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In relation to this article, we declare that there is no conflict of interest.
Publication history
Received November 20, 2025
Accepted April 29, 2026
Available online August 25, 2026
articles This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Most Cited

Diff erent Diff usivity Eff ects on the Radial Viscous Fingering in a Porous Medium: Theoretical Analyses and Numerical Simulations

Department of Chemical Engineering, Jeju National University
mckim@cheju.ac.kr
Korean Journal of Chemical Engineering, August 2026, 43(10), 2817-2838(22)
https://doi.org/10.1007/s11814-026-00736-w

Abstract

The effects of the different diffusivities of the displacing and displaced components on the growth of miscible viscous 

fingering in a radial porous medium are analyzed theoretically and numerically. By considering viscosity profiles determined

by the diffusivity ratio and the log-viscosity parameters, six stability regimes are identified. For each regime, the 

influences of physical parameters on the onset and the growth of the radial viscous fingering are examined using linear 

stability analysis (LSA) and numerical simulations. In the present regime IVU, where viscosity decreases monotonically 

with an inflection point, a new dynamic stability criterion is proposed to explain the instabilities without viscosity mismatch,

and its validity is demonstrated through linear stability analysis (LSA) and numerical simulations. Although the 

system is initially stable, double-diffusive effects render it unstable in the present regime V. Unlike a system with identical 

diffusivities, the Péclet number delays the onset and suppresses the growth of fingering motion in regimes IVU and V. 

Because of the differences in the spatio-temporal domains between the linear stability analysis (LSA) and the numerical 

simulations, visible motion is not observed in the present simulations, particularly for instabilities that grow slowly.

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