An experimental study of oblique transition in plane Poiseuille flow

1998 ◽  
Vol 358 ◽  
pp. 177-202 ◽  
Author(s):  
PER A. ELOFSSON ◽  
P. HENRIK ALFREDSSON

Interactions of oblique waves have recently been investigated theoretically and numerically and found to give rise to rapid transition in flows subcritical to linear wave disturbances. The transition scenario consists of the formation and transient growth of streamwise streaks of high and low velocity and later a rapid growth of high-frequency disturbances leading to breakdown. The present study is the first extensive experimental investigation of oblique transition. The experiments were carried out in a plane Poiseuille flow air channel in which the oblique waves were generated, one at each wall, by vibrating ribbons and the development of the flow was mapped with hot-wire anemometry. The experiments consist both of low- and high-amplitude wave disturbances; in both cases streaky structures are created. For the low-amplitude case these structures decay, whereas for the high amplitude the flow goes towards breakdown. This study has confirmed and extended previous theoretical and numerical results showing that oblique transition may be an important transition scenario.

1960 ◽  
Vol 9 (3) ◽  
pp. 371-389 ◽  
Author(s):  
J. Watson

In Part 1 by Stuart (1960), a study was made of the growth of an unstable infinitesimal disturbance, or the decay of a finite disturbance through a stable infinitesimal disturbance to zero, in plane Poiseuille flow, and that paper gave the most important terms in a solution of the equations of motion. The greater part of the present paper is concerned with a re-formulation of this problem which readily yields the complete solution. By the same method a solution for Couette flow is obtained. This solution is only a formal one for the present because the conditions imposed in deriving the solution may not be valid for Couette flow; this flow is believed to be stable to infinitesimal disturbances of the type considered.


1999 ◽  
Vol 11 (4) ◽  
pp. 915-930 ◽  
Author(s):  
Per A. Elofsson ◽  
Mitsuyoshi Kawakami ◽  
P. Henrik Alfredsson

2009 ◽  
Vol 337 (3) ◽  
pp. 179-183 ◽  
Author(s):  
Martin Hollands ◽  
Carlo Cossu

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