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Experimental investigation of the scaling of vortex wandering in turbulent surroundings

Published online by Cambridge University Press:  23 March 2018

Sean C. C. Bailey Open the ORCID record for Sean C. C. Bailey [Opens in a new window] ,
Steffen Pentelow ,
Hari C. Ghimire ,
Bahareh Estejab ,
Melissa A. Green  and
Stavros Tavoularis Open the ORCID record for Stavros Tavoularis [Opens in a new window]
Sean C. C. Bailey*
Affiliation:
Department of Mechanical Engineering, University of Kentucky, Lexington, KY 40506, USA
Steffen Pentelow
Affiliation:
Department of Mechanical Engineering, University of Ottawa, Ottawa, ON K1N 6N5, Canada
Hari C. Ghimire
Affiliation:
Department of Mechanical Engineering, University of Kentucky, Lexington, KY 40506, USA
Bahareh Estejab
Affiliation:
Department of Mechanical Engineering, University of Kentucky, Lexington, KY 40506, USA
Melissa A. Green
Affiliation:
Department of Mechanical and Aerospace Engineering, Syracuse University, Syracuse, NY 13244, USA
Stavros Tavoularis
Affiliation:
Department of Mechanical Engineering, University of Ottawa, Ottawa, ON K1N 6N5, Canada
*
†Email address for correspondence: [email protected]
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Abstract

The wandering of a wing-tip vortex in free-stream turbulence was documented by analysis of multi-probe hot-wire measurements in a wind tunnel and flow visualisation and particle image velocimetry measurements in a water tunnel. An error-minimisation approach was applied to the hot-wire measurements to estimate the time history of the location of the vortex axis, whereas flow visualisation from two orthogonal views permitted the reconstruction of relatively long sections of the vortex axis. The amplitude of the wandering motion was found to scale with the turbulence intensity, the core radius and the vortex turnover time; this amplitude was insensitive to changes in the integral length and time scales of the turbulence. The period of the vortex wandering was distributed in the range between 1 and 10 vortex turnover times. The wavelength of wandering was distributed at a relatively long value, which scaled with the vortex turnover time. The velocity of vortex wandering depended on the vortex turnover time, but also contained an additional contribution that was consistent with motion induced by bending waves. The prevalence of the vortex turnover time as the scale for vortex wandering was interpreted as evidence that vortex-induced straining of the free-stream eddies bounds the interaction time between the two, thus limiting the time available for linear and angular momentum transfer.

JFM classification

Vortex Flows: Vortex dynamics Vortex Flows: Vortex Flows Vortex Flows: Vortex interactions
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 843 , 25 May 2018 , pp. 722 - 747
Copyright
© 2018 Cambridge University Press 

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Footnotes

‡

Present Address: Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA.

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