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Shear instability of an axisymmetric air–water coaxial jet

  • Jean-Philippe Matas (a1), Antoine Delon (a2) and Alain Cartellier (a2)
Abstract

We study the destabilization of a round liquid jet by a fast annular gas stream. We measure the frequency of the shear instability waves for several geometries and air/water velocities. We then carry out a linear stability analysis, and show that there are three competing mechanisms for the destabilization: a convective instability, an absolute instability driven by surface tension and an absolute instability driven by confinement. We compare the predictions of this analysis with experimental results, and propose scaling laws for wave frequency in each regime. We finally introduce criteria to predict the boundaries between these three regimes.

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Email address for correspondence: jean-philippe.matas@univ-lyon1.fr
References
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Boomkamp, P. & Miesen, R. 1996 Classification of instabilities in parallel two-phase flow. Intl J. Multiphase Flow 22, 6788.
Canton, J., Auteri, F. & Carini, M. 2017 Linear global stability of two incompressible coaxial jets. J. Fluid Mech. 824, 886911.
Dimotakis, P. E. 1986 Two-dimensional shear-layer entrainment. AIAA J 24, 17911796.
Fuster, D., Matas, J.-P., Marty, S., Popinet, S., Hoepffner, J., Cartellier, A. & Zaleski, S. 2013 Instability regimes in the primary breakup region of planar coflowing sheets. J. Fluid Mech. 736, 150176.
Garnaud, X., Lesshafft, L., Schmid, P. J. & Huerre, P. 2013 The preferred mode of incompressible jets: linear frequency response analysis. J. Fluid Mech. 716, 189202.
Healey, J. J. 2007 Enhancing the absolute instability of a boundary layer by adding a far-away plate. J. Fluid Mech. 579, 29.
Healey, J. J. 2009 Destabilizing effects of confinement on homogeneous mixing layers. J. Fluid Mech. 623, 241.
Hinch, E. J. 1984 A note on the mechanism of the instability at the interface between two fluids. J. Fluid Mech. 144, 463465.
Hoepffner, J., Blumenthal, R. & Zaleski, S. 2011 Self-similar wave produced by local perturbation of the Kelvin–Helmholtz shear-layer instability. Phys. Rev. Lett. 106, 104502.
Hong, M., Cartellier, A. & Hopfinger, E. J. 2002 Atomization and mixing in coaxial condition. In 4th International Conference on Launcher Technology Space Launcher Liquid Propulsion. Liège, Belgium. Belgium CNES Publ.
Hooper, A. P. & Boyd, W. G. C. 1983 Shear-flow instability at the interface between two viscous fluids. J. Fluid Mech. 128, 507528.
Huerre, P. & Monkewitz, P. A. 1990 Local and global instabilities in spatially developing flows. Annu. Rev. Fluid Mech. 22, 473537.
Juniper, M. P. 2007 The full impulse response of two-dimensional jet/wake flows and implications for confinement. J. Fluid Mech. 590, 163185.
Lasheras, J. C. & Hopfinger, E. J. 2000 Liquid jet instability and atomization in a coaxial gas stream. Annu. Rev. Fluid Mech. 32, 275308.
Lefebvre, A. H. 1989 Atomization and Sprays. Hemisphere.
Ling, Y., Fuster, D., Zaleski, S. & Tryggvason, G. 2017 Spray formation in a quasiplanar gas-liquid mixing layer at moderate density ratios: a numerical closeup. Phys. Rev. Fluids 2, 014005.
Luchini, P. & Bottaro, A. 2014 Adjoint equations in stability analysis. Annu. Rev. Fluid Mech. 46, 493517.
Marmottant, P. & Villermaux, E. 2004 On spray formation. J. Fluid Mech. 498, 73.
Matas, J.-P. 2015 Inviscid versus viscous instability mechanism of an air-water mixing layer. J. Fluid Mech. 768, 375387.
Matas, J.-P., Hong, M. & Cartellier, A. 2014 Stability of a swirled liquid film entrained by a fast gas stream. Phys. Fluids 26, 042108.
Matas, J.-P., Marty, S. & Cartellier, A. 2011 Experimental and analytical study of a gas-liquid mixing layer. Phys. Fluids 23, 094112.
Matas, J.-P., Marty, S., Dem, M. S. & Cartellier, A. 2015 Influence of gas turbulence on the instability of an air-water mixing layer. Phys. Rev. Lett. 115, 074501.
Ó Náraigh, L., Spelt, P. D. M. & Shaw, S. J. 2013 Absolute linear instability in laminar and turbulent gas-liquid two-layer channel flow. J. Fluid Mech. 714, 5894.
Otto, T., Rossi, M. & Boeck, T. 2013 Viscous instability of a sheared liquid–gas interface: dependence on fluid properties and basic velocity profile. Phys. Fluids 25, 032103.
Raynal, L., Villermaux, E., Lasheras, J. C. & Hopfinger, E. J. 1997 Primary instability in liquid gas shear layers. In Proceedings of the 11th Symp. on Turbulent Shear Flows, vol. 3. INP-CNRS-UJF, Grenoble, France, 27.1–27.5.
Yih, C. S. 1967 Instability due to viscous stratification. J. Fluid Mech. 27, 337352.
Young, W. R. & Wolfe, C. L. 2014 Generation of surface waves by shear-flow instability. J. Fluid Mech. 739, 276307.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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