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Experiments on transition to turbulence in oscillatory pipe flow

Published online by Cambridge University Press:  26 April 2006

David M. Eckmann  and
James B. Grotberg
David M. Eckmann
Affiliation:
Biomedical Engineering Department, The Technological Institute, Northwestern University, Evanston, IL 60208, USA and Department of Anesthesia, Northwestern University Medical School, Chicago, IL 60611, USA
James B. Grotberg
Affiliation:
Biomedical Engineering Department, The Technological Institute, Northwestern University, Evanston, IL 60208, USA and Department of Anesthesia, Northwestern University Medical School, Chicago, IL 60611, USA
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Abstract

A laser-Doppler velocimeter is used to analyse volume-cycled oscillatory flow of a Newtonian viscous fluid in a straight circular tube. The axial velocity is measured at radial positions across the diameter of the tube for a wide range of amplitude A = stroke distance/tube radius (2.4 [les ] A [les ] 21.6) and Womersley parameter (9 < α < 33). Transition to turbulence is detected during the decelerating phase of fluid motion for 500 < Rδ < 854, where Rδ = αA √2 is the Reynolds number based on Stokes-layer thickness. The turbulence is confined to an annular region which is a few times the Stokes-layer thickness near the wall. Hot-film anemometer measurements indicate the core flow remains stable when the boundary layer becomes turbulent for Rδ up to 1310.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 222 , January 1991 , pp. 329 - 350
Copyright
© 1991 Cambridge University Press

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