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Stability of an air–water mixing layer: focus on the confinement effect

Published online by Cambridge University Press:  21 December 2021

Cyril Bozonnet Open the ORCID record for Cyril Bozonnet [Opens in a new window] ,
Jean-Philippe Matas Open the ORCID record for Jean-Philippe Matas [Opens in a new window] ,
Guillaume Balarac  and
Olivier Desjardins
Cyril Bozonnet*
Affiliation:
Univ. Grenoble Alpes, CNRS, Grenoble INP, LEGI, 38000 Grenoble, France Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, USA
Jean-Philippe Matas
Affiliation:
Univ Lyon, Univ Claude Bernard Lyon 1, CNRS, Ecole Centrale de Lyon, INSA Lyon, LMFA, UMR5509, 69622 Villeurbanne, France
Guillaume Balarac
Affiliation:
Univ. Grenoble Alpes, CNRS, Grenoble INP, LEGI, 38000 Grenoble, France Institut Universitaire de France (IUF)
Olivier Desjardins
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853, USA
*
†Email address for correspondence: [email protected]
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Abstract

The shear instability occurring at the interface between a slow water layer and a fast air stream is a complex phenomenon driven by momentum and viscosity differences across the interface, velocity gradients as well as by injector geometries. Simulating such an instability under experimental conditions is numerically challenging and few studies exist in the literature. This work aims at filling a part of this gap by presenting a study of the convergence between two-dimensional simulations, linear theory and experiments, in regimes where the instability is triggered by the confinement, i.e. finite thicknesses of gas and liquid streams. It is found that very good agreement between the three approaches is obtained. Moreover, using simulations and linear theory, we explore in detail the effects of confinement on the stability of the flow and on the transition between absolute and convective instability regimes, which is shown to depend on the length scale of the confinement as well as on the dynamic pressure ratio. In the absolute regime under study, the interfacial wave frequency is found to be inversely proportional to the smallest injector size (liquid or gas).

JFM classification

Drops and Bubbles: Aerosols/atomization Instability: Absolute/convective instability Wakes/Jets: Shear layers
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 933 , 25 February 2022 , A14
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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