Hostname: page-component-7c8c6479df-p566r Total loading time: 0 Render date: 2024-03-28T13:30:00.655Z Has data issue: false hasContentIssue false

On the criteria for reverse transition in a two-dimensional boundary layer flow

Published online by Cambridge University Press:  28 March 2006

M. A. Badri Narayanan
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Science, Bangalore, India
V. Ramjee
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Science, Bangalore, India

Abstract

Experiments on reverse transition were conducted in two-dimensional accelerated incompressible turbulent boundary layers. Mean velocity profiles, longitudinal velocity fluctuations $\tilde{u}^{\prime}(=(\overline{u^{\prime 2}})^{\frac{1}{2}})$ and the wall-shearing stress (TW) were measured. The mean velocity profiles show that the wall region adjusts itself to laminar conditions earlier than the outer region. During the reverse transition process, increases in the shape parameter (H) are accompanied by a decrease in the skin friction coefficient (Cf). Profiles of turbulent intensity (u2) exhibit near similarity in the turbulence decay region. The breakdown of the law of the wall is characterized by the parameter \[ \Delta_p (=\nu[dP/dx]/\rho U^{*3}) = - 0.02, \] where U* is the friction velocity. Downstream of this region the decay of $\tilde{u}^{\prime}$ fluctuations occurred when the momentum thickness Reynolds number (R) decreased roughly below 400.

Type
Research Article
Copyright
© 1969 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Back, L. H., Massier, P. F. & Gier, H. L. 1964 Int. J. Heat Transfer, 7, 54468.
Badri Narayanan, M. A. 1968 J. Fluid Mech. 31, 60924.
Fiedler, H. & Head, M. R. 1966 J. Fluid Mech. 25, 71935.
Laufer, J. 1962 Decay of nonisotropic turbulent field Miszellaneed der Angewandten Mechanik. Edited by Manfred Schafer. Göttingen.
Launder, B. E. 1963 M.I.T. Cambridge. Gas Turbine Laboratory. Rep. no. 71.
Launder, B. E. 1964 M.I.T. Cambridge. Gas Turbine Laboratory. Rep. no. 77.
Launder, B. E. & Stinchcombe, H. S. 1967 Imperial College, London. T.W.F. TN no. 21.Google Scholar
Liepmann, H. W. & Skinner, G. T. 1954 NACA TN no. 3268.
Moretti, P. M. & Kays, W. M. 1965 Int. J. Heat Transfer, 8, 11871202.
Patel, V. C. 1965 J. Fluid Mech. 23, 185208.
Patel, V. C. & Head, M. R. 1968 A.R.C. 29859.
Schraub, F. A. & Kline, S. J. 1965 Thermo Sciences Division, Stanford University Rep. MD-12.
Sergienko, A. A. & Gretsov, K. V. 1959 Dokl. Akad. Nauk, SSSR, no. 125.
Sibulkin, M. 1962 Phys. Fluids, 5, 2804.
Sternberg, J. 1954 U.S. Army Bal. Res. Rep. no. 906.