Roughness Effects on the Mixing Properties in Open Channel Turbulent Boundary Layers

[+] Author and Article Information
Mark F. Tachie

Department of Mechanical and Industrial Engineering, University of Manitoba, Winnipeg, Canada R3T 5V6e-mail: tachiemf@cc.umanitoba.ca

Donald J. Bergstrom

Department of Mechanical Engineering, University of Saskatchewan, Saskatoon, Canada S7N 5A9

Ram Balachandar

Department of Civil & Environmental Engineering, University of Windsor, Windsor, Canada N9B 3P4

J. Fluids Eng 126(6), 1025-1032 (Mar 11, 2005) (8 pages) doi:10.1115/1.1792265 History: Received October 25, 2002; Revised April 05, 2004; Online March 11, 2005
Copyright © 2004 by ASME
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(a), (b) Schematics of the open channel; (c) photograph of wire-mesh roughness
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Effects of surface roughness on the mean velocity profiles: (a) outer coordinates (uncertainty in U/Ue: ±2%, y/δ: ±5%); (b) inner coordinates (uncertainty in U+: ±5%, y+: ±5%). Dashed lines denote logarithmic profiles; solid lines are polynomial fits to data.
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Distributions of Reynolds stresses on smooth and rough surfaces (uncertainty in normalized u2,v2,〈uv〉: ±12%, y/δ: ±5%). K&A denotes Krogstad & Antonia 4. Dashed line denotes u2/Uτ2 obtained using one-component LDA system; solid line denotes data by DeGraaff and Eaton 23.
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(a) Distribution of approximate turbulence kinetic energy (2k≈u2+v2) (uncertainty in normalized k: ±12%, y/δ: ±5%). (b) Distribution of major turbulence diffusion terms (〈v3〉+〈u2v〉) (uncertainty: ±15%).
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Effects of surface roughness on turbulence production (−〈uv〉∂U/∂y) and diffusion [0.75∂(〈u2v〉+〈v3〉)/∂y] (uncertainty in budget terms: ±15%)
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(a), (b) Distribution of eddy viscosity on smooth and rough surfaces (uncertainty: ±15%). (c), (d) Distribution of mixing length on smooth and rough surfaces (uncertainty: ±15%). K&A denotes Krogstad & Antonia 4; AL denotes Antonia and Luxton 23.




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