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Linear global stability of two incompressible coaxial jets

Published online by Cambridge University Press:  13 July 2017

J. Canton Open the ORCID record for J. Canton [Opens in a new window] ,
F. Auteri Open the ORCID record for F. Auteri [Opens in a new window]  and
M. Carini
J. Canton
Affiliation:
Linné FLOW Centre and Swedish e-Science Research Centre (SeRC), KTH Mechanics, Royal Institute of Technology, Stockholm, SE-100 44, Sweden
F. Auteri*
Affiliation:
Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano, via La Masa 34, 20156 Milano, Italy
M. Carini
Affiliation:
ONERA – The French Aerospace Lab, F92190 Meudon, France
*
†Email address for correspondence: [email protected]
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Abstract

The linear stability of two incompressible coaxial jets, separated by a thick duct wall, is investigated by means of both a modal and a non-modal approach within a global framework. The attention is focused on the range of unitary velocity ratios for which an alternate vortex shedding from the duct wall is known to dominate the flow. In spite of the inherent convective nature of jet flow instabilities, such behaviour is shown to originate from an unstable global mode of the dynamics linearised around the axisymmetric base flow. The corresponding wavemaker is located in the recirculating-flow region formed behind the duct wall. At the same time, the transient-growth analysis reveals that huge amplifications (up to $20$ orders of magnitude) of small flow perturbations at the nozzle exit can occur in the subcritical regime, especially for high ratios between the outer and the inner velocities.

JFM classification

Instability: Absolute/convective instability Wakes/Jets: Wakes/Jets
Type
Papers
Information
Journal of Fluid Mechanics , Volume 824 , 10 August 2017 , pp. 886 - 911
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Copyright
© 2017 Cambridge University Press 

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