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Stationary Solutal Marangoni Instability in a Two-Layer System
Slavtchev1, Hennenberg, Legros
1Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bontchev St., Block 4, Sofia, 1113, Bulgaria
Abstract:
The effect of different mass transfer mechanisms on the Marangoni instability in a two-layer system of finite width is studied. A dilute soluble surfactant is transferred across the interface between two immiscible fluid phases. A linear stability analysis is developed, and the corresponding eigenvalue problem is solved analytically for the onset of monotonic instability. Mass transfer is assumed to be controlled by bulk diffusion or/and by the adsorption-desorption mechanism. The influences of the diffusivity ratio and the layer width ratio on the instability of the system are examined. Copyright 1998 Academic Press.
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