Possible Gigantic Variations on the Width of Viscoelastic Fingers

Abstract

– We analyze the effect of frequency on the width of a single finger displacing a viscoelastic fluid. We derive a generalized Darcy’s law in the frequency domain for a linear viscoelastic fluid flowing in a Hele Shaw cell. This leads to an analytic expression for the dynamic permeability that has maxima which are several orders of magnitude larger than the… (More)

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