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Finite-amplitude thresholds for transition in pipe flow

Published online by Cambridge University Press:  14 June 2007

J. PEIXINHO  and
T. MULLIN
J. PEIXINHO
Affiliation:
Manchester Centre for Nonlinear Dynamics, The University of Manchester, M13 9PL, UK
T. MULLIN
Affiliation:
Manchester Centre for Nonlinear Dynamics, The University of Manchester, M13 9PL, UK
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Abstract

We report the results of an experimental study of the finite-amplitude thresholds for transition to turbulence in a constant mass flux pipe flow. The flow was perturbed using small impulsive jets and push–pull disturbances from holes in the pipe wall. The flux of the disturbance is used to define an amplitude for the perturbation and the critical value required to cause transition scales in proportion to Re−1 for jets. In this case, the transition is catastrophic and the scaling suggests a simple balance between inertia and viscosity. On the other hand, the threshold scales as Re−1.3 or Re−1.5 for push–pull disturbances with the precise value depending on the orientation of the perturbation. Further, the amplitudes required to cause transition are typically an order of magnitude smaller than for jets. When the push–pull perturbation was applied in the oblique direction, streaks and hairpin vortices appeared during the growth phase of the disturbance. The scaling of the threshold and the growth of structures are both consistent with ideas associated with temporary algebraic growth.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 582 , 10 July 2007 , pp. 169 - 178
Copyright
Copyright © Cambridge University Press 2007

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