Simulations of Channel Flows With Effects of Spanwise Rotation or Wall Injection Using a Reynolds Stress Model

[+] Author and Article Information
Bruno Chaouat

ONERA, Computational Fluid Dynamics and Aeroacoustics Department, Chatillon 92322, France

J. Fluids Eng 123(1), 2-10 (Nov 16, 2000) (9 pages) doi:10.1115/1.1343109 History: Received January 17, 2000; Revised November 16, 2000
Copyright © 2001 by ASME
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Grahic Jump Location
Schematic of fully-developed turbulent channel flow in a rotating frame
Grahic Jump Location
(a) Mean velocity profile ū1/uτ in logarithmic coordinates; ▵: DNS; solid-line: RSM. (b) Root-mean square velocity fluctuations normalized by the wall shear velocity in global coordinates; Symbols: DNS data; lines: RSM; (u1u1˜)1/2/uτ: ▵, solid-line; (u2u2˜Rτ=395)1/2/uτ: ◃, dashed-line; (u3u3˜)1/2/uτ: ▹, dotted-line.
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(a), (b) Mean velocity profile ū1/um in global coordinates; ▵: DNS; solid-line: RSM. (c), (d) Root-mean square velocity fluctuations normalized by the bulk velocity; Symbols: DNS data; lines: RSM; (u1u1˜)1/2/um: ▵, solid-line; (u2u2˜)1/2/um: ◃, dashed-line; (u3u3˜)1/2/um: ▹, dotted-line. (e), (f ) Turbulent Reynolds shear stress normalized by the bulk velocity in global coordinates u1u2˜/um2; ▵: DNS; solid-line: RSM. (a, (c), (e): Rτ=162,Ro=18; (b), (d), (f): Rτ=162,Ro=6.
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Variation with the rotation number Rot=Ωδ/um of the normalized cyclonic and anticyclonic friction velocities. Solid-line, ◃, ▹: DNS results from Kristoffersen et al. 2; dotted-line, ▵, ▿: DNS results from Lamballais et al. 3; dashed-line, □, ⋄: present RSM results.
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Solution trajectories in fully developed rotating channel flow projected onto the second-invariant/third-invariant plane (a) DNS; (b) RSM.
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Schematic of channel flow with fluid injection
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(a) Streamlines and mean flow velocity field; σs=0.2. (b) Mach number contours; ▵=0.01; σs=0.2. (c), (d) Contours of turbulent Reynolds number Rt=k2/νε; ▵=110; (c): σs=0.2;0<Rt<4000. (d): σs=0.5;0<Rt<4200.
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Axial variations of turbulent coefficients for different values of the injection parameter σs. (a) Reynolds number Rτ; (b) coefficient α. Dot-dashed-line: σs=0.1; dotted-line: σs=0.2; dashed-line: σs=0.3; long-dashed-line: σs=0.4; solid-line: σs=0.5.
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(a) Mean dimensionless velocity profiles. (b) Root-mean square velocity fluctuations normalized by the bulk velocity (u1u1˜)1/2/um. (c) (u2u2˜)1/2/um. (d) u1u2˜/um2s=0.2. Symbols: experimental data; lines: RSM. x1=22 cm: ◃, dotted-line; 40 cm: +, dashed-line; 57 cm: ○, solid-line.
Grahic Jump Location
Root-mean square velocity fluctuations normalized by the bulk velocity (u2u2˜)1/2/ums=0.2. Symbols: experimental data; solid-line: RSM; dashed-line: k−ε. (a) 35 cm: ▹; (b) 45 cm: □.




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