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Origin of the peak-valley wave structure leading to wall turbulence

Published online by Cambridge University Press:  26 April 2006

Masahito Asai  and
Michio Nishioka
Masahito Asai
Affiliation:
Department of Aeronautical Engineering, University of Osaka Prefecture, Sakai, Osaka 591, Japan
Michio Nishioka
Affiliation:
Department of Aeronautical Engineering, University of Osaka Prefecture, Sakai, Osaka 591, Japan
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Abstract

A generation process for the three-dimensional wave which dominates the transition preceded by a Tollmien-Schlichting (T-S) wave is studied both experimentally and numerically in plane Poiseuille flow at a subcritical Reynolds number of 5000. In order to identify the origin of the three-dimensional wave in Nishioka et al.'s laboratory experiment, the corresponding spanwise mean-flow distortion and two-dimensional T-S wave modes are introduced into a parabolic flow as the initial disturbance conditions for a numerical simulation of temporally growing type. Through reproducing the actual wave development into the peak-valley structure, the simulation pinpoints the origin to be the slight spanwise mean-flow distortion in the experimental basic flow. Furthermore, the simulation clearly shows that the growth of the three-dimensional wave requires the vortex stretching effect due to the streamwise vortices, which appear under the experimental conditions only when the amplitude of the two-dimensional T-S wave is above the observed threshold.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 208 , November 1989 , pp. 1 - 23
Copyright
© 1989 Cambridge University Press

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