The one-equation, eddy-viscosity transport model of Gulyaev, Kozlov, and Secundov, is modified and supplemented by an equation for the turbulence length scale. The advantages of the model developed here are demonstrated by computing a shear-free “boundary layer” on a flat plate, and the flow and heat transfer near the forward stagnation line of a circular cylinder. Both cases are known to be challenging for conventional turbulence models.
Issue Section:
Technical Papers
1.
Thomas
, N. H.
, and Hancock
, P. E.
, 1977
, “Grid Turbulence Near a Moving Wall
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Hunt
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, and Graham
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Perot
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, and Moin
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Aronson
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, and Lofdahl
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,” J. Fluid Mech.
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Gulyaev
, A.
, Kozlov
, V.
, and Secundov
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, “A Universal One-Equation Model for Turbulent Viscosity
,” Fluid Dyn.
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(translation from Russian).6.
Spalart, P. R., and Allmaras, S. R., 1994, “A One-Equation Turbulence Model for Aerodynamic Flows,” La Recherche Aerospatiale, No. 1, pp. 5–21.
7.
Secundov
, A. N.
, 1997
, “Turbulence Model for Description of Interaction between Boundary Layer and Large-Scale External Turbulence
,” Fluid Dyn.
, 32
, No. 2
, pp. 204
–211
(translation from Russian).8.
Hunt
, J. C. R.
, 1973
, “A Theory of Turbulent Flow Round Two-Dimensional Bluff Bodies
,” J. Fluid Mech.
, 61
, pp. 625
–706
.9.
Britter
, R. E.
, Hunt
, J. C. R.
, and Mumford
, J. C.
, 1979
, “The Distortion of Turbulence by a Circular Cylinder
,” J. Fluid Mech.
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, Part 2
, pp. 269
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Maslov, V. P., Mineev, B. I., Pichkov, K. N., Secundov, A. N., Vorobiev, A. N., Strelets, M. Kh., and Travin, A. K., 1999, “Effect of Free-Stream Turbulence Intensity and Length Scale on Heat Transfer at the Leading Edge of Turbine Blade,” ASME Paper 99-GT-423.
11.
Ashforth-Frost
, S.
, and Jambunathan
, K.
, 1996
, “Numerical prediction of semi-confined jet impingement and comparison with experimental data
,” Int. J. Numer. Methods Fluids
, 23
, pp. 295
–306
.12.
Behnia, M., Parneix, S., and Durbin, P. A., 1997, “Accurate modeling of impinging jet heat transfer,” Stanford/NASA Ames Center for Turbulence Research, Annual Research Briefs, pp. 149–164.
13.
Durbin
, P. A.
, 1995
, “Separated Flow Computations with the k-ε-ν′2 Model
,” AIAA J.
, 33
, No. 4
, pp. 659
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.14.
Launder
, B. E.
, and Li
, S. P.
, 1994
, “On the elimination of wall topography parameters from second-moment closure
,” Phys. Fluids
, 6
, pp. 999
–1006
.15.
Shur, M., Strelets, M., Zaikov, L., Gulyaev, A., Kozlov, V., and Secundov, A., 1995, “Comparative Numerical Testing of One- and Two-Equation Turbulence Models for Flows with Separation and Reattachment,” AIAA Paper, AIAA-95-0863 (note that in this paper the factor 0.1 in the roughness allowance, given after Eq. (3) of the present paper, was misprinted as 0.01).
16.
Vasiliev
, V. I.
, Volkov
, D. V.
, Zaitsev
, S. A.
, and Lyubimov
, D. A.
, 1997
, “Numerical Simulation of Channel Flows by a One-Equation Turbulence Model
,” ASME J. Fluids Eng.
, 119
, pp. 885
–892
.17.
Bardina, J. E., Huang, P. G., and Coakley, T. J., 1998, “Turbulence Modeling Validation, Testing and Development,” NASA Technical Memoranda No. 110446.
18.
Jones
, W. P.
, and Launder
, B. E.
, 1973
, “The Calculation of Low-Reynolds-Phenomena with Two-Equation Model of Turbulence
,” Int. J. Heat Mass Transf.
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, pp. 1119
–1130
.19.
Rogers
, S. E.
, and Kwak
, D.
, 1990
, “An Upwind Differencing Scheme for the Time-Accurate Incompressible Navier-Stokes Equations
,” AIAA J.
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, No. 2
, pp. 253
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.20.
Menter, F. R., 1993, “Zonal Two Equation k-ω Turbulence Models for Aerodynamic Flows,” AIAA Paper, AIAA 93-2906.
21.
Wang, H. P., Goldstein, R. J., and Olson, S. J., 1998, “Effect of High Free Stream Turbulence with Large Length Scale on Blade Heat/Mass Transfer,” ASME Paper 98-GT-107.
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by ASME
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