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Vortex force decomposition in the tip region of impulsively-started flat plates

Published online by Cambridge University Press:  04 September 2014

Jochen Kriegseis
Affiliation:
Institute of Fluid Mechanics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
David E. Rival*
Affiliation:
Department of Mechanical and Materials Engineering, Queen’s University, Kingston K7L 3N6, Canada
*
Email address for correspondence: [email protected]

Abstract

An investigation into the influence of seemingly analogous kinematics (plunge versus tow) for rapidly accelerating, low-aspect-ratio plates has been performed. The instantaneous forces and velocity fields were obtained simultaneously using a six-component force/moment sensor together with a three-dimensional particle tracking velocimetry (3D-PTV) system. Despite identical effective shear-layer velocities and effective angles of attack, the force histories are found to vary between the two aforementioned cases (plunge versus tow) once the impulsive motion is complete, as originally reported on by Kriegseis et al. (J. Fluid Mech., vol. 736, 2013, pp. 91–106). In order to uncover the cause for this curious discrepancy between the two analogous cases a vortex force decomposition is implemented. It is shown that the interplay between growth and orientation of the vortical structures significantly affects vortical hydrodynamic impulse and vortex force, and thus the net lift on the body.

Type
Papers
Copyright
© 2014 Cambridge University Press 

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References

Feng, Y., Goree, J. & Liu, B. 2011 Errors in particle tracking velocimetry with high-speed cameras. Rev. Sci. Instrum. 82, 053707.Google Scholar
Gazzola, M., Van Rees, W. M. & Koumoutsakos, P. 2012 C-start: optimal start of larval fish. J. Fluid Mech. 698, 518.Google Scholar
Green, S. I. 1995 Fluid Vortices: Fluid Mechanics and Its Applications. Kluwer Academic Print on Demand.Google Scholar
Hartloper, C. & Rival, D. 2013 Vortex development on pitching plates with lunate and truncate planforms. J. Fluid Mech. 732, 332344.CrossRefGoogle Scholar
Jardin, T., Farcy, A. & David, L. 2012 Three-dimensional effects in hovering flapping flight. J. Fluid Mech. 702, 102125.Google Scholar
Kim, D. & Gharib, M. 2010 Experimental study of three-dimensional vortex structures in translating and rotating plates. Exp. Fluids 49, 329339.Google Scholar
Kim, D. & Gharib, M. 2011 Flexibility effects on vortex formation of translating plates. J. Fluid Mech. 677, 255271.Google Scholar
Kriegseis, J., Kinzel, M. & Rival, D. E. 2013 On the persistence of memory: do initial conditions impact vortex formation? J. Fluid Mech. 736, 91106.Google Scholar
Lamb, H. 1877 On the conditions for steady motion of a fluid. Proc. Lond. Math. Soc. s1–9 (1), 9193.Google Scholar
Luethi, B., Tsinober, A. & Kinzelbach, W. 2005 Lagrangian measurement of vorticity dynamics in turbulent flow. J. Fluid Mech. 528, 87118.Google Scholar
Noca, F., Shiels, D. & Jeon, D. 1997 Measuring instantaneous fluid dynamic forces on bodies, using only velocity fields and their derivatives. J. Fluids Struct. 11 (3), 345350.Google Scholar
Noca, F., Shiels, D. & Jeon, D. 1999 A comparison of methods for evaluating time-dependent fluid dynamic forces on bodies, using only velocity fields and their derivatives. J. Fluids Struct. 13 (5), 551578.Google Scholar
Pitt Ford, C. W. & Babinsky, H. 2013 Lift and the leading edge vortex. J. Fluid Mech. 720, 280313.Google Scholar
Ringuette, M. J., Milano, M. & Gharib, M. 2007 Role of the tip vortex in the force generation of low-aspect-ratio normal flat plates. J. Fluid Mech. 581, 453468.Google Scholar
Saffman, P. G. 1995 Vortex Dynamics. Cambridge University Press.Google Scholar
Wu, J. Z., Ma, H. Y. & Zhou, J. Z. 2006 Vorticity and Vortex Dynamics. Springer.Google Scholar
Yilmaz, T. O. & Rockwell, D. 2012 Flow structure on finite-span wings due to pitch-up motion. J. Fluid Mech. 691, 518545.Google Scholar