The rough favourable pressure gradient turbulent boundary layer

Journal of Fluid Mechanics

Volumn 641, Issue , 2009, Pages 129-155

  Cal, Ral Bayon ^a   Brzek, Brian ^b   Johansson, T Gunnar ^c   Castillo, Luciano ^b  

^a Portland State University   (United States)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

^c CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Boundary layers

Indexed keywords

BOUNDARY LAYER FLOW; BOUNDARY LAYERS; BUOYANCY; FRICTION; LASER DOPPLER VELOCIMETERS; PRESSURE GRADIENT; REYNOLDS NUMBER; SHEAR STRESS; SURFACE MEASUREMENT; SURFACE ROUGHNESS; TURBULENCE; TURBULENT FLOW; VELOCITY;

BOUNDARY LAYER EQUATIONS; COHERENT STRUCTURE; FAVOURABLE PRESSURE GRADIENTS; FREE-STREAM VELOCITY; LASER DOPPLER ANEMOMETRY; SKIN FRICTION COEFFICIENT; TURBULENT BOUNDARY LAYERS; ZERO PRESSURE GRADIENT;

ATMOSPHERIC THERMODYNAMICS;

BOUNDARY LAYER; DOPPLER LIDAR; PRESSURE GRADIENT; REYNOLDS NUMBER; ROUGHNESS; SHEAR STRESS; TURBULENT FLOW; VELOCITY PROFILE;

EID: 76349085403     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009991352     Document Type: Article

References (61)

