A theory for the streamwise turbulent fluctuations in high Reynolds number pipe flow

Journal of Fluid Mechanics

Volumn 707, Issue , 2012, Pages 575-584

  Hultmark, Marcus ^a,b  

^a Princeton University   (United States)

^b EPFL   (Switzerland)

Author keywords

Shear layer turbulence; turbulence theory; turbulent flows

Indexed keywords

PIPE FLOW; REYNOLDS NUMBER; TURBULENCE; TURBULENT FLOW;

FINITE REYNOLDS NUMBER; HIGH REYNOLDS NUMBER; MEAN VELOCITIES; SHEAR LAYER; THEORETICAL DERIVATIONS; TURBULENCE FLUCTUATIONS; TURBULENCE THEORY; TURBULENT FLUCTUATION;

SHEAR FLOW;

PIPE FLOW; REYNOLDS NUMBER; THEORETICAL STUDY; TURBULENT FLOW; VISCOSITY;

EID: 84866065840     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.307     Document Type: Article

References (24)

1. BAILEY, S. C. C, KUNKEL, G. J., HULTMARK, M., VALLIKIVI, M., HILL, J. P., MEYER, K. A., TSAY, C, ARNOLD, C. B. & SMITS, A. J. 2010 Turbulence measurements using a nanoscale thermal anemometry probe. J. Fluid Meek 663, 160-179.
2. CASTILLO, L. 1997 Similarity analysis of turbulent boundary layers. PhD thesis, State University of New York at Buffalo.
3. FRISCH, U. & ORSZAG, S. A. 1990 Turbulence: challenges for theory and experiment. Phys. Today 43 (1), 24-32.
4. GEORGE, W. K. 1988 Another look at the log (or is it a power law?) velocity profile for a zero-pressure gradient boundary layer. Bull. Am. Phys. Soc. 33 (10), 2301.
5. GEORGE, W. K. 2007 Is there a universal log law for turbulent wall-bounded flows?. Phil. Trans. R. Soc. Lond. A 365, 789-806.
6. GEORGE, W. K. & CASTILLO, L. 1997 Zero-pressure-gradient turbulent boundary layer. Appl. Meek Rev. 50, 689-729.
7. HULTMARK, M. N., BAILEY, S. C. C. & SMITS, A. J. 2010 Scaling of near-wall turbulence in pipe flow. J. Fluid Meek 649, 103-113.
8. HULTMARK, M., VALLIKIVI, M., BAILEY, S. C. C. & SMITS, A. J. 2012 Turbulent pipe flow at extreme Reynolds numbers. Phys. Rev. Lett. 108, 094501.
9. HUTCHINS, N., NICKELS, T. B., MARUSIC, I. & CHONG, M. S. 2009 Hot-wire spatial resolution issues in wall-bounded turbulence. J. Fluid Meek 635, 103-136.
10. MCKEON, B. J., LI, J., JIANG, W., MORRISON, J. F. & SMITS, A. J. 2004 Further observations on the mean velocity distribution in fully developed pipe flow. J. Fluid Meek 501, 135-147.
11. MILLIKAN, C. B. 1939 A critical discussion of turbulent flows in channels and circular tubes. In Proceedings of the Fifth International Congress of Applied Mechanics. Cambridge, MA.
12. MORRISON, J. F., MCKEON, B. J., JIANG, W. & SMITS, A. J. 2004 Scaling of the streamwise velocity component in turbulent pipe flow. J. Fluid Meek 508, 99-131.
13. PERRY, A. E., HENBEST, S. M. & CHONG, M. S. 1986 A theoretical and experimental study of wall turbulence. J. Fluid Mech. 165, 163-199.
14. SMITS, A. J. (ED.) 1991 Proceedings of the Princeton Workshop on New Approaches to Experimental Turbulence Research. Princeton, NJ.
15. SMITS, A. J., MONTY, J., HULTMARK, M., BAILEY, S. C. C., HUTCHINS, M. & MARUSIC, I. 2011 Spatial resolution correction for turbulence measurements. J. Fluid Mech. 676, 41-53.
16. SQUIRE, H. B. 1948 I. reconsideration of the theory of free turbulence. Phil. Mag. (7) 39 (288), 1-20.
17. STANTON, T. E. & PANNELL, F. R. S. 1914 Similarity of motion in relation to the surface friction of fluids. Phil. Trans. R. Soc. Lond. A 214, 199-212.
18. TOWNSEND, A. A. 1976 The Structure of Turbulent Shear Flow. Cambridge University Press.
19. VALLIKIVI, M., HULTMARK, M., BAILEY, S. C. C. & SMITS, A. J. 2011 Turbulence measurements in pipe flow using a nano-scale thermal anemometry probe. Exp. Fluids 51, 1521-1527.
20. WOSNIK, M. 2000 On wall-bounded turbulent shear flows. PhD thesis, State University of New York at Buffalo.
21. WOSNIK, M., CASTILLO, L. & GEORGE, W. K. 2000 A theory for turbulent pipe and channel flows. J. Fluid Mech. 421, 115-145.
22. ZAGAROLA, M. V. 1996 Mean-flow scaling of turbulent pipe flow. PhD thesis, Princeton University.
23. ZAGAROLA, M. V. & SMITS, A. J. 1997 Log laws or power laws: the scaling in the overlap region. Phys. Fluids 9, 2094.
24. ZAGAROLA, M. V. & SMITS, A. J. 1998 Mean-flow scaling of turbulent pipe flow. J. Fluid Mech. 373, 33-79.