Inner scaling for wall-bounded flows subject to large pressure gradients

Journal of Fluid Mechanics

Volumn 521, Issue , 2004, Pages 217-239

  Nickels, T B ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

PRESSURE; REYNOLDS NUMBER; STRESSES; TURBULENT FLOW; VELOCITY MEASUREMENT;

MEAN VELOCITY; PRESSURE GRADIENTS; REYNOLDS STRESSES;

WALL FLOW;

NEAR-WALL FLOW; PRESSURE GRADIENT; REYNOLDS STRESS; TURBULENT FLOW;

EID: 12144251196     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004001788     Document Type: Article

References (28)

1. Barenblatt, G. I. 1996 Scaling, Self Similarity and Intermediate Asymptotics. Cambridge University Press.
2. Buschmann, M. H. & Gad-el-Hak, M. 2003 Debate concerning the mean-velocity profile of a turbulent boundary layer. AIAA J. 41 565-572.
3. Clauser, F. H. 1956 The turbulent boundary layer. Adv. Appl. Mech. 4, 1-51.
4. Coles, D. E. 1956 The law of the wake in the turbulent boundary layer. J. Fluid Mech. 1, 191-226.
5. Eggels, J., Unger, F., Weiss, M. H., Westerweel, J., Adrian, R. J., Freidrich, R. & Nieuwstadt, F. T. M. 1994 Fully developed pipe-flow: A comparison between direct numerical simulation and experiment. J. Fluid Mech. 268, 175-207.
6. Fernholz, H. H. & Warnack, D. 1998 The effects of a favorable pressure gradient and of the Reynolds number on an incompressible axisymmetric boundary layer. Part 1. The turbulent boundary layer. J. Fluid Mech. 359, 357-381.
7. George, W. K. & Castillo, L. 1997 Zero-pressure-gradient turbulent boundary layer. Appl. Mech. Rev. 50, No. 12, pt 1, 689-729.
8. Huffman, G. D. & Bradshaw, P. 1972 A note on von Kármá n's constant in low Reynolds number turbulent flows. J. Fluid Mech. 53, 45-60.
9. Kuroda, A., Kasagi, K. & Hirata, M. 1990 Investigation of dynamic effects of the mean shear rate on the wall turbulence via direct numerical simulation. Proc. 27th Natl Heat Transpr Symp. of Japan, vol. 1, pp. 46-48.
10. Lewkowicz, A. K. 1982 An improved universal wake function for turbulent boundary layers and some of its consequences. Z. Flugwiss. Weltraumforsch. 6, 261-266.
11. Loulou, P., Moser, R., Mansour, N. & Cantwell, B. 1997 Direct simulation of incompressible pipe flow using a b-spline spectral method. NASA Tech. Rep. TM 110436.
12. Millikan, C. B. 1938 A critical discussion of turbalent flows in channels and circular tubes. In Proc. 5th Intl Congress for App. Mech. (ed. J. P. den Hartog & H. Peters), pp. 386-392. Wiley /Chapman & Hall.
13. Nagano, Y., Tagawa, M. & Tsuji, T. 1991 Effects of adverse pressure gradients on mean flows and turbulence statistics in a boundary layer. Proc. 8th Symp. on Turb. Shear Flows, pp. 7-20. Springer.
14. Ohtsuka, A., Iida, O., Tsuji, T. & Nagano, Y. 1995 The mechanism of retransition in wall turbulence. Proc. 9th Symp on Computational Fluid Dynamics, pp. 499-500.
15. Österlund, J. M. 1999 Experimental studies of zero pressure-gradient turbulent boundary layer flow. PhD thesis, Department of Mechanics, Royal Institute of Technology, Stockholm.
16. Österlund, J. M., Johansson, A. V., Nagib, H. M. & Hites, M. H. 2000 A note on the overlap region in turbulent boundary layers. Phys. Fluids 12, 1-4.
17. Reichardt, H. 1951 Vollstandige darstellung der turbulenten geschwindigkeitsverteilung in glatten leitungen. Z. Angew. Math. Mech. 31, 208-219.
18. Skote, M., Henkes, R. A. W. M. & Henningson, D. S. 1998 Direct simulation of self-similar turbulent boundary layers in adverse pressure gradients. Flow, Turbulence Combust. 60, 47-85.
19. Spalart, P. R. 1986 Numerical study of sink flow boundary layers. J. Fluid Mech. 172, 307-328.
20. θ = 1410. J. Fluid Mech. 187, 61-98.
21. Spalart, P. R. & Watmuff, J. H. 1993 Experimental and numerical study of a turbulent boundary layers with pressure gradients. J. Fluid Mech. 249, 337-371.
22. Stratford, B. 1959 The prediction of separation of the turbulent boundary layer. J. Fluid Mech. 5, 1-16.
23. Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. The MIT Press.
24. Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
25. Townsend, A. A. 1976 The Structure of Turbulent Shear Flow, 2nd Edn. Cambridge University Press.
26. Van Driest, E. R. 1956 On turbulent flow near a wall. J. Aerosp. Sci 23, 1007-1012.
27. Van Driest, E. R. & Blumer, C. B. 1963 Boundary layer transition, free-stream turbulence and pressure gradient effects. AIAA J. 1 1303-1306.
28. Wosnik, M., Castillo, L. & George, W. 2000 A theory for turbulent pipe and channel flows. J. Fluid Mech. 421, 115-145.