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Numerical investigation of viscous fingering in a three-dimensional cubical domain

2023/05/31 by Garima Varshney, Varshney, Garima, Anikesh Pal +1
Engineering · Materials Science · #Characterization and Applications of Magnetic Nanoparticles #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Lattice Boltzmann Simulation Studies #Pickering emulsions and particle stabilization

paper · pdf · doi:10.48550/arxiv.2305.19763

openalex publication_date 2023/05/31 · openalex created_date 2023/06/02 · openalex updated_date 2026/07/28

Abstract

We perform three-dimensional numerical simulations to understand the role of viscous fingering in sweeping a high-viscous fluid (HVF). These fingers form due to the injection of a low-viscous fluid (LVF) into a porous media containing the high-viscous fluid. We find that the sweeping of HVF depends on different parameters such as the Reynolds number (Re) based on the inflow rate of the LVF, the Péclet number (Pe), and the logarithmic viscosity ratio of HVF and LVF, \mathfrakR. At high values of Re, Pe, and \mathfrakR, the fingers grow non-linearly, resulting in earlier tip splitting of the fingers and breakthrough, further leading to poor sweeping of the HVF. In contrast, the fingers evolve uniformly at low values of Re, Pe, and \mathfrakR, resulting in an efficient sweeping of the HVF. We also estimate the sweep efficiency and conclude that the parameters Re, Pe and \mathfrakR be chosen optimally to minimize the non-linear growth of the fingers to achieve an efficient sweeping of the HVF.

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