Some Hydrodynamic Models for Studying the Displacement of One Liquid by Another. Part I. Cylindrical Flow
We construct and solve in an analytical way a model to describe the displacement process of one liquid by another. By neglecting surface tension and assuming simple shear flows, we find an explicit analytical solution for the time-dependent velocity profiles. Our formalism permits us to discern the presence of the 3 different time scales involved in this process that may have an influence over the whole displacement time.
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