate. Exp. Fluids 52, 299314.
Buchner, A.-J., Lohry, M. W., Martinelli, L., Soria, J. & Smits, A. J. 2015a Dynamic stall in vertical axis wind turbines: comparing experiments and computations. J. Wind Engng Ind. Aerodyn. 146, 163171.
Buchner, A.-J., Smits, A. J. & Soria, J. 2014 Scaling of vertical axis wind turbine dynamic stall. In 19th Australasian Fluid Mechanics Conference, Melbourne, Australia. AFMS.
Buchner, A.-J. & Soria, J. 2014 Measurements of the flow due to a rapidly pitching plate using time resolved high resolution PIV. Aerosp. Sci. Technol. 44, 417.
Buchner, A.-J., Soria, J. & Smits, A. J. 2015b Circulation production and shedding from vertical axis wind turbine blades undergoing dynamic stall. In 9th International Symposium on Turbulence and Shear Flow Phenomena, Melbourne, Australia. TSFP. Available at:
Canals, M. & Pawlak, G. 2011 Three-dimensional vortex dynamics in oscillatory flow separation. J. Fluid Mech. 674, 408432.
Carr, L. W. 1988 Progress in analysis and prediction of dynamic stall. J. Aircraft 25 (1), 617.
Conger, R. N. & Ramaprian, B. R. 1994 Pressure measurements on a pitching airfoil in a water channel. AIAA J. 32 (1), 108115.
Daubechies, I. 1988 Orthonormal bases of compactly supported wavelets. Commun. Pure Appl. Maths 41, 909996.
Eldredge, J. D., Chengjie, W. & Ol, M. V. 2009 A computational study of a canonical pitch-up, pitch-down wing maneuver. In 39th AIAA Fluid Dynamics Conference, San Antonio, Texas, AIAA2009-3687. AIAA.
Ellington, C. P., Van den Berg, C., Willmott, A. P. & Thomas, A. L. R. 1996 Leading edge vortices in insect flight. Nature 384, 626630.
Eslam Panah, A., Akkala, J. M. & Buchholz, J. H. J. 2015 Vorticity transport and the leading edge vortex of a plunging airfoil. Exp. Fluids 56 (8), 160.
Ferreira, C. S., van Kuik, G., van Bussel, G. & Scarano, F. 2009 Visualisation by PIV of dynamic stall on a vertical axis wind turbine. Exp. Fluids 46, 97108.
Garmann, D. J. & Visbal, M. R. 2011 Numerical investigation of transitional flow over a rapidly pitching plate. Phys. Fluids 23, 094106.
Gendrich, C. P., Koochesfahani, M. M. & Visbal, M. R. 1995 Effects of initial acceleration on the flow field development around rapidly pitching airfoils. Trans. ASME J. Fluids Engng 117 (1), 4549.
Görtler, H. 1954 On the three-dimensional instability of laminar boundary layers on concave walls. In NACA Technical Memorandum 1375.
Ham, N. D. & Garelick, M. S. 1968 Dynamic stall considerations in helicopter rotors. J. Am. Helicopter Society 13 (2), 4955.
Harris, F. D. & Pruyn, R. R. 1968 Blade stall – half fact, half fiction. J. Am. Helicopter Society 13 (2), 2748.
Katul, G. G. & Parlange, M. B. 1994 The spatial structure of turbulence at production wavenumbers using orthonormal wavelets. Boundary-Layer Meteorol. 75 (1), 81108.
Koochesfahani, M. M. & Smiljanovski, V. 1992 Effect of initial acceleration on the development of the flow field of an airfoil pitching at constant rate. In Proceedings of NASA/AFOSR/ARO Workshop on Physics of Forced Unsteady Separation, NASA Ames Research Center, pp. 317332.
Koochesfahani, M. M. & Smiljanovski, V. 1993 Initial acceleration effects on flow evolution around airfoils pitching to high angles of attack. AIAA J. 31 (8), 15291531.
Lang, J. D. & Francis, M. S. 1985 Unsteady aerodynamics and dynamic aircraft maneuverability. In NATO Advisory Group for Aerospace Research and Development (AGARD) Technical Meeting on Unsteady Aerodynamics – Fundamentals and Applications to Aircraft Dynamics, May 6–9. Paper No. A29. NATO.
Larsen, J. W., Nielsen, S. R. K. & Krenk, S. 2007 Dynamic stall model for wind turbine airfoils. J. Fluids Struct. 23, 959982.
Li, H., Takei, M., Ochi, M., Saito, Y. & Horii, K. 1999 Structure evaluation of unsteady turbulent flow with continuous and discrete wavelet transforms. In 3rd ASME/JSME Joint Fluids Engineering Conference, San Francisco, California, FEDSM99-7167. ASME.
