Nonlinear eddy viscosity modelling for turbulence and heat transfer near wall and shear-free boundaries

International Journal of Heat and Fluid Flow

Volumn 21, Issue 1, 2000, Pages 37-48

  Suga, K ^a   Abe, K ^a  

^a Rd Management Section   (Japan)

Author keywords

Algebraic heat flux model; Free surface flow; Nonlinear eddy viscosity; Turbulence model; Wall bounded flow

Indexed keywords

HEAT FLUX; MATHEMATICAL MODELS; PRANDTL NUMBER; TURBULENCE; WALL FLOW;

FREE SURFACE FLOW; NONLINEAR EDDY VISCOSITY; WALL BOUNDED FLOW;

HEAT TRANSFER;

BOUNDARY LAYER; HEAT TRANSFER; TURBULENCE; WALL;

EID: 0034125469     PISSN: 0142727X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0142-727X(99)00060-0     Document Type: Article

References (44)

1. Abe K., Kondoh T., Nagano Y. A two-equation heat transfer model reflecting second-moment closures for wall and free turbulent flows. Int. J. Heat Fluid Flow. 17:1996;228-237.
2. Abe, K., Suga, K., 1998. Large eddy simulation of passive scalar fields under several strain conditions. Proc. Turbulent Heat Transfer 2, Manchester, 8.15-8.30.
3. Barakos, G., Drikakis, D., 1997. Validation of linear and non-linear low-Re turbulence models in shock/boundary layer interaction. In: Proceedings of the 11th Symposium on Turbulent Shear Flows. Grenoble, pp. 32.19-32.24.
4. Celik I., Rodi W. Simulation of free-surface effects in turbulent channel flows. Physicochem. Hydrodyn. 5:1984;217-227.
5. Chen W.L., Lien F.S., Leschziner M.A. Non-linear eddy viscosity modelling of transitional boundary layers pertinent to turbomachine aerodynamics. Int. J. Heat Fluid Flow. 19:1998a;297-306.
6. Chen W.L., Lien F.S., Leschziner M.A. Computational prediction of flow around highly loaded compressor-cascade blades with non-linear eddy viscosity models. Int. J. Heat Fluid Flow. 19:1998b;307-319.
7. Craft, T.J., Launder, B.E., 1991. Computation of impinging flows using second-moment closures. In: Proceedings of the Eighth Symposium on Turbulent Shear Flows, Munich, paper 8-5.
8. Craft T.J., Launder B.E. A Reynolds-stress closure designed for complex geometries. Int. J. Heat Fluid Flow. 17:1996;245-254.
9. Craft, T.J., Launder, B.E., Suga, K., 1993. Extending the applicability of eddy viscosity models through the use of deformation invariants and non-linear elements. In: Proceedings of the Fifth International Symposium on Refined Flow Modelling and Turbulence Measurements, Paris, pp. 125-132.
10. Craft, T.J., Launder, B.E., Suga, K., 1995. A non-linear eddy-viscosity model including sensitivity to stress anisotropy. In: Proceedings of the Tenth Symposium on Turbulent Shear Flows. Pennsylvania State University, pp. 23.19-23.24.
11. Craft T.J., Launder B.E., Suga K. Development and application of a cubic eddy-viscosity model of turbulence. Int. J. Heat Fluid Flow. 17:1996;108-115.
12. Craft T.J., Launder B.E., Suga K. Prediction of turbulent transitional phenomena with a nonlinear eddy-viscosity model. Int. J. Heat Fluid Flow. 18:1997;15-28.
13. Daly B.J., Harlow F.H. Transport equation in turbulence. Phys. Fluids. 13:1970;2634-2649.
14. Gatski T.B., Speziale C.G. On explicit algebraic stress models for complex turbulent flows. J. Fluid Mech. 254:1993;59-78.
15. Handler R.A., Swean T.F. Jr., Leighton R.I., Swearingen J.D. Length scales and the energy balance for turbulence near a free surface. AIAA J. 31:1993;1988-2007.
16. Horiuti K. Higher-order terms in the anisotropic representation of Reynolds stresses. Phys. Fluids A. 2:1990;1708-1710.
17. Horiuti, K., 1993. Scalar transport in a fully developed 2-D channel flow. In: Kasagi, N. (Ed.), Establishment of the Direct Numerical Simulation Data Bases of Turbulent Transport Phenomena - DNS Database revised in 1993. Mech. Eng. Univ. of Tokyo, Japan.
