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An experimental investigation of the stability of plane Poiseuille flow

Published online by Cambridge University Press:  29 March 2006

M. Nishioka ,
S. Iid A  and
Y. Ichikawa
M. Nishioka
Affiliation:
College of Engineering, University of Osaka Prefecture, Japan
S. Iid A
Affiliation:
College of Engineering, University of Osaka Prefecture, Japan
Y. Ichikawa
Affiliation:
College of Engineering, University of Osaka Prefecture, Japan
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Abstract

Stability experiments were made on plane Poiseuille flow generated in a long channel of a rectangular cross-section with a width-to-depth ratio of 27·4. By reducing the background turbulence down to a level of 0·05 %, we succeeded in maintaining the flow laminar at Reynolds numbers up to 8000, which is much larger than the critical Reynolds number of the linear theory, about 6000. The downstream development of the sinusoidal disturbance introduced by the vibrating ribbon technique was studied in detail at various frequencies in the range of Reynolds number from 3000 to 7500. This paper presents the experimental results and clarifies the linear stability, the nonlinear subcritical instability and the breakdown leading to the transition.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 72 , Issue 4 , 23 December 1975 , pp. 731 - 751
Copyright
© 1975 Cambridge University Press

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