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Viscous fingering and deformation of a miscible circular blob in a rectilinear displacement in porous media

  • Satyajit Pramanik (a1), A. De Wit (a2) and Manoranjan Mishra (a1)
Abstract

The deformation of an initially circular miscible blob in a rectilinear displacement is investigated numerically for porous media when the blob is more viscous than the displacing fluid. We find in the parameter space spanned by the Péclet number and log-mobility ratio the existence of a new lump-shaped instability zone between two distinct regimes of comet and viscous fingering (VF) deformations. The more viscous circular blob is destabilized by VF only over a finite window of log-mobility ratio, contrary to the displacement of a more viscous finite slice with planar interfaces. This difference is attributed to the initial curvature of the miscible blob.

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Email address for correspondence: satyajit.math16@gmail.com
References
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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Type Description Title
VIDEO
Movies

Pramanik supplementary movie
Viscous fingering instability of a circular blob for R = 1.25, r = 0.5, Pe = 1000

 Video (66 KB)
66 KB
VIDEO
Movies

Pramanik supplementary movie
Comet deformation of the blob for R = 3, r = 0.5, Pe = 1000

 Video (61 KB)
61 KB
VIDEO
Movies

Pramanik supplementary movie
Lump-shaped instability of a circular blob for R = 1.25, r = 0.5, Pe = 900

 Video (59 KB)
59 KB

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