Inertial capture in flow through porous media
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We investigate through numerical calculation of non-Brownian particles transported by a fluid in a porous medium, the influence of geometry and inertial effects on the capture efficiency of the solid matrix. In the case of a periodic array of cylinders and under the action of gravity, our results reveal that δ ∼ St, where δ is the particle capture efficiency, and St is the Stokes number. In the absence of gravity, we observe a typical second order transition between non-trapping and trapping of particles that can be expressed as δ ∼ (St − St c ) α , with an exponent α ≈ 0.5, where St c is the critical Stokes number. We also perform simulations for flow through a random porous structure and confirm that its capture behavior is consistent with the simple periodic model.
PACS47.56.+r Flows through porous media 47.55.Kf Particle-laden flows 05.70.Jk Critical point phenomena 83.80.Hj Suspensions, dispersions, pastes, slurries, colloids
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