Abstract
The stability of a plane interface of two immiscible liquids (both are finite thickness) with a perpendicular mass transfer is investigated by means of linear stability and energy methods. An analytical formula is derived for the linear stability boundary, whereas the numerical solutions are obtained for boundaries following from both linear and energy analyses. It is concluded that the difference in the chemical potential of these two phases drives the convective flow and that a threshold Marangoni number exists for the instability to occur. It is also shown that the energy stability boundary does not coincide with that following from the linear analysis, so the subcritical instability is allowed in the region in between.
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