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Experiments on transient growth of turbulent spots

Published online by Cambridge University Press:  26 September 2017

L. Klotz Open the ORCID record for L. Klotz [Opens in a new window]  and
J. E. Wesfreid
L. Klotz*
Affiliation:
Physique et Mécanique des Milieux Hétérogènes (PMMH), CNRS, ESPCI, PSL Research University, 10 rue Vauquelin, 75005 Paris, France Paris-Sorbonne Université, 1 rue Victor-Cousin, 75005 Paris, France Université Paris-Diderot, 5 rue Thomas-Mann, 75013 Paris, France
J. E. Wesfreid*
Affiliation:
Physique et Mécanique des Milieux Hétérogènes (PMMH), CNRS, ESPCI, PSL Research University, 10 rue Vauquelin, 75005 Paris, France Paris-Sorbonne Université, 1 rue Victor-Cousin, 75005 Paris, France Université Paris-Diderot, 5 rue Thomas-Mann, 75013 Paris, France
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

We present detailed experiments on transient growth of turbulent spots induced by external forcing in plane Couette–Poiseuille flow, which are studied in the framework of linear transient growth. The experimental investigation is supplemented with full theoretical analysis. We compare quantitatively the experimental and theoretical results, including maximal gain and the time at which it occurs. We also present the limits of validity for the application of the linear theory at high amplitude perturbation and Reynolds number, showing experiments with self-sustained states.

JFM classification

Instability: Instability Instability: Transition to turbulence
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 829 , 25 October 2017 , R4
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Copyright
© 2017 Cambridge University Press 

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