1. Akinlade, O. G., Bergstrom, D. J., Tachie, M. F. & Castillo, L. 2004 Outer flow scaling of smooth and rough wall turbulent boundary layers. Exp. Fluids 37, 604-612. (Pubitemid 39418371)
2. Bakken, O. M., Krogstad, P.-°A., Ashrafian, A. & Andersson, H. 2005 Reynolds number effects in the outer layer of the turbulent flow in a channel with rough walls. Phys. Fluids 17, 065101.
3. Bergstrom, D. J., Kotey, N. A. & Tachie, M. F. 2002 The effects of surface roughness on the mean velocity profile in a turbulent boundary layer. ASME Trans. J. Fluids Engng 124, 664-670.
4. Bradshaw, P. 2000 A note on 'critical roughness height' and 'transitional roughness'. Phys. Fluids 12, 1611.
5. Brzek, B., Cal, R. B., Johansson, T. G. & Castillo, L. 2007 Inner and outer scalings in rough surface zero pressure gradient turbulent boundary layers. Phys. Fluids 19, 065101.
6. Brzek, B., Cal, R. B., Johansson, T. G. & Castillo, L. 2008 Transitionally rough zero pressure gradient turbulent boundary layers. Exp. Fluids 44 (1), 115-124.
7. Cal, R. B. 2006 The favourable pressure gradient turbulent boundary layer. PhD dissertation, Rensselaer Polytechnic Institute, Troy, NY.
8. Cal, R. B., Brzek, B., Johansson, T. G. & Castillo, L. 2008 Influence of external conditions on transitionally rough favourable pressure gradient turbulent boundary layers. J. Turbul. 9 (38), 1-22.
9. Cal, R. B. & Castillo, L. 2008 Similarity analysis on favourable pressure gradient turbulent boundary layers with eventual quasilaminarization. Phys. Fluids 20, 105106.
10. Cal, R. B., Johansson, T. G. & Castillo, L. 2006 The effects of upstream conditions on turbulent boundary layers subject to favourable pressure gradients. AIAA J. 44 (11), 2488-2499. (Pubitemid 44788043)
11. Castillo, L. 1997 Similarity analysis of turbulent boundary layers. Ph.D. dissertation, State University of New York, Buffalo, NY.
12. Castillo, L. & George, W. K. 2001 Similarity analysis for turbulent boundary layer with pressure gradient: outer flow. AIAA J. 39 (1), 41-47.
13. Castillo, L. & Johansson, T. G. 2002 The effects of the upstream conditions on a low Reynolds number turbulent boundary layer with zero pressure gradient. J. Turbul. 3, 031.
14. Castillo, L., Seo, J., Hangan, H. & Johansson, T. G. 2004a Smooth and rough turbulent boundary layers at high Reynolds number. Exp. Fluids 36, 759-774. (Pubitemid 38644211)
15. Castillo, L. & Walker, D. 2002 The effects of the upstream conditions on turbulent boundary layers. AIAA J. 40 (12), 2540-2542.
16. Castro, I. 2007 Rough-wall boundary layers: mean flow universality. J. Fluid Mech. 585, 469-485.
17. Clauser, F. H. 1954 Turbulent boundary layers in adverse pressure gradients. J. Aeronaut. Sci. 21, 91-108.
18. Coleman, H. W., Moffat, R. J. & Kays, W. M. 1977 The accelerated fully rough turbulent boundary layer. J. Fluid Mech. 82, 507-528.
19. Coles, D. E. 1962 The turbulent boundary layers in a compressible fluid. Tech. Rep. USAF RAND Corp. Rept. R-403-PR.
20. (See also: (1964) Phys. Fluids 7: 1403-1423).
21. Degraff, D. & Eaton, J. 2000 Reynolds-number scaling of the flat plate turbulent boundary layer. J. Fluid Mech. 422, 319-346.
22. Fernholz, H. H. & Warnack, D. 1998 The effects of a favourable pressure gradient and of the Reynolds number on an incompressible axissymmetric turbulent boundary layer. Part 1. The turbulent boundary layer. J. Fluid Mech. 359, 329-356. (Pubitemid 128488576)
23. Flack, K. A., Schultz, M. P. & Connelly, J. S. 2007 Examination of a critical roughness height for boundary layer similarity. Phys. Fluids 19, 095104.
24. Flack, K. A., Schultz, M. P. & Shapiro, T. A. 2005 Experimental support for Townsend's Reynolds number similarity hypothesis on rough walls. Phys. Fluids 17, 035102.
25. George, W. K. 1994 Some new ideas for similarity of turbulent shear flows. In Turbulence, Heat and Mass Transfer I, (ed. K. Hanjalic & J. C. F. Pereira), pp. 13-24, Begell House, NY (ISBN 1-56700-040-1).
26. George, W. K. & Castillo, L. 1997 Zero-pressure gradient turbulent boundary layer. Appl. Mech. Rev. 50 (11, 1), 689-729.
27. Herring, H. J. & Norbury, J. F. 1966 Some experiments on equilibrium turbulent boundary layers in favourable pressure gradients. J. Fluid Mech. 27, 541-549.
28. Ichimiya, M., Nakamura, I. & Yamashita, S. 1998 Properties of a relaminarizing turbulent boundary layer under a favourable pressure gradient. Exp. Therm. Fluid Sci. 17, 37-48.
29. Jiménez, J. 2004 Turbulent flows over rough walls. Annu. Rev. Fluid Mech. 36, 173-196.
30. Jiménez, J. & Hoyas, S. 2008 Turbulent fluctuations above the buffer layer of wall-bounded flows. J. Fluid Mech. 611, 215-236.
