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Instability regimes in the primary breakup region of planar coflowing sheets

Published online by Cambridge University Press:  01 November 2013

D. Fuster ,
J.-P. Matas ,
S. Marty ,
S. Popinet ,
J. Hoepffner ,
A. Cartellier  and
S. Zaleski
D. Fuster*
Affiliation:
CNRS (UMR 7190), Université Pierre et Marie Curie, Institut Jean le Rond d’Alembert, 75005, Paris, France
J.-P. Matas
Affiliation:
Université de Grenoble Alpes, LEGI, F-38000 Grenoble, France
S. Marty
Affiliation:
Université de Grenoble Alpes, LEGI, F-38000 Grenoble, France
S. Popinet
Affiliation:
NIWA National Institute of Water and Atmospheric Research, PO Box 14-901 Kilbirnie, Wellington, New Zealand
J. Hoepffner
Affiliation:
CNRS (UMR 7190), Université Pierre et Marie Curie, Institut Jean le Rond d’Alembert, 75005, Paris, France
A. Cartellier
Affiliation:
CNRS, LEGI, F-38000 Grenoble, France
S. Zaleski
Affiliation:
CNRS (UMR 7190), Université Pierre et Marie Curie, Institut Jean le Rond d’Alembert, 75005, Paris, France
*
†Email address for correspondence: [email protected]
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Abstract

This article investigates the appearance of instabilities in two planar coflowing fluid sheets with different densities and viscosities via experiments, numerical simulation and linear stability analysis. At low dynamic pressure ratios a convective instability is shown to appear for which the frequency of the waves in the primary atomization region is influenced by both liquid and gas velocities. For large dynamic pressure ratios an asymptotic regime is obtained in which frequency is solely controlled by gas velocity and the instability becomes absolute. The transition from convective to absolute is shown to be influenced by the velocity defect induced by the presence of the separator plate. We show that in this regime the splitter plate thickness can also affect the nature of the instability if it is larger than the gas vorticity thickness. Computational and experimental results are in agreement with the predictions of a spatio-temporal stability analysis.

JFM classification

Instability: Absolute/convective instability Drops and Bubbles: Aerosols/atomization
Type
Papers
Information
Journal of Fluid Mechanics , Volume 736 , 10 December 2013 , pp. 150 - 176
Copyright
©2013 Cambridge University Press 

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