Electroconvective viscous fingering in a single polyelectrolyte fluid on a charge selective surface

Abstract When a low-viscosity fluid displaces into a higher-viscosity fluid, the liquid-liquid interface becomes unstable causing finger-like patterns. This viscous fingering instability has been widely observed in nature and engineering systems with two adjoined fluids. Here, we demonstrate a hithe...

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Main Authors: Jeonghwan Kim, Joonhyeon Kim, Minyoung Kim, Rhokyun Kwak
Format: Article
Language:English
Published: Nature Portfolio 2023-11-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-023-43082-9
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author Jeonghwan Kim
Joonhyeon Kim
Minyoung Kim
Rhokyun Kwak
author_facet Jeonghwan Kim
Joonhyeon Kim
Minyoung Kim
Rhokyun Kwak
author_sort Jeonghwan Kim
collection DOAJ
description Abstract When a low-viscosity fluid displaces into a higher-viscosity fluid, the liquid-liquid interface becomes unstable causing finger-like patterns. This viscous fingering instability has been widely observed in nature and engineering systems with two adjoined fluids. Here, we demonstrate a hitherto-unrealizable viscous fingering in a single fluid-solid interface. In a single polyelectrolyte fluid on a charge selective surface, selective ion rejection through the surface initiates i) stepwise ion concentration and viscosity gradient boundaries in the fluid and ii) electroconvective vortices on the surface. As the vortices grow, the viscosity gradient boundary pushes away from the surface, resulting viscous fingering. Comparable to conventional one with two fluids, i) a viscosity ratio ( $$M$$ M ) governs the onset of this electroconvective viscous fingering, and ii) the boundary properties (finger velocity and rheological effects) - represented by $$M$$ M , electric Rayleigh ( $${{Ra}}_{E}$$ R a E ), Schmidt ( $${Sc}$$ S c ), and Deborah ( $${De}$$ D e ) numbers - determine finger shapes (straight v.s. ramified, the onset length of fingering, and relative finger width). With controllable onset and shape, the mechanism of electroconvective viscous fingering offers new possibilities for manipulating ion transport and dendritic instability in electrochemical systems.
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spelling doaj.art-954bdf9880c1403bac1e1a5b3a0996402023-11-20T09:51:09ZengNature PortfolioNature Communications2041-17232023-11-011411910.1038/s41467-023-43082-9Electroconvective viscous fingering in a single polyelectrolyte fluid on a charge selective surfaceJeonghwan Kim0Joonhyeon Kim1Minyoung Kim2Rhokyun Kwak3Department of Mechanical Convergence Engineering, Hanyang UniversityDepartment of Mechanical Convergence Engineering, Hanyang UniversityDepartment of Chemical Engineering, The Pennsylvania State UniversityDepartment of Mechanical Convergence Engineering, Hanyang UniversityAbstract When a low-viscosity fluid displaces into a higher-viscosity fluid, the liquid-liquid interface becomes unstable causing finger-like patterns. This viscous fingering instability has been widely observed in nature and engineering systems with two adjoined fluids. Here, we demonstrate a hitherto-unrealizable viscous fingering in a single fluid-solid interface. In a single polyelectrolyte fluid on a charge selective surface, selective ion rejection through the surface initiates i) stepwise ion concentration and viscosity gradient boundaries in the fluid and ii) electroconvective vortices on the surface. As the vortices grow, the viscosity gradient boundary pushes away from the surface, resulting viscous fingering. Comparable to conventional one with two fluids, i) a viscosity ratio ( $$M$$ M ) governs the onset of this electroconvective viscous fingering, and ii) the boundary properties (finger velocity and rheological effects) - represented by $$M$$ M , electric Rayleigh ( $${{Ra}}_{E}$$ R a E ), Schmidt ( $${Sc}$$ S c ), and Deborah ( $${De}$$ D e ) numbers - determine finger shapes (straight v.s. ramified, the onset length of fingering, and relative finger width). With controllable onset and shape, the mechanism of electroconvective viscous fingering offers new possibilities for manipulating ion transport and dendritic instability in electrochemical systems.https://doi.org/10.1038/s41467-023-43082-9
spellingShingle Jeonghwan Kim
Joonhyeon Kim
Minyoung Kim
Rhokyun Kwak
Electroconvective viscous fingering in a single polyelectrolyte fluid on a charge selective surface
Nature Communications
title Electroconvective viscous fingering in a single polyelectrolyte fluid on a charge selective surface
title_full Electroconvective viscous fingering in a single polyelectrolyte fluid on a charge selective surface
title_fullStr Electroconvective viscous fingering in a single polyelectrolyte fluid on a charge selective surface
title_full_unstemmed Electroconvective viscous fingering in a single polyelectrolyte fluid on a charge selective surface
title_short Electroconvective viscous fingering in a single polyelectrolyte fluid on a charge selective surface
title_sort electroconvective viscous fingering in a single polyelectrolyte fluid on a charge selective surface
url https://doi.org/10.1038/s41467-023-43082-9
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