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The production of turbulence near a smooth wall in a turbulent boundary layer

Published online by Cambridge University Press:  29 March 2006

H. T. Kim
Affiliation:
Stanford University, California, U.S.A. Present address: APED Department, General Electric Co., San Jose, California.
S. J. Kline
Affiliation:
Stanford University, California, U.S.A.
W. C. Reynolds
Affiliation:
Stanford University, California, U.S.A.

Abstract

The structure of the flat plate incompressible smooth-surface boundary layer in a low-speed water flow is examined using hydrogen-bubble measurements and also hot-wire measurements with dye visualization. Particular emphasis is placed on the details of the process of turbulence production near the wall. In the zone 0 < y+ < 100, the data show that essentially all turbulence production occurs during intermittent ‘bursting’ periods. ‘Bursts’ are described in some detail.

The uncertainties in the bubble data are large, but they have the distinct advantage of providing velocity profiles as a function of time and the time sequences of events. These data show that the velocity profiles during bursting periods assume a shape which is qualitatively distinct from the well-known mean profiles. The observations are also used as the basis for a discussion of possible appropriate mathematical models for turbulence production.

Type
Research Article
Copyright
© 1971 Cambridge University Press

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References

Bakewell, H. P. & Lumley, J. L. 1967 Phys. Fluids, 10, 1880.
Black, T. J. 1966 Proc. Heat Transfer and Fluid Mechanics Institute. Stanford University Press.
Clark, J. A. 1968 Trans. ASME, J. Basic Engng. 90, 455.
Coantic, M. 1967 Proc. 4th EUROMECH. Colloq., Southampton.
Corino, E. R. & Brodkey, R. S. 1969 J. Fluid Mech. 37, 1.
Emmons, H. W. 1951 J. Aero. Science, 18, 490.
Gupta, A. K. 1970 Dissertation University Southern California.
Hussain, A. K. M. F. & Reynolds, W. C. 1970 Report FM-6, Department of Mechanical Engineering, Stanford University.
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1968a Report MD-20, Department of Mechanical Engineering, Stanford University.
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1968b ASME-ESL motion picture film, K5. Obtainable for purchase or rent from Engineering Societies Library, 345 East 47th Street, New York, N.Y. 10017.
Klebanoff, P. S. 1956 NACA TN-2178 or Report 1247.
Kline, S. J. 1963 Flow Visualization. 16 mm movie available from Eycyclopaedia Britannica Educational Corp., 425 North Michigan Avenue, Chicago, Ill. 60611.
Kline, S. J. 1967 Phys. Fluids, Suppl. Kyoto Symp.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 J. Fluid Mech. 30, 741.
Kline, S. J. & Runstadler, P. W. 1959 J. Appl. Mech. Trans. ASME, 26, no. 2, 166.
Lahey, R. T. & Kline, S. J. 1971 Report MD-26, Department of Mechanical Engineering, Stanford University.
Landahl, M. 1967 J. Fluid Mech. 29, 441.
Laufer, J. 1954 NACA Report 1174 or TN-2954.
Liu, C. K., Kline, S. J. & Johnston, J. P. 1966 Report MD-15, Department of Mechanical Engineering, Stanford University.
Meyer, K. A. & Kline, S. J. (1962) A Visual Study of the Flow Model in the Later Stages of Laminar-Turbulent Transition on a Flat Plate. Report MD-7, Department of Mechanical Engineering, Stanford University.
Phillips, O. M. 1967 J. Fluid Mech. 27, 131.
Rao, K. N., Narasimha, R. & Badri Narayanan, M. A. 1969 Report 69 FM 8, Department of Aeronautical Engineering, Indian Institute of Science, Bangalore.
Rao, K. N., Narasimha, R. & Badri Narayanan, M. A. 1971 J. Fluid Mech. 48, 339.
Runstadler, P. W., Kline, S. J. & Reynolds, W. C. 1963 An Experimental Investigation of the Flow Structure of the Turbulent Boundary Layer. Report MD-8, Department of Mechanical Engineering, Stanford University.
Sabin, C. M. 1963 Report MD-9, Department of Mechanical Engineering, Department of Mechanical Engineering, Stanford University.
Schraub, F. A. & Kline, S. J. 1965 A Study of the Structure of the Turbulent Boundary Layer With and Without Longitudinal Pressure Gradients. Report MD-12, Department of Mechanical Engineering, Stanford University.
Schraub et al. 1965 J. Basic Engng. Trans. ASME, 87. (See also ASME preprint FE-20.)
Sternberg, J. 1962 J. Fluid Mech. 13, 241.
Stuart, J. T. 1965 NPL Aero. Report 1147.
Uzkan, T. & Reynolds, W. C. 1967 J. Fluid Mech. 28, 803.
Willmarth, W. W. & Tu, B. J. 1966 University of Michigan Report no. 02920-3-T.