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Fingering regimes in unstable miscible displacements
File(s)
1.5128338.pdf (6.25 MB)
Published version
Author(s)
Hamid, SA Abdul
Muggeridge, AH
Type
Journal Article
Abstract
We study the life-cycle of miscible fingering, from the early fingering initiation, through their growth and nonlinear interactions to their decay to a single finger at late times. Dimensionless analysis is used to relate the number of fingers, the nature of their nonlinear interactions (spreading, coalescence, tip splitting), and their eventual decay to the viscosity ratio, transverse Peclet number, and anisotropic dispersion. We show that the initial number of fingers that grow is approximately half that predicted by analytical solutions that neglect the impact of longitudinal diffusion smearing the interface between the injected solvent and the displaced fluid. The growth rates of these fingers are also approximately one quarter that predicted by these analyses. Nonetheless, we find that the dynamics of finger interactions over time can be scaled using the most dangerous wavenumber and associated growth rate determined from linear stability analysis. This subsequently allows us to provide a relationship that can be used to estimate when predict when the late time, single finger regime will occur.
Date Issued
2020-01-08
Date Acceptance
2019-12-19
Citation
Physics of Fluids, 2020, 32 (1), pp.1-18
URI
URL
DOI
ISSN
1070-6631
Publisher
American Institute of Physics
Start Page
1
End Page
18
Journal / Book Title
Physics of Fluids
Volume
32
Issue
1
Copyright Statement
© 2020 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license
(http://creativecommons.org/licenses/by/4.0/).
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000525847200066&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Technology
Physical Sciences
Mechanics
Physics, Fluids & Plasmas
Physics
POROUS-MEDIA
STABILITY
SIMULATION
DISPERSION
DIFFUSION
GROWTH
FLUIDS
ONSET
FLOWS
Publication Status
Published
Article Number
016601
Date Publish Online
2020-01-08