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Inertial Effects on Dynamics of Immiscible Viscous Fingering in Homogenous Porous Media

Department of Mechanical Engineering, Masdar City Campus, Khalifa University, P.O. Box 54224, Abu Dhabi, UAE
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Fluids 2019, 4(2), 79; https://doi.org/10.3390/fluids4020079
Received: 3 March 2019 / Revised: 15 April 2019 / Accepted: 18 April 2019 / Published: 21 April 2019
(This article belongs to the Special Issue Convective Instability in Porous Media, Volume II)
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Abstract

We present a comparative study of the onset and propagation dynamics of the fingering phenomenon in uniform porous media with a radial configuration. With the help of the Finite Element Method (FEM)-based 2D simulations and image processing techniques, we investigate finger morphology, growth rate, interfacial length, finger length and the number of fingers which are affected due to inertial forces and convective acceleration in a two-phase porous media flow. We considered a modified Darcy’s law with inertial force coupled with convective acceleration and investigate their impact on interfacial instability with different velocity-viscosity combinations. Interestingly, the consequences of inertial corrections become significant with changes in viscosity at high Reynolds numbers. Due to the intrinsic bifurcation nature of inertial forces in the radial flow geometry, finger morphology is changed mostly at high viscosity ratios. We find that the effects of inertia and convective acceleration are markedly significant at relatively high Reynolds numbers while the interfacial length and the number of fingers—which are important parameters for Enhanced Oil Recovery (EOR)—are most affected by the neglecting of these forces. Moreover, at high Reynolds numbers, the rate of growth of fingering instabilities and the fractal number tend to deviate from that for Darcy’s law. View Full-Text
Keywords: multiphase flow; fingering; inertial effects; hydrodynamic instability; porous media flow multiphase flow; fingering; inertial effects; hydrodynamic instability; porous media flow
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Rabbani, S.; Abderrahmane, H.; Sassi, M. Inertial Effects on Dynamics of Immiscible Viscous Fingering in Homogenous Porous Media. Fluids 2019, 4, 79.

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