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Experimental validation of inviscid linear stability theory applied to an axisymmetric jet

Published online by Cambridge University Press:  11 January 2022

L.R. Gareev Open the ORCID record for L.R. Gareev [Opens in a new window] ,
J.S. Zayko Open the ORCID record for J.S. Zayko [Opens in a new window] ,
A.D. Chicherina Open the ORCID record for A.D. Chicherina [Opens in a new window] ,
V.V. Trifonov Open the ORCID record for V.V. Trifonov [Opens in a new window] ,
A.I. Reshmin Open the ORCID record for A.I. Reshmin [Opens in a new window]  and
V.V. Vedeneev Open the ORCID record for V.V. Vedeneev [Opens in a new window]
L.R. Gareev
Affiliation:
Institute of Mechanics, Lomonosov Moscow State University, Moscow 119192, Russia
J.S. Zayko*
Affiliation:
Institute of Mechanics, Lomonosov Moscow State University, Moscow 119192, Russia
A.D. Chicherina
Affiliation:
Institute of Mechanics, Lomonosov Moscow State University, Moscow 119192, Russia
V.V. Trifonov
Affiliation:
Institute of Mechanics, Lomonosov Moscow State University, Moscow 119192, Russia
A.I. Reshmin
Affiliation:
Institute of Mechanics, Lomonosov Moscow State University, Moscow 119192, Russia
V.V. Vedeneev
Affiliation:
Institute of Mechanics, Lomonosov Moscow State University, Moscow 119192, Russia Department of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow 119991, Russia
*
†Email address for correspondence: zayko@imec.msu.ru
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Abstract

We study the development of perturbations in a submerged air jet with a round cross-section and a long laminar region (five jet diameters) at a Reynolds number of 5400 by both inviscid linear stability theory and experiments. The theoretical analysis shows that there are two modes of growing axisymmetric perturbations, which are generated by three generalized inflection points of the jet's velocity profile. To validate the results of linear stability theory, we conduct experiments with controlled axisymmetric perturbations to the jet. The characteristics of growing waves are obtained by visualization, thermoanemometer measurements and correlation analysis. Experimentally measured wavelengths, growth rates and spatial distributions of velocity fluctuations for both growing modes are in good agreement with theoretical calculations. Therefore, it is demonstrated that small perturbations to the laminar jet closely follow the predictions of inviscid linear stability theory.

JFM classification

Instability: Shear-flow instability Wakes/Jets: Jets

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Type
JFM Papers
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Journal of Fluid Mechanics , Volume 934 , 10 March 2022 , A3
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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