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Updated: Aug 11, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
On the Spreading of Partially Miscible Liquids
Maria Santiago-Rosanne1, Michèle Vignes-Adler, Manuel G. Velarde
1Laboratoire de Physique des Matériaux Divisés et des Interfaces, Université de Marne la Vallée, Marne la Vallée Cedex 2, F-77454, France
Abstract:
As time proceeds, partially miscible liquids spread as a cap surrounded by a primary film according to power laws, t(n), for both the leading edge (front) and the central cap. The corresponding exponents depend on the thickness, H, of the liquid aqueous substrate and the deviation of concentration from its saturation value, DeltaC=C-C(sat). As long as H is thick enough, here H>/=5 mm, the exponents are n=1/2 and n=1/3 for the front and the central cap, respectively. For thinner layers, H approximately 2 mm, and moderate DeltaC, the spreading is drastically hindered and the measured values can go down to n=0.1, due to the additional friction imposed by the confinement of the convective cells generated by dissolution below the primary film which anchor on the solid surface beneath the liquid substrate. Copyright 2001 Academic Press.
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