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In this work, we study the role of viscoelastic instability in the mechanicaldispersion of fluid flow through porous media at high Peclet numbers. Usingmicrofluidic experiments and numerical simulations, we show that viscoelasticinstability in flow through a hexagonally ordered (staggered) medium stronglyenhances dispersion transverse to the mean flow direction with increasingWeissenberg number (Wi). In contrast, preferential flow paths can quench theelastic instability in disordered media, which has two important consequencesfor transport: First, the lack of chaotic velocity fluctuations reducestransverse dispersion relative to unstable flows. Second, the amplification offlow along preferential paths with increasing Wi causes strongly-correlatedstream-wise flow that enhances longitudinal dispersion. Finally, we illustratehow the observed dispersion phenomena can be understood through the lens ofLagrangian stretching manifolds, which act as advective transport barriers andcoincide with high stress regions in these viscoelastic porous media flows.

Stress and stretching regulate dispersion in viscoelastic porous media flows