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Rayleigh–Taylor stability in an evaporating binary mixture

Published online by Cambridge University Press:  04 June 2018

Dipin S. Pillai Open the ORCID record for Dipin S. Pillai [Opens in a new window]  and
R. Narayanan
Dipin S. Pillai*
Affiliation:
Department of Chemical Engineering, University of Florida, Gainesville, FL 32611, USA
R. Narayanan
Affiliation:
Department of Chemical Engineering, University of Florida, Gainesville, FL 32611, USA
*
†Email address for correspondence: dipinsp@ufl.edu
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Abstract

A heavy-over-light configuration of a fluid bilayer may be stabilized in the presence of a phase change if the system consists of a single component. However, if the fluid is composed of a binary mixture with the more volatile component having the lower surface tension, it is known that a Marangoni instability occurs. This instability owes its origin to concentration gradients created by the phase change, even though the phase change otherwise has a stabilizing effect. In this study, it is shown via a nonlinear model under a long-wavelength approximation, that this Marangoni destabilization is insufficient to cause a rupture of the interface under practical operating conditions. Computations reveal that the stabilizing effect of the phase change dominates as the film becomes thin by reversing the direction of the Marangoni flow, thereby halting the instability and any hope of rupture.

JFM classification

Phase change: Condensation/evaporation Convection: Marangoni convection Interfacial Flows (free surface): Thin films
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 848 , 10 August 2018 , R1
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Copyright
© 2018 Cambridge University Press 

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Pillai and Narayanan supplementary movie 1

The spatio-temporal evolution of the R-T unstable interface in the absence of phase change for pure ethanol bilayer. The interface approaches rupture.

Download Pillai and Narayanan supplementary movie 1(Video)
Video 1.1 MB

Pillai and Narayanan supplementary movie 2

Saturation of R-T unstable interface to a steady configuration in the presence of phase change for pure ethanol bilayer, ΔT=5°C.

Download Pillai and Narayanan supplementary movie 2(Video)
Video 1 MB

Pillai and Narayanan supplementary movie 3

Velocity profile in each phase for the binary mixture, showing "flow reversal" in the liquid phase as the interface approaches the heated bottom wall.

Download Pillai and Narayanan supplementary movie 3(Video)
Video 3.4 MB