On nonlinear K-l and K-ε models of turbulence

Journal of Fluid Mechanics

Volumn 178, Issue , 1987, Pages 459-475

  Speziale, Charles G ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES - NONLINEAR EQUATIONS;

FLOW OF FLUIDS;

EID: 0023347576     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112087001319     Document Type: Article

References (28)

1. Chapman, S. & Cowling, T. G. 1953 The Mathematical Theory of Non-Uniform Gases. Cambridge University Press.
2. Chen, C. P. 1985 Multiple-scale turbulence closure modelling of confined recirculating flows. NASA CR 178536. NASA-Marshall Space Flight Center.
3. Deardorff, J. W. 1970 A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41, 453.
4. Gessner, F. B. & Emery, A. F. 1976 A Reynolds stress model for turbulent corner flows - Part I: Development of the model. Trans. ASME I: J. Fluids Engng 98, 261.
5. Gessner, F. B. & Jones, J. B. 1965 On some aspects of fully-developed turbulent flow in rectangular channels. J. Fluid Mech. 23, 689.
6. Gessner, F. B. & Po, J. K. 1977 A Reynolds stress model for turbulent corner flows - Part II: Comparisons between theory and experiment. Trans. ASME I: J. Fluids Engng 99, 269.
7. Hanjalic, K. & Launder, B. E. 1972 A Reynolds stress model of turbulence and its application to thin shear flows. J. Fluid Mech. 52, 609.
8. Hinze, J. O. 1975 Turbulence. McGraw-Hill.
9. Hussain, A. K. M. F. & Reynolds, W. C. 1975 Measurements in fully-developed turbulent channel flow. Trans. ASME I: J. Fluids Engng 97, 568.
10. Laufer, J. 1951 Investigation of turbulent flow in a two-dimensional channel. NACA TN 1053.
11. Launder, B. E., Reece, G. J. & Rodi, W. 1975 Progress in the development of a Reynolds stress turbulence closure. J. Fluid Mech. 68, 537.
12. Launder, B. E. & Ying, W. M. 1971 Fully developed turbulent flow in ducts of square cross section. Rep. TM/TN/A/11. Imperial College of Science and Technology
13. Lumley, J. L. 1970 Toward a turbulent constitutive relation. J. Fluid Mech. 41, 413.
14. Lumley, J. L. 1978 Computational modeling of turbulent flows. Adv. Appl. Mech. 18, 123.
15. Mellor, G. L. & Herring, H. J. 1973 A survey of the mean turbulent field closure models. AIAA J. 11, 590.
16. Moin, P. & Kim, J. 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341.
17. Rivlin, R. S. 1957 The relation between the flow of non-Newtonian fluids and turbulent Newtonian fluids. Q. Appl. Maths 15, 212.
18. Rodi, W. 1982 Example of turbulence models for incompressible flows. AIAA J. 20, 872.
19. Saffman, P. G. 1977 Results of a two-equation model for turbulent flows and development of a relaxation stress model for application to straining and rotating flows. In Project SQUID Workshop on Turbulence in Internal Flows (ed. S. Murthy), p. 191. Hemisphere.
20. Schowalter, W. R. 1978 Mechanics of Non-Newtonian Fluids. Pergamon.
21. Speziale, C. G. 1981 Some interesting properties of two-dimensional turbulence. Phys. Fluids 24, 1425.
22. Speziale, C. G. 1982 On turbulent secondary flows in pipes of non-circular cross-section. Intl J. Engng Sci. 20, 863.
23. Speziale, C. G. 1983 Closure models for rotating two-dimensional turbulence. Geophys. Astrophys. Fluid Dyn. 23, 69.
24. Speziale, C. G. 1984 On the origin of turbulent secondary flows in non-circular ducts. In Computation of Internal Flows: Methods and Applications, ASMS FED 14, p. 101. ASME.
25. Speziale, C. G. 1985 Modeling the pressure gradient-velocity correlation of turbulence. Phys. Fluids 28, 69.
26. Thangam, S. & Speziale, C. G. 1985 Numerical study of non-Newtonian secondary flows in rectangular ducts. Tech. Rep. ME-RT-85035. Stevens Institute of Technology.
27. Truesdell, C. & Noll, W. 1965 The nonlinear field theories of mechanics. In Handbuch der Physik, vol. 3, 3. Springer.
28. Yoshizawa, A. 1984 Statistical analysis of the deviation of the Reynolds stress from its eddy viscosity representation. Phys. Fluids 27, 1377.