18. Kader B.A. Temperature and concentration profiles in fully turbulent boundary layers. Int. J. Heat Mass Transfer. 24:1981;1541-1544.
19. Kasagi, N., Ohtsubo, Y., 1993. Direct numerical simulation of low Prandtl number thermal fluid in a turbulent channel flow. In: Durst, F. et al. (Eds.), Turbulent Shear Flows, vol. 8. Springer, Berlin, pp. 97-119.
20. Kim, J., 1990. In: Bradshaw, P. et al. (Eds.), 1990. The Collaborative Testing of Turbulence Models. Data disk No. 4.
21. Kim, J., Moin, P., 1989. Transport of passive scalars in a turbulent channel flow. In: Andre, J.-C. et al. (Eds.), Turbulent Shear Flows, vol. 6. Springer, Berlin, pp. 85-96.
22. Kim J., Moin P., Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177:1987;133-166.
23. Kuroda, A., Kasagi, N., Hirata, M., 1995. Direct numerical simulation of turbulent plane Couette-Poiseuille flows: effect of mean shear rate on the near wall turbulence structures. In: Durst, F. et al. (Eds.), Turbulent Shear Flows, vol. 9. Springer, Berlin, pp. 241-257.
24. Launder, B.E., 1975. On the effects of a gravitational field on the turbulent transport of heat and momentum. J. Fluid Mech. 67, 569-581.
25. Launder, B.E., 1976. Heat and mass transport. In: Bradshaw, P. (Ed.), Topics in Applied Physics, vol. 12. Turbulence. Springer, Berlin, pp. 231-287.
26. Launder B.E. On the computation of convective heat transfer in complex turbulent flows. ASME J. Heat Transfer. 110:1988;1112-1128.
27. Launder B.E., Reynolds W.C. Asymptotic near-wall stress dissipation rates in a turbulent flow. Phys. Fluids. 26:1983;1157-1158.
28. Launder, B.E., Tselepidakis, D.P., 1993. Contribution to the modelling of near-wall turbulence. In: Durst F. et al. (Eds.), Turbulent Shear Flows, vol 8. Springer, Berlin, pp. 81-96.
29. Leschziner, M.A., 1982. An introduction and guide to PASSABLE. UMIST Mech. Eng. Rep. TF/82/11.
30. Lombardi P., DeAngelis V., Banerjee S. Direct numerical simulation of near-interface turbulence in coupled gas-liquid flow. Phys. Fluids. 8:1996;1643-1665.
31. Lumley J.L. Computational modeling of turbulent flows. Adv. Appl. Mech. 18:1978;123-176.
32. Myong H.K., Kasagi N. Prediction of anisotropy of the near wall turbulence with an anisotropic low-Reynolds number. k - ε turbulence model ASME J. Fluid Eng. 112:1990;521-524.
33. Neumann J.C. Transfert de chaleur en régime turbulent pour les grands nombres de Prandtl. Inform. Aéraul. et Therm. 5:1968;4-20.
34. Nezu I., Rodi W. Open-channel flow measurements with a laser-Doppler anemometer. J. Hydraulic Engng. 112:1986;335-355.
35. Nisizima S., Yoshizawa A. Turbulent channel and couette flows using an anisotropic. k-ε AIAA J. 25:1987;414-420.
36. Pope S. A more general effective-viscosity hypothesis. J. Fluid Mech. 72:1975;331-340.
37. Pope S. Consistent modelling of scalars in turbulent flows. Phys. Fluids. 26:1983;404-408.
38. Rhee G.H., Sung H.J. A low-Reynolds-number, four-equation heat transfer model for turbulent separated and reattaching flows. Int. J. Heat Fluid Flow. 18:1997;38-44.
39. Rodi, W., 1980. Turbulence models and their application in hydraulics. International Association of Hydraulic Research Delft (1993 third ed. Balkema Rotterdam).
40. Rogers M.M., Mansour N.N., Reynolds W.C. An algebraic model for the turbulent flux of a passive scalar. J. Fluid Mech. 203:1989;77-101.
41. Rubinstein R., Barton J.M. Non-linear Reynolds stress models and renormalization group. Phys. Fluids A. 2:1990;1472-1476.
42. So R.M.C., Sommer T.P. An explicit algebraic heat-flux model for the temperature field. Int. J. Heat Mass Transfer. 39:1995;455-465.
43. Speziale C.G. On nonlinear. k-l and k-ε models of turbulence J. Fluid Mech. 178:1987;459-475.
44. Suga K. Development and application of a non-linear eddy viscosity model sensitized to stress and strain invariants. 1995;Ph.D. thesis, UMIST, Manchester, UK.