Hostname: page-component-76fb5796d-22dnz Total loading time: 0 Render date: 2024-04-25T14:38:52.125Z Has data issue: false hasContentIssue false

Laminar–turbulent transition in Poiseuille pipe flow subjected to periodic perturbation emanating from the wall. Part 2. Late stage of transition

Published online by Cambridge University Press:  20 October 2000

G. HAN
Affiliation:
Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel
A. TUMIN
Affiliation:
Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel
I. WYGNANSKI
Affiliation:
Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel

Abstract

Transition in a fully developed circular pipe flow was investigated experimentally by introducing periodic perturbations. The simultaneous excitation of helical modes having indices m = ±1, ±2 and ±3 was chosen. The experiments revealed that the late stage of transition is accompanied by the formation of streaky structures that are associated with peaks and valleys in the azimuthal distribution of the streamwise velocity disturbance. The breakdown to turbulence starts with the appearance of spikes in the temporal traces of the velocity. Spectral characteristics of these spikes and the direction of their propagation relative to the wall are similar to those in boundary layers. Analysis of the data suggests the existence of a high-shear layer in the instantaneous velocity profile.

Additional experiments in which a very weak, steady flow was added locally to the periodic axisymmetric perturbation were also carried out. These experiments resulted in the generation of a single peak in the azimuthal distribution of the disturbance amplitude. The characteristics of the transition process (spikes, vortical patterns etc.) within this peak were similar to ones observed in the helical excitation experiments. Based on these results one may conclude that late stages of transition in a pipe flow and in a boundary layer are similar. The present report is part of an ongoing investigation that was initiated by Eliahou, Tumin & Wygnanski (1998a).

Type
Research Article
Copyright
© 2000 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.)