Mallat, S. 1989 A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. Pattern Anal. Mach. Intell. 11, 674693.
McCroskey, W. 1982 Unsteady airfoils. Annu. Rev. Fluid Mech. 14, 285311.
McCroskey, W. J., Carr, L. W. & McAlister, K. W. 1976 Dynamic stall experiments on oscillating airfoils. AIAA J. 14 (1), 5763.
Newland, D. E. 1995 An Introduction to Random Vibrations, Spectral and Wavelet Analaysis, 3rd edn. Longman Scientific and Technical.
Ol, M. V. 2009 The high-frequency, high-amplitude pitch problem: airfoils, plates and wings. In 39th AIAA Fluid Dynamics Conference, San Antonio, Texas, AIAA2009-3686. AIAA.
Ol, M. V., Altman, A., Eldredge, J. D., Garmann, D. J. & Lian, Y. 2010 Resume of the AIAA FDTC low Reynolds number discussion group’s canonical cases. In 48th AIAA Aerospace Sciences Meeting, Orlando, Florida, AIAA2010-1085. AIAA.
Ol, M. V., Bernal, L., Kang, C.-K. & Shyy, W. 2009a Shallow and deep dynamic stall for flapping low Reynolds number airfoils. Exp. Fluids 46 (5), 883901.
Ol, M. V., Eldredge, J. D. & Wang, C. 2009b High-amplitude pitch of a flat plate: an abstraction of perching and flapping. Intl J. Micro Air Vehicles 1 (3), 3348.
Qian, S. & Weiss, J. 1993 Wavelets and the numerical solution of boundary value problems. Appl. Maths. Lett. 6 (1), 4752.
Raffel, M., Willert, C., Wereley, S. & Kompenhans, J. 2007 Particle Image Velocimetry: A Practical Guide, 2nd edn. Springer.
Ramesh, K., Gopalarathnam, A., Granlund, K., Ol, M. V. & Edwards, J. R. 2014 Discrete-vortex method with novel shedding criterion for unsteady aerofoil flows with intermittent leading-edge vortex shedding. J. Fluid Mech. 751, 500538.
Rayleigh, Lord 1917 On the dynamics of revolving flows. Proc. R. Soc. Lond. A 93, 148154.
Robinson, M. C. & Wissler, J. B. 1988 Pitch rate and Reynolds number effects on a pitching rectangular wing. In 6th Applied Aerodynamics Conference, Williamsburg, Virginia. AIAA Paper 88-2577-CP. AIAA.
Shreck, S. J., Faller, W. E. & Helin, H. E. 1998 Pitch rate and Reynolds number effects on unsteady boundary-layer transition and separation. J. Aircraft 35 (1), 4652.
Shreck, S. J., Faller, W. E. & Robinson, M. C. 2002 Unsteady separation rocesses and leading edge vortex precursors: pitch rate and Reynolds number influences. J. Aircraft 39 (5), 868875.
Shyy, W., Lian, Y., Tang, J., Viieru, D. & Liu, H. 2008 Aerodynamics of Low Reynolds Number Flyers. Cambridge University Press.
Sipp, D. & Jacquin, L. 2000 Three-dimensional centrifugal-type instabilities of two-dimensional flows in rotating systems. Phys. Fluids 12 (7), 17401748.
Soria, J. 1996 An investigation of the near wake of a circular cylinder using a video-based digital cross-correlation particle image velocimetry technique. Exp. Therm. Fluid Sci. 12 (2), 221233.
Soria, J., Cater, J. & Kostas, J. 1999 High resolution multigrid cross-correlation digital PIV measurements of a turbulent starting jet using half frame image shift film recording. Opt. Laser Technol 31, 312.
Soria, J., New, T. H., Lim, T. T. & Parker, K. 2003 Multigrid CCDPIV measurements of accelerated flow past an airfoil at an angle of attack of 30° . Exp. Therm. Fluid Sci. 27, 667676.
Strang, G. 1989 Wavelets and dilation equations: a brief introduction. SIAM Rev. 31 (4), 614627.
Strang, G. & Fix, G. 1973 A Fourier Analysis of the Finite Element Variational Method. Edizioni Cremonese.
Theisel, H.1995 Vector field curvature and applications. PhD thesis, Universität Rostock.
Visbal, M. 2009 High-fidelity simulation of transitional flows past a plunging airfoil. AIAA J. 47 (11).
Weng, H. & Lau, K-M. 1994 Wavelets, period doubling, and time frequency localization with application to organization of convection over the tropical western Pacific. J. Atmos. Sci. 51 (17), 25232541.
Williamson, C. H. K. 1996 Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477539.
Wu, J., Sheridan, J., Soria, J. & Welsh, M. C. 1994 An exerimental investigation of streamwise vortices in the wake of a bluff body. J. Fluids Struct. 8, 621625.
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