Research Papers: Multiphase Flows

Drag Reduction in Turbulent Flow With Polymer Additives

[+] Author and Article Information
Shu-Qing Yang

School of Civil, Mining and Environmental Engineering, University of Wollongong, New South Wales 2522, Australiashuqing@uow.edu.au

J. Fluids Eng 131(5), 051301 (Apr 10, 2009) (8 pages) doi:10.1115/1.3111255 History: Received May 28, 2007; Revised August 02, 2008; Published April 10, 2009

The mean velocity profile and friction factor in turbulent flows with polymer additives are investigated using Prandtl’s mixing-length theorem. This study reveals that the mixing-length theorem is valid to express the drag-reducing phenomenon and that the presence of polymer additives increases the damping factor B in van Driest’s model; subsequently reducing the mixing-length, this interprets that the polymer hampers the transfer of turbulent momentum flux, the velocity is increased, and flow drag is reduced. This study also discusses the onset Reynolds number for drag reduction to occur. The predicted velocity, friction factor, and onset Reynolds number are in good agreement with the measured data in the literature.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

The velocity distribution in flows containing polymer additives after Virk (2)

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Figure 2

Relation between the damping factor B and D∗ based on the data shown in Fig. 1

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Figure 3

Comparison of Eq. 12 with the measured velocity profiles

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Figure 4

Velocity distribution inside the near wall region

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Figure 5

Comparison of measured velocity profiles in drag-reducing flows with DNS’s model after Ptasinski (25,35)

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Figure 6

Mean velocity profiles measured by Reischman and Tiederman (38); DR stands for drag reduction

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Figure 7

Linear relation between D∗ and Reynolds number based on Reischman and Tiederman’s (38) data

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Figure 8

Comparison of friction factor between the measured results by Virk (2) and Eq. 24



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