Imperial College London
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ProfessorAnnMuggeridge

Faculty of Engineering, Department of Earth Science & Engineering

Consul for Faculty of Engineering and the Business School
 
 
 
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Contact

 

+44 (0)20 7594 7379a.muggeridge Website

 
 
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Location

 

2.38BRoyal School of MinesSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Hamid:2020:10.1063/1.5128338,
author = {Hamid, SAA and Muggeridge, AH},
doi = {10.1063/1.5128338},
journal = {Physics of Fluids},
pages = {1--18},
title = {Fingering regimes in unstable miscible displacements},
url = {http://dx.doi.org/10.1063/1.5128338},
volume = {32},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Hamid,SAA
AU  - Muggeridge,AH
DO  - 10.1063/1.5128338
EP  - 18
PY  - 2020///
SN  - 1070-6631
SP  - 1
TI  - Fingering regimes in unstable miscible displacements
T2  - Physics of Fluids
UR  - http://dx.doi.org/10.1063/1.5128338
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000525847200066&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://aip.scitation.org/doi/10.1063/1.5128338
UR  - http://hdl.handle.net/10044/1/83690
VL  - 32
ER  -
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