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The ‘bursting’ phenomenon in a turbulent boundary layer

Published online by Cambridge University Press:  29 March 2006

K. Narahari Rao ,
R. Narasimha  and
M. A. Badri Narayanan
K. Narahari Rao
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Science, Bangalore 12
R. Narasimha
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Science, Bangalore 12
M. A. Badri Narayanan
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Science, Bangalore 12
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Abstract

Using a hot wire in a turbulent boundary layer in air, an experimental study has been made of the frequent periods of activity (to be called ‘bursts’) noticed in a turbulent signal that has been passed through a narrow band-pass filter. Although definitive identification of bursts presents difficulties, it is found that a reasonable characteristic value for the mean interval between such bursts is consistent, at the same Reynolds number, with the mean burst periods measured by Kline et al. (1967), using hydrogen-bubble techniques in water. However, data over the wider Reynolds number range covered here show that, even in the wall or inner layer, the mean burst period scales with outer rather than inner variables; and that the intervals are distributed according to the log normal law. It is suggested that these ‘bursts’ are to be identified with the ‘spottiness’ of Landau & Kolmogorov, and the high-frequency intermittency observed by Batchelor & Townsend. It is also concluded that the dynamics of the energy balance in a turbulent boundary layer can be understood only on the basis of a coupling between the inner and outer layers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 48 , Issue 2 , 28 July 1971 , pp. 339 - 352
Copyright
© 1971 Cambridge University Press

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References

Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Batchelor, G. K. & Townsend, A. A. 1949 Proc. Roy. Soc. A, 199, 238.
Black, T. J. 1966 Proc. Heat Transfer and Fluid Mechanics Institute, p. 366. Stanford University Press.
Bracewell, R. 1965 The Fourier Transform and Its Applications. McGraw-Hill.
Bradshaw, P. 1967 J. Fluid Mech. 30, 241.
Clauser, F. H. 1956 Advan. Appl. Mech. 4, 1.
Coles, D. 1962 Rand Report, R-403-PR.
Fiedler, H. & Head, M. R. 1966 J. Fluid Mech. 25, 719.
Greenspan, H. P & Benney, D. J. 1963 J. Fluid Mech. 15, 133.
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1968 Stanford University, Rep. MD-20.
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 J. Fluid Mech. 30, 741.
Kolmogorov, A. N. 1941 C. R. Acad. Sci., U.R.S.S. 31, 99.
Kolmogorov, A. N. 1962 J. Fluid Mech. 13, 82.
Laufer, J. & Badri Narayanan, M. A. 1971 Phys. Fluids 14, 182.
Landahl, M. T. 1967 J. Fluid Mech. 29, 441.
Rao, K. N., Narasimha, R. & Badri Narayanan, M. A. 1969 I.I. Sc. Rep. 69 FM 8.
Runstadler, P. W., Kline, S. J. & Reynolds, W. C. 1963 Stanford University, Rep. MD-20.
Saffman, P. G. 1968 Topics in Non-linear Physics (ed. N. J. Zabusky), p. 485. Springer.
Sandborn, V. A. 1959 J. Fluid Mech. 6, 221.
Schraub, F. A. & Kline, S. J. 1965 Stanford University, Rep. MD-12.
Schubert, G. & Corcos, G. M. 1967 J. Fluid Mech. 29, 113.
Townsend, A. A. 1956 Structure of Turbulent Shear Flow. Cambridge University Press.
Townsend, A. A. 1961 J. Fluid Mech. 11, 97.
Tu, B. & Willmarth, W. W. 1966 University of Michigan, College of Engineering Rep. 02920-d-T.
Willmarth, W. W. & Wooldridge, C. E. 1962 J. Fluid Mech. 11, 187.