A general strategy to extend turbulence models to rough surfaces: Application to Smith's k-L model

Journal of Fluids Engineering, Transactions of the ASME

Volumn 129, Issue 10, 2007, Pages 1245-1254

  Aupoix, B ^a  

^a Departement Environmement Spatial   (France)

Author keywords

Skin friction; Turbulence modeling; Wall roughness

Indexed keywords

BOUNDARY LAYERS; HYPERSONIC AERODYNAMICS; REYNOLDS NUMBER; SHOCK WAVES; SKIN FRICTION; SURFACE ROUGHNESS;

SAND GRAIN ROUGHNESS; SMITH'S K-L MODEL; WALL FRICTION; WALL ROUGHNESS;

TURBULENCE MODELS;

EID: 36049024158     PISSN: 00982202     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2776960     Document Type: Article

References (36)

1. Nikuradse, J., 1933, "Strömungsgesetze in rauhen Rohren," VDI-Forschungsheft, Technical Report, No. 361.
2. Patel, V. C., 1988, "Perspective: Flow at High Reynolds Number and Over Rough Surfaces - Achilles Heel of CFD," ASME J. Fluids Eng., 120, pp. 434-444.
3. Reijasse, P., Oswald, J., Aupoix, B., and Steinfeld, P., 1998, "Expert Evaluation of Ariane 502 Roll Causes," Third European Symposium on Aerothermodynamics for Space Vehicles, Noordwijk, The Netherlands.
4. Coleman, H. W., Hodge, B. K., and Taylor, R. P., 1983, "Generalized Roughness Effects on Turbulent Boundary Layer Heat Transfer - A Discrete Element Predictive Approach for Turbulent Flow over Rough Surfaces," Air Force Armament Laboratory, Mississippi State University, Report No. AFATL-TR-83-90.
5. Aupoix, B., 1994, "Modelling of Boundary Layers Over Rough Surfaces," Advances in Turbulence V, R. Benzi, ed., Kluwer Academic Press, Sienna, pp. 16-20.
6. Schlichting, H., 1936, "Experimentelle Untersuchungen zum Rauhigkeitsproblem," Ing.-Arch., 7(1), pp. 1-34.
7. Dirling, R. B., Jr., 1973, "A Method for Computing Rough Wall Heat Transfer Rates on Reentry Nosetips," AIAA Eigth Thermophysics Conference, Palm Springs, CA AIAA Paper No. 73-763.
8. Grabow, R. M., and White, C. O., 1975, "Surface Roughness Effects on Nosetip Ablation Characteristics," AIAA J., 13(5), pp. 605-609.
9. van Driest, E. R., 1956, "On Turbulent Flow Near a Wall," J. Aeronaut. Sci., 23(11), pp. 1007-1011.
10. Krogstad, P. Å., 1991, "Modification of the van Driest Damping Function to Include the Effects of Surface Roughness," AIAA J., 29(6), pp. 888-894.
11. Chen, H. C., and Patel, V. C., 1988, "Near-Wall Turbulence Models for Complex Flows Including Separation," AIAA J., 26(6), pp. 641-648.
12. Durbin, P. A., Medic, G., Seo, J. M., Eaton, J. K., and Song, S., 2001, "Rough Wall Modification of Two-Layer k-∈," ASME J. Fluids Eng., 123, pp. 16-21.
13. Wilcox, D. C., 1988, "Reassessment of the Scale-Determining Equation for Advanced Turbulence Models," AIAA J., 26(11), pp. 1299-1310.
14. Zhang, H., Faghri, M., and White, J. K., 1996, "A New Low-Reynolds Number k-∈ Model for Turbulent Flow Over Smooth and Rough Surfaces," ASME J. Fluids Eng., 118, pp. 255-259.
15. Rotta, J., 1962, "Turbulent Boundary Layers in Incompressible Flows," Prog. Aeronaut. Sci., 2, pp. 73-82.
16. Blanchard, A., 1977, "Analyse Expérimentale et Théorique de la Structure de la Turbulence d'une Couche Limite sur Paroi Rugueuse," Ph.D. thesis, Université de Poitiers U.E.R.-E.N.S.M.A.
17. Aupoix, B., and Spalart, P. R., 2003, "Extensions of the Spalart-Allmaras Turbulence Model to Account for Wall Roughness," Int. J. Heat Fluid Flow, 24, pp. 454-462.
