Research Papers: Multiphase Flows

Second Law Characterization of Confined Turbulent Flows

[+] Author and Article Information
G. F. Naterer

 Faculty of Engineering and Applied Science, Memorial University of Newfoundland, 240 Prince Phillip Drive, St. John’s, NL, A1B 3X5, Canada

O. B. Adeyinka

 Oil Sands Development and Research, Imperial Oil Resources, 3535 Research Road NW, Calgary, AB, T2L 2K8, Canada

J. Fluids Eng 134(11), 111301 (Oct 24, 2012) (8 pages) doi:10.1115/1.4007743 History: Received July 01, 2011; Revised August 27, 2012; Published October 24, 2012

In this paper, a new measurement technique for turbulent entropy production is developed and applied to confined channel flows. Past methods of dimensional analysis, Clark gradient, and Smagorinsky models for subgrid turbulent stresses are examined to determine the flow irreversibilities throughout the flow field. The new experimental method obtains the turbulent irreversibilities up to a certain particle image velocimetry (PIV) cut-off wavelength, very close to the wall of the channel. Measured results of turbulence dissipation and entropy production at varying Reynolds numbers are presented and compared successfully against results from direct numerical simulations. The subgrid scale models of turbulent flow irreversibilities are shown to provide an effective alternative to direct PIV averaging of turbulent stresses, particularly close to the wall, where PIV resolution makes it difficult to precisely determine the averaged turbulence fluctuations. This paper develops a new PIV based method that enables the whole-field measurements of turbulent entropy production, and it presents new experimental data for entropy production in channel flows.

Copyright © 2012 by American Society of Mechanical Engineers
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Figure 1

Schematic of channel flow with pulsed laser PIV

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Figure 2

Near-wall velocity profiles normalized by the inner variables (u+  = u/ut and y+  = yut /ν)

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Figure 3

Measured mean velocity profiles at different streamwise locations (channel height of 0.018 m and width of 0.6 m)

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Figure 4

Comparison between measured (PIV) and predicted (DNS) velocities at a downstream position of x/h = 160

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Figure 5

Normalized velocity fluctuations at Re = 180, 183, and 187

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Figure 6

Predicted DNS dissipation rates at varying Reynolds numbers (note: dissipation rate is normalized by uτ4/ν)

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Figure 7

Measured turbulence dissipation rate based on dimensional analysis (note: dissipation rate is normalized by uτ4/ν)

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Figure 8

Viscous mean and turbulence components of the measured entropy production (note: entropy production is normalized by ρuτ4T/ν)

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Figure 9

Proportion of turbulence dissipative irreversibility to the total entropy production




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