4.7 Article

Rayleigh-Taylor stability in an evaporating binary mixture

Journal

JOURNAL OF FLUID MECHANICS
Volume 848, Issue -, Pages -

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2018.385

Keywords

condensation/evaporation; Marangoni convection; thin films

Funding

  1. NSF [NSF-0968313]
  2. NASA [NNX17AL27G]
  3. Institute of Advanced Study - Durham University, UK
  4. Office Of The Director
  5. Office Of Internatl Science &Engineering [0968313] Funding Source: National Science Foundation

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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.

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