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Scaling of near-wall turbulence in pipe flow

Published online by Cambridge University Press:  13 April 2010

MARCUS HULTMARK
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
SEAN C. C. BAILEY
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
ALEXANDER J. SMITS
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Corresponding
E-mail address:

Abstract

New measurements of the streamwise component of the turbulence intensity in a fully developed pipe flow at Reynolds numbers up to 145 000 indicate that the magnitude of the near-wall peak is invariant with Reynolds number in location and magnitude. The results agree with previous pipe flow data that have sufficient spatial resolution to avoid spatial filtering effects, but stand in contrast to similar results obtained in boundary layers, where the magnitude of the peak displays a prominent Reynolds number dependence, although its position is fixed at the same location as in pipe flow. This indicates that the interaction between the inner and outer regions is different in pipe flows and boundary layers.

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Copyright © Cambridge University Press 2010

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References

Bailey, S. C. C., Hultmark, M., Smits, A. J. & Schultz, M. P. 2008 Azimuthal structure of turbulence in high Reynolds number pipe flow. J. Fluid Mech. 615, 121138.CrossRefGoogle Scholar
Bradshaw, P. 1967 Inactive motion and pressure fluctuations in turbulent boundary layers. J. Fluid Mech. 30, 241258.CrossRefGoogle Scholar
Chin, C. C., Hutchins, N., Ooi, A. S. H. & Marusic, I. 2009 Use of direct numerical simulation (DNS) data to investigate spatial resolution issues in measurements of wall-bounded turbulence. Meas. Sci. Technol. 20 (11), 115401.CrossRefGoogle Scholar
Durst, F., Jovanovic, J. & Sender, J. 1995 LDA measurements in the near-wall region of a turbulent pipe flow. J. Fluid Mech. 295, 305335.CrossRefGoogle Scholar
Eggels, J. G. M., Unger, F., Weiss, M. H., Westerweel, J., Adrian, R. J., Friedrich, R. & Nieuwstadt, F. T. M. 1994 Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment. J. Fluid Mech. 268, 175209.CrossRefGoogle Scholar
Fernholz, H. H., Krause, E., Nockemann, M. & Schober, M. 1995 Comparative measurements in the canonical boundary layer at Reδ2 ≤ 6 × 104 on the wall of the German–Dutch windtunnel. Phys. Fluids 7 (6), 12751281.CrossRefGoogle Scholar
Grosse, S. 2008 Development of the micro-pillar shear-stress sensor MPS3 for turbulent flows. PhD thesis, RWTH Aachen University.Google Scholar
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw Hill.Google Scholar
Hutchins, N. & Marusic, I. 2007 Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 128.CrossRefGoogle Scholar
Hutchins, N., Nickels, T. B., Marusic, I. & Chong, M. S. 2009 Hot-wire spatial resolution issues in wall-bounded turbulence. J. Fluid Mech. 635, 103136.CrossRefGoogle Scholar
Klewicki, J. C. & Falco, R. E. 1990 On accurately measuring statistics associated with small-scale structure in turbulent boundary layers using hot-wire probes. J. Fluid Mech. 219, 119142.CrossRefGoogle Scholar
Langelandsvik, L. I., Kunkel, G. J. & Smits, A. J. 2008 Flow in a commercial steel pipe. J. Fluid Mech. 595, 323339.CrossRefGoogle Scholar
Laufer, J. 1954 The structure of fully developed pipe flow. Tech. Rep. NACA 1174. National Advisory Committee for Aeronautics.Google Scholar