18. Spalart, P. R., and Allmaras, S. R., 1992, "A One-Equation Turbulence Model for Aerodynamic Flows," 30th Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA Paper No. 92-0439.
19. Spalart, P. R., and Allmaras, S. R., 1994, "A One-Equation Turbulence Model for Aerodynamic Flows," Rech. Aerosp., 1, pp. 5-21.
20. Dipprey, D. F., and Sabersky, R. H., 1963, "Heat and Momentum Transfer in Smooth and Rough Tubes at Various Prandtl Numbers," Int. J. Heat Mass Transfer, 6, pp. 329-353.
21. Smith, B. R., 1990, "The k-kl Turbulence Model and Wall Layer Model for Compressible Flows," 21st Fluid and Plasma Dynamics Conference, Seattle, WA, AIAA Paper No. 90-1483.
22. Smith, B. R., 1995, "Prediction of Hypersonic Shock Wave Turbulent Boundary Layer Interactions with the k-l Two Equation Turbulence Model," 33rd Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA Paper No. 95-0232.
23. Prasad, R. O. S., and Hassan, H. A., 1998, "An Evaluation of the Two-Equation k-l Model for Simple Shear Flows," 36th Aerospace Science Meeting and Exhibit, Reno, NV, AIAA Paper No. 98-0321.
24. Ferrey, P., and Aupoix, B., 2006, "Behaviour of Turbulence Models Near a Turbulent/Non-Turbulent Interface," Int. J. Heat Fluid Flow, 27(5), pp. 831-837.
25. Smith, B. R., 1997, "A Non-Equilibrium Turbulent Viscosity Function for the k-l Two Equation Turbulence Model," 28th AIAA Fluid Dynamics Conference, Fourth Shear Flow Control Conference, Snowmass Village, CO, AIAA Paper No. 97-1959.
26. Aupoix, B., 1999, "Couches Limites Bidimensionnelles Compressibles. Descriptif et Mode d'Emploi du Code CLIC 2," DMAE, ONERA, Final Report No. R. F. 1/5620.02-1/5620.05.
27. Menter, F. R., 1994, "Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications," AIAA J., 32(8), pp. 1598-1605.
28. Scaggs, W. F., Taylor, R. P., and Coleman, H. W., 1988, "Measurement and Prediction of Rough Wall Effects on Friction Factor: Uniform Roughness Results," ASME J. Fluids Eng., 110, pp. 385-391.
29. 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.
30. Hosni, M. H., Coleman, H. W., and Taylor, R. P., 1989, "Measurements and Calculation of Surface Roughness Effects on Turbulent Flow and Heat Transfer," Thermal and Fluid Dynamics Laboratory, Mechanical and Nuclear Engineering Department, Mississippi State University, Technical Report No. TFD-89-1.
31. Hosni, M. H., Coleman, H. W., and Taylor, R. P., 1991, "Measurements and Calculations of Rough-Wall Heat Transfer in the Turbulent Boundary Layer," Int. J. Heat Mass Transfer 34(4/5), pp. 1067-1082.
32. Hosni, M. H., Coleman, H. W., Gardner, J. W., and Taylor, R. P., 1993, "Roughness Element Shape Effects on Heat Transfer and Skin Friction in Rough-Wall Turbulent Boundary Layer," Int. J. Heat Mass Transfer, 36(1), pp. 147-153.
33. Chakroun, W., 1992, "Experimental Investigation of the Effects of Acceleration on Flow and Heat Transfer in the Turbulent Rough-Wall Boundary Layer," Ph.D. thesis, Mississippi State University.
34. Chakroum, W., and Taylor, R. P., 1993, "Heat Transfer and Fluid Dynamics Measurements in Accelerated Rough-Wall Boundary Layer," ASME International Gas Turbine and Aeroengine Congress and Exposition, Cincinnati, OH.
35. Acharya, M., Bornstein, J., and Escudier, M. P., 1986, "Turbulent Boundary Layers on Rough Surfaces," Exp. Fluids, 4(1), pp. 33-47.
36. Tarada, F. H. A., 1987. "Heat Transfer to Rough Turbine Blading," Ph.D. thesis, University of Sussex.