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TECHNICAL PAPERS

Rough Wall Modification of Two-Layer k−ε

[+] Author and Article Information
P. A. Durbin, G. Medic, J.-M. Seo, J. K. Eaton, S. Song

Mechanical Engineering Department, Stanford University, Stanford, CA 94305-3030

J. Fluids Eng 123(1), 16-21 (Nov 17, 2000) (6 pages) doi:10.1115/1.1343086 History: Received May 08, 2000; Revised November 17, 2000
Copyright © 2001 by ASME
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References

Chen,  C.-J., and Patel,  V.-C., 1988, “Near-wall turbulence models for complex flows including separation,” AIAA J., 26, pp. 641–648.
Rodi, W., 1991, “Experience using two-layer models combining the k−ε model with a one-equation model near the wall” AIAA paper 91-0609.
Bogard,  D. G., Schmidt,  D. L., and Tabbtta,  M., 1998, “Characterization and laboratory simulation of turbine airfoil surface roughness and associated heat transfer,” ASME J. Turbomach., 120, pp. 337–342.
Raupauch,  M. R., Antonia,  R. A., and Rajagopalan,  S., 1991, “Rough-wall turbulent boundary layers,” Appl. Mech. Rev., 44, pp. 1–25.
Ligrani,  P. M., and Mo̸ffat,  R. J., 1986, “Structure of transitionally rough and fully rough turbulent boundary layers,” J. Fluid Mech., 162, pp. 69–98.
Kays, W. M., and Crawford, M. E., 1993, Convective Heat and Mass Transfer, 3rd ed., McGraw-Hill, NY.
Taylor,  R. P., Coleman,  H. W., and Hodge,  B. K., 1985, “Prediction of turbulent rough-wall skin friction using a discrete element approach,” ASME J. Fluids Eng., 107, pp. 251–257.
Wilcox, D. C., 1993, Turbulence Modeling for CFD, DCW inc.
Coleman, H. W., Moffat, R. J., and Kays, W. M., 1976, Momentum and energy transport in the accelerated fully rough turbulent boundary layer, Report HMT-24 , Dept. of Mech. Eng., Stanford University.
Kline, S. J., Morkovin, M. V., Sovran, G. and Cockrell, D. J., eds., 1968, Computation of Turbulent Boundary Layers, v. 1, AFOSR-IFP-Stanford conference.
DeGraaff,  D. B., and Eaton,  J. K., 2000, “Reynolds number scaling of the turbulent boundary layer on a flat plate and on swept and unswept bumps,” J. Fluid Mech., 422, pp. 319–386.
Mierlo,  M. C. L. M., and De Rytter,  J. C. C., 1988, “Turbulence measurements above artificial dunes,” Report, Q789, Delft Hydraulics Laboratory, Netherlands.
Patel,  V. C., and Yoon,  J. Y., 1995, “Application of turbulence models to separated flow over rough surfaces,” ASME J. Fluids Eng., 117, pp. 234–241.

Figures

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Computed log layers compared to data correlation
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Calibration curve for hydrodynamic roughness
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Rough wall in zero and favorable pressure gradients. Clockwise from upper left: kr=0,Kr=1.5×10−4,Kr=2.9×10−4,▴=r+/10,▪=St,•=Cf.
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Predicted effect of adverse pressure gradient on smooth and rough wall
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Ramp geometry for present experiment
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Profiles of U velocity component at various downstream positions. Experiment •, rough wall; ×, smooth wall. Computation –, rough wall; ----, smooth wall.
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Flow domain for sand dune test case. Dimensions are in mm. The lighter lines show streamlines of the separated flow over the roughened ramp.
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Friction coefficient on lower wall. □, experiment; –, present; -X--, k−ω; ⋯⋯⋅⋅, smooth wall.
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U-velocity profiles at stations 4, 7, and 14, proceeding clockwise from the upper left. Lines are computations, squares are experiment.
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V-velocity profiles at stations 4, 7, and 14. Lines are computations, squares are experiment.

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