31. Jones, M. B., Marusic, I. & Perry, A. E. 2001 Evolution and structure of sink-flow turbulent boundary layers. J. Fluid Mech. 428, 1-27.
32. Karlsson, R. I. 1980 Studies of skin friction in turbulent boundary layers on smooth and rough walls. PhD thesis, Chalmers University of Technology, Göteborg, Sweden.
33. Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741-773
34. Krogstad, P.-A. & Antonia, R. A. 1994 Structure of turbulent boundary layers on smooth and rough walls. J. Fluid Mech. 277, 1-21
35. Krogstad, P.-A. & Antonia, R. A. 1999 Surface roughness effects in turbulent boundary layers. Exp. Fluids 27, 450-460.
36. Krogstad, P.-A., Antonia, R. A. & Browne, L. W. B. 1992 Comparison between rough-and smooth-wall turbulent boundary layers. J. Fluid Mech. 245, 599-617.
37. Launder, B. E. 1964 Laminarization of the turbulent boundary layer in a severe acceleration. Tech. Rep. Rep. 77. MIT Gas Turbine Lab. Cambridge, MA, USA.
38. Leonardi, S., Orlandi, P., Smalley, R. J., Djenidi, L. & Antonia, R. A. 2003 Direct numerical simulations of turbulent channel flow with transverse square bars on one wall. J. Fluid Mech. 491, 229-238. (Pubitemid 37269166)
39. Ligrani, P. M. & Moffat, R. J. 1986 Structure of transitionally rough and fully rough turbulent boundary layers. J. Fluid Mech. 162, 69-98.
40. Ludweig, H. & Tillman, W. 1950 Investigations of the wall shearing stress in turbulent boundary layers. Tech. Rep. TM 1285. NACA
41. Morrison, J., McKeon, B., Jiang, W. & Smits, A. 2004 Scaling of the streamwise velocity component in turbulent pipe flow. J. Fluid Mech. 508, 99-131.
42. Mukund, R., Viswanath, P. R., Narasimha, R., Prabhu, A. & Crouch, J. D. 2006 Relaminarization in highly favourable pressure gradient on a convex surface. J. Fluid Mech. 566, 97-115.
43. Narasimha, R. & Sreenivasan, K. R. 1973 Relaminarization in highly accelerated turbulent boundary layers. J. Fluid Mech. 61, 417-447.
44. Newhall, K., Cal, R. B., Brzek, B., Johansson, T. G. & Castillo, L. 2006 Determination of skin friction on smooth and rough turbulent boundary layers subject to external favourable pressure gradients. In ASME Joint U.S.-European Fluids Engineering Conference, FEDSM-2006-98517, Miami, FL.
45. Nickels, T. B. 2004 Inner scaling for wall-bounded flows subject to large pressure gradients. J. Fluid Mech. 521, 217-239.
46. Nikuradse, J. 1933 Laws of Flows in rough pipes, NACA Technical memorandum 1292.
47. Osterlund, J. 1999 Experimental studies of zero pressure-gradient turbulent boundary layer flow. PhD thesis, Royal Institute of Technology, Stockholm, Sweden.
48. Patel, V. C. & Head, M. R. 1968 Reversion of turbulent to laminar flow. J. Fluid Mech. 23, 185-208.
49. Perry, A. E. & Li, J. D. 1990 Experimental support for the attached-eddy hypothesis in zero-pressure gradient turbulent boundary layers. J. Fluid Mech. 218, 405-438.
50. Piomelli, U., Balaras, E. & Pascarelli, A. 2000 Turbulent structures in accelerating boundary layers. J. Turbul. 1, 001.
51. Radhakrishnana, S., Keating, A. & Piomelli, U. 2006 Large eddy simulations of high Reynolds number flow over a contoured ramp. In AIAA-2006-0899, 44th AIAA Aerospace Science Meeting and Exhibit, Reno, NV.
52. Raupach, M. R., Antonia, R. A., & Rajagopalan, S. 1991 Rough-wall turbulent boundary layer. Appl. Mech. Rev. 44, 1-25.
53. Schultz, M. P. 2002 The relationship between frictional resistance and roughness for surfaces smoothened by sanding. ASME J. Fluids Engng 124, 492-499.
54. Schultz, M. P. & Flack, K. A. 2005 Outer layer similarity in fully rough turbulent boundary layer. Exp. Fluids 38, 324-340.
55. Seo, J. 2003 Investigation of the upstream conditions and surface roughness in turbulent boundary layers. PhD dissertation, Rensselaer Polytechnic Institute, Troy, NY.
56. Shafi, H. S. & Antonia, R. A. 1995 Anisotropy of the Reynolds stresses in a turbulent boundary layer on a rough wall. Exp. Fluids 18, 213-215.
57. Sreenivasan, K. R. 1982 Laminarescent, relaminarizing and retransitional flows. Acta Mech. 44, 1-48.
58. Tachie, M. F., Bergstrom, D. J. & Balachandar, R. 2000 Rough wall turbulent boundary layers in shallow open channel flow. J. Fluids Engng 122, 533-541.
59. Townsend, A. A. 1956 The Structure of Turbulent Shear Flows. Cambridge University Press.
60. Warnack, D. & Fernholz, H. H. 1998 The effects of a favourable pressure gradient and of the Reynolds number on an incompressible axissymmetric turbulent boundary layer. Part 2. The boundary layer with relaminarization. J. Fluid Mech. 359, 357-381. (Pubitemid 128488577)
61. Zagarola, M. V. & Smits, A. J. 1998 Mean-flow scaling of turbulent pipe flow. J. Fluid Mech. 373, 33-79.