Lawn, C. J. 1971 The determination of the rate of dissipation in turbulent pipe flow. J. Fluid Mech. 48, 477505.CrossRefGoogle Scholar
Ligrani, P. M. & Bradshaw, P. 1987 a Spatial resolution and measurement of turbulence in the viscous sublayer using subminiature hot-wire probes. Exper. Fluids 5, 407417.CrossRefGoogle Scholar
Ligrani, P. M. & Bradshaw, P. 1987 b Subminiature hot-wire sensors: development and use. J. Phys. E: Sci. Instrum. 20, 323332.CrossRefGoogle Scholar
Marusic, I. & Kunkel, G. J. 2003 Streamwise turbulence intensity formulation for flat-plate boundary layers. Phys. Fluids 15 (8), 24612464.CrossRefGoogle Scholar
Marusic, I., McKeon, B. J., Monkewitz, P. A., Nagib, H. M., Smits, A. J. & Sreenivasan, K. R. 2010 Wall-bounded turbulent flows: recent advances and key issues. J. Fluid Mech. (in press).Google Scholar
Mathis, R., Monty, J. P., Hutchins, N. & Marusic, I. 2009 Comparison of large-scale amplitude modulation in turbulent boundary layers, pipes, and channel flows. Phys. Fluids 21 (11), 111703.CrossRefGoogle Scholar
McKeon, B. J., Li, J., Jiang, W, Morrison, J. F. & Smits, A. J. 2004 Further observations on the mean velocity in fully developed pipe flow. J. Fluid Mech. 501, 135147.CrossRefGoogle Scholar
Mochizuki, S. & Nieuwstadt, F. T. M. 1996 Reynolds-number-dependence of the maximum in the streamwise velocity fluctuations in wall turbulence. Exper. Fluids 21, 218226.CrossRefGoogle Scholar
Monty, J. P., Hutchins, N., Ng, H. C. H., Marusic, I. & Chong, M. S. 2009 A comparison of turbulent pipe, channel and boundary layer flows. J. Fluid Mech. 632, 431442.CrossRefGoogle Scholar
Monty, J. P, Stewart, J. A., Williams, R. C. & , S., Chong, M. 2007 Large-scale features in turbulent pipe and channel flows. J. Fluid Mech. 589, 147156.CrossRefGoogle Scholar
Morrison, J. F., McKeon, B. J., Jiang, W. & Smits, A. J. 2004 Scaling of the streamwise velocity component in turbulent pipe flow. J. Fluid Mech. 508, 99131.CrossRefGoogle Scholar
Morrison, W. R. B. & Kronauer, R. E. 1969 Structural similarity for fully developed turbulence in smooth tubes. J. Fluid Mech. 39, 117141.CrossRefGoogle Scholar
Perry, A. E. & Abell, C. J. 1975 Scaling laws for pipe-flow turbulence. J. Fluid Mech. 67, 257271.CrossRefGoogle Scholar
Sabot, J. & Comte-Bellot, G. 1976 Intermittency of coherent structures in the core region of fully developed turbulent pipe flow. J. Fluid Mech. 74, 767797.CrossRefGoogle Scholar
Schildknecht, M., Miller, J. A. & Meier, G. E. A. 1979 The influence of suction on the structure of turbulence in fully developed pipe flow. J. Fluid Mech. 90, 67107.CrossRefGoogle Scholar
den Toonder, J. M. J. & Nieuwstadt, F. T. M. 1997 Reynolds number effects in a turbulent pipe flow for low to moderate Re. Phys. Fluids 9 (11), 33983409.CrossRefGoogle Scholar
Townsend, A. A. 1961 Equilibrium layers and wall turbulence. J. Fluid Mech. 11, 97120.CrossRefGoogle Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow. Cambridge University Press.Google Scholar
Wu, X. & Moin, P. 2008 A direct numerical simulation study on the mean velocity characteristics in turbulent pipe flow. J. Fluid Mech. 608, 81112.CrossRefGoogle Scholar
Zagarola, M. V. & Smits, A. J. 1998 Mean-flow scaling of turbulent pipe flow. J. Fluid Mech. 373, 3379.CrossRefGoogle Scholar
Zagarola, M. V. 1996 Mean-flow scaling of turbulent pipe flow. PhD thesis, Princeton University, Princeton.Google Scholar
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