0
TECHNICAL PAPERS

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
Your Session has timed out. Please sign back in to continue.

References

Johnston,  J. P., Halleen,  R. M., and Lezius,  D. K., 1972, “Effects of Spanwise Rotation on the Structure of Two-Dimensional Fully Developed Turbulent Channel Flow,” J. Fluid Mech., 56, pp. 533–557.
Kristoffersen,  R., and Andersson,  H. I., 1973, “Direct simulations of low-Reynolds-number turbulent flow in a rotating channel,” J. Fluid Mech., 256, pp. 163–197.
Lamballais,  E., Métais,  O., and Lesieur,  M., 1998, “Spectral-Dynamic Model for Large-Eddy Simulations of Turbulent Rotating Flow,” Theor. Comput. Fluid Dyn., 12, pp. 149–177.
Chaouat,  B., 1997, “Flow Analysis of a Solid Propellant Rocket Motor with Aft Fins,” J. Propul. Power, 13, No. 2, pp. 194–196.
Launder,  B. E., Reece,  G. J., and Rodi,  W., 1975, “Progress in the Development of a Reynolds Stress Turbulence Closure,” J. Fluid Mech., 68, pp. 537–566.
Speziale,  C. G., Sarkar,  S., and Gatski,  T. B., 1991, “Modelling the Pressure-Strain Correlation of Turbulence: an Invariant Dynamical Systems Approach,” J. Fluid Mech., 227, pp. 245–272.
Gibson,  M. M., and Launder,  B. E., 1978, “Ground Effects on Pressure Fluctuations in the Atmospheric Boundary Layer,” J. Fluid Mech., 86, pp. 491–511.
So,  R. M., Lai,  Y. G., and Zhang,  H. S., 1991, “Second Order Near Wall Turbulence Closures: a Review,” AIAA J., 29, No. 11, pp. 1819–1835.
Hanjalic,  K., Hadzic,  I., and Jakilic,  S., 1999, “Modeling Turbulent Wall Flows Subjected to Strong Pressure Variations,” ASME J. Fluids Eng., 121, pp. 57–64.
Durbin,  P. A., 1993, “A Reynolds Stress Model for Near-Wall Turbulence,” J. Fluid Mech., 249, pp. 465–498.
Launder,  B. E., and Shima,  N., 1989, “Second Moment Closure for the Near Wall Sublayer: Development and Application,” AIAA J., 27, No. 10, pp. 1319–1325.
Pettersson,  B. A., and Andersson,  H. I., 1997, “Near Wall Reynolds Stress Modelling in Non-inertial Frames of Reference,” Fluid Dyn. Res., 19, pp. 251–276.
Moser,  R., Kim,  D., and Mansour,  N., 1999, “Direct Numerical Simulation of Turbulent Channel Flow up to Rτ=590,” Phys. Fluids, 11, No. 4, pp. 943–945.
Avalon, G., 1998, “Flow Instabilities and Acoustic Resonance of Channels with Wall Injection,” AIAA Paper 98-3218, July, In 34th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit.
Chaouat, B., 1999, “Numerical Simulations of Fully Developed Channel Flows Using k-ε, Algebraic and Reynolds Stress Models,” AIAA Paper 99-0158, Jan., In 37th AIAA Aerospace Sciences Meeting and Exhibit.
Shima,  N., 1993, “Prediction of Turbulent Boundary Layers with a Second-moment Closure: Part I-Effects of Periodic Pressure Gradient, Wall Transpiration and Free-stream Turbulence. Part II-Effects of Streamline Curvature and Spanwise Rotation,” ASME J. Fluids Eng., 115, pp. 56–69.
Schumann,  U., 1977, “Realizability of Reynolds Stress Turbulence Models,” Phys. Fluids, 20, No. 5, pp. 721–725.
Speziale,  C. G., Abid,  R., and Durbin,  P. A., 1994, “On the Realisability of Reynolds Stress Turbulence Closures,” J. Sci. Comput., 9, No. 4, pp. 369–403.
Tritton,  D. J., 1992, “Stabilization and destabilization of turbulent shear flow in a rotating fluid,” J. Fluid Mech., 241, pp. 503–523.
Sviridenkov,  A. A., and Yagodkin,  V. I., 1976, “Flows in the Initial Sections of Channels with Permeable Walls,” Fluid Dyn., 11, pp. 43–48.
Sabnis, J. S., Madabhushi, R. K., Gibeling, H. J., and Donald, H. M., 1989, “On the Use of k−ε Turbulence Model for Computation of Solid Rocket Internal Flows,” AIAA Paper 89-2558, July, in 25th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit.
Chaouat, B., 1997, “Computation using k−ε Model with Turbulent Mass Transfer in the Wall Region,” 11th Symposium on Turbulence Shear Flows, Vol. 2, pp. 2.71–2.76.
Beddini,  R. A., 1986, “Injection-Induced Flows in Porous-Walled Ducts,” AIAA J., 11, No. 6, pp. 1766–1773.
Yamada,  K., Goto,  M., and Ishikawa,  N., 1976, “Simulative Study on the Erosive Burning of Solid Rocket Motors,” AIAA J., 14, No. 9, pp. 1170–1176.
Dunlap,  R., Willoughby,  P. G., and Hermsen,  R. W., 1974, “Flowfield in the Combustion Chamber of a Solid Propellant Rocket Motor,” AIAA J., 12, No. 10, pp. 1440–1443.
Ramachandran, N., Heaman, J., and Smith, A., 1992, “An Experimental Study of the Fluid Mechanics Associated with Porous Walls,” AIAA Paper 92-0769, Jan., in 30th Aerospace Sciences Meeting and Exhibit.
Myong,  H., and Kasagi,  N., 1990, “A New Approach to the Improvement of k−ε Turbulence Model for Wall-Bounded Shear Flows,” JSME Int. J., 33, No. 1, pp. 63–72.

Figures

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.
Grahic Jump Location
(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.
Grahic Jump Location
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.
Grahic Jump Location
Solution trajectories in fully developed rotating channel flow projected onto the second-invariant/third-invariant plane (a) DNS; (b) RSM.
Grahic Jump Location
Schematic of channel flow with fluid injection
Grahic Jump Location
(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.
Grahic Jump Location
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.
Grahic Jump Location
(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: □.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In