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Concentration flux measurements in a polymer drag-reduced turbulent boundary layer

Published online by Cambridge University Press:  11 February 2010

V. S. R. SOMANDEPALLI ,
Y. X. HOU  and
M. G. MUNGAL
V. S. R. SOMANDEPALLI
Affiliation:
Mechanical Engineering Department, Stanford University, Stanford, CA 94305-3032, USA
Y. X. HOU
Affiliation:
Mechanical Engineering Department, Stanford University, Stanford, CA 94305-3032, USA
M. G. MUNGAL*
Affiliation:
Mechanical Engineering Department, Stanford University, Stanford, CA 94305-3032, USA School of Engineering, Santa Clara University, Santa Clara, CA 95053-0590, USA
*
†Email address for correspondence: [email protected]
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Abstract

The drag-reducing action of dilute solutions of long-chain polymers in a flat-plate turbulent boundary layer is studied using particle imaging velocimetry (PIV) and planar laser induced fluorescence (PLIF). The results are used to characterize and quantify the spatial distribution of the injected polymer solution and the downstream development of the DR along the flat plate. The two techniques were used simultaneously to document and study the spread of the injected polymer solution and the resulting changes in the structure and statistics of the turbulence in the boundary layer. The PLIF images provide a qualitative and quantitative measure of the dispersion of the injected polymer solution. The mean and root mean square (r.m.s.) concentration profiles obtained using PLIF showed that the polymer greatly suppressed the turbulent dispersion in the near-wall region. The quantitative concentration measurements across the boundary layer, combined with simultaneous velocity measurements, are used to obtain concentration flux measurements in the boundary layer and are used to study the effect of the turbulence on the dispersion of the injected polymer. The variation of the fluxes with concentration of the injected polymer solutions and with increasing downstream distance is also studied and documented. The action of the polymer is to reduce the streamwise fluxes in the boundary layer, the suppression increasing with concentration. Further, the fluxes are also used to estimate the turbulent Schmidt number (ScT) for the drag-reduced flow. For the polymer injection experiments, the ScT are all greater than unity with the highest magnitude measured to be around 6, with the magnitude increasing with increasing concentration of the injected solutions. However, for each experiment, the estimated ScT decreases along the length of the flat plate reflecting the loss of polymer effectiveness.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 644 , 10 February 2010 , pp. 281 - 319
Copyright
Copyright © Cambridge University Press 2010

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