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Instability dynamics of viscous fingering interaction on dual displacement fronts

Published online by Cambridge University Press:  20 September 2024

Anindityo Patmonoaji Open the ORCID record for Anindityo Patmonoaji [Opens in a new window] ,
Yuichiro Nagatsu Open the ORCID record for Yuichiro Nagatsu [Opens in a new window]  and
Manoranjan Mishra Open the ORCID record for Manoranjan Mishra [Opens in a new window]
Anindityo Patmonoaji*
Affiliation:
Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, UK Department of Chemical Engineering, Tokyo University of Agriculture and Technology, Naka-cho 2-24-16, Koganei, Tokyo 184-8588, Japan Department of Mechanical Engineering, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8551, Japan
Yuichiro Nagatsu*
Affiliation:
Department of Chemical Engineering, Tokyo University of Agriculture and Technology, Naka-cho 2-24-16, Koganei, Tokyo 184-8588, Japan
Manoranjan Mishra
Affiliation:
Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar 140001, India
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

We explored the instability dynamics of the viscous fingering interaction in dual displacement fronts by varying the viscosity configuration. Four regimes of rear-dominated fingering, front-dominated fingering, dual fingering and stable were identified. By using the breakthrough time, which refers to the breakup of the dual displacement fronts, the instability dynamics were modelled, and a regime map was developed. These serve as a tool for effectively harnessing the dual displacement fronts for various applications, such as hydrogeology, petroleum, chemical processes and microfluidics.

JFM classification

Interfacial Flows (free surface): Fingering instability Low-Reynolds-number flows: Hele-Shaw flows Low-Reynolds-number flows: Porous media
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 995 , 25 September 2024 , A5
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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Supplementary material: File

Patmonoaji et al. supplementary movie 1

Front Dominated Fingering (RB = 0.4; RC = 2.0)
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Supplementary material: File

Patmonoaji et al. supplementary movie 2

Dual Fingering (RB = 1.0; RC = 2.0)
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Patmonoaji et al. supplementary movie 3

Rear Dominated Fingering (RB = 1.6; RC = 2.0)
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Patmonoaji et al. supplementary movie 4

Stable (RB = −0.5; RC = −1.0)
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Supplementary material: File

Patmonoaji et al. supplementary material 5

Patmonoaji et al. supplementary material
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