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On the origin of streamwise vortices in a turbulent boundary layer

Published online by Cambridge University Press:  21 April 2006

P. S. Jang ,
D. J. Benney  and
R. L. Gran
P. S. Jang
Affiliation:
Dynamics Technology, Inc., Torrance, CA 90503
D. J. Benney
Affiliation:
Massachusetts Institute of Technology, Cambridge, MA 02139
R. L. Gran
Affiliation:
Dynamics Technology, Inc., Torrance, CA 90503
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Abstract

Several experiments have suggested that streamwise vortices, with their accompany-ing low-momentum streaks in a turbulent boundary layer have a characteristic spanwise wavelength of approximately λz+ = 100. Here a mechanism is proposed which selects a comparable spanwise wavelength and produces counter-rotating streamwise vortices in a turbulent boundary layer. Examining the equations which describe the deviation of the velocity field from its time-average, it is found that a resonance (Benney & Gustavsson 1981), is associated with the mean-velocity profile. As an integral part of this resonance, there is a mean secondary flow which has a spanwise wavelength λz+ = 90 and whose velocities exhibit a streamwise vortex structure similar to those observed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 169 , August 1986 , pp. 109 - 123
Copyright
© 1986 Cambridge University Press

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