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Measurements of turbulent diffusion in uniformly sheared flow

Published online by Cambridge University Press:  07 August 2014

Christina Vanderwel  and
Stavros Tavoularis
Christina Vanderwel
Affiliation:
Department of Mechanical Engineering, University of Ottawa, Ottawa, ON K0A 3H0, Canada
Stavros Tavoularis*
Affiliation:
Department of Mechanical Engineering, University of Ottawa, Ottawa, ON K0A 3H0, Canada
*
†Email address for correspondence: stavros.tavoularis@uottawa.ca
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Abstract

The diffusion of a plume of dye in uniformly sheared turbulent flow in a water tunnel was investigated using simultaneous stereoscopic particle image velocimetry (SPIV) and planar laser-induced fluorescence (PLIF). Maps of the mean concentration and the turbulent concentration fluxes in planes normal to the plume axis were constructed, from which all components of the second-order turbulent diffusivity tensor were determined for the first time. Good agreement between the corresponding apparent and true diffusivities was observed. The turbulent diffusivity tensor was found to have strong off-diagonal components, whereas the streamwise component appeared to be counter-gradient. The different terms in the advection–diffusion equation were estimated from the measurements and their relative significance was discussed. All observed phenomena were explained by physical arguments and the results were compared to previous ones.

JFM classification

Turbulent Flows: Homogeneous turbulence Mixing: Turbulent mixing
Type
Papers
Information
Journal of Fluid Mechanics , Volume 754 , 10 September 2014 , pp. 488 - 514
Copyright
© 2014 Cambridge University Press 

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