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Azimuthal shear instability of a liquid jet injected into a gaseous cross-flow

Published online by Cambridge University Press:  12 February 2015

M. Behzad ,
N. Ashgriz  and
A. Mashayek
M. Behzad
Affiliation:
Department of Civil Engineering, University of Toronto, Toronto, ON, M5S 1A4, Canada
N. Ashgriz*
Affiliation:
Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, ON, M5S 3G8, Canada
A. Mashayek
Affiliation:
Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, MA, 02139-4307, USA
*
†Email address for correspondence: [email protected]
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Abstract

We investigate azimuthal instabilities which exist on the periphery of a non-turbulent liquid jet injected transversely into a gaseous cross-flow. We predict that the temporal growth of such instabilities may lead to the formation of interface corrugations, which are eventually sheared off of the jet surface (known as the jet ‘surface breakup’). In this study we employ temporal linear stability analyses to understand the nature of these instabilities. The analysis is based on a continuous formulation of momentum equations in which the jet and cross-flow are considered to be slightly miscible at the vicinity of the interface. We identify the shear instability as the primary destabilization mechanism in the flow. This inherently inviscid mechanism opposes the previously suggested mechanism of surface breakup (known as ‘boundary-layer stripping’), which is based on a viscous interpretation. The results show that the wavelengths of instabilities increase by moving away from the jet windward stagnation point toward the leeward point. We also investigate the influence of the jet-to-cross-flow density ratio on the flow stability and find that a higher ratio leads to formation of instabilities with higher wavenumbers on the jet surface. The results show that the density may have a non-monotonic stabilizing/destabilizing effect on the flow.

JFM classification

Multiphase and Particle-laden Flows: Gas/liquid flow Instability: Instability Wakes/Jets: Jets
Type
Papers
Information
Journal of Fluid Mechanics , Volume 767 , 25 March 2015 , pp. 146 - 172
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© 2015 Cambridge University Press 

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