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Growing Interface with Phase Separation and Spontaneous Convection during Hydrodynamically Stable Displacement

The displacement of one fluid by another is an important process, not only in industrial and environmental fields, such as chromatography, enhanced oil recovery, and CO(2) sequestration, but also material processing, such as Lost Foam Casting. Even during hydrodynamically stable fluid displacement w...

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Autores principales: Ban, Takahiko, Tanaka, Ryohei, Suzuki, Ryuta X., Nagatsu, Yuichiro
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8539327/
https://www.ncbi.nlm.nih.gov/pubmed/34683682
http://dx.doi.org/10.3390/ma14206089
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author Ban, Takahiko
Tanaka, Ryohei
Suzuki, Ryuta X.
Nagatsu, Yuichiro
author_facet Ban, Takahiko
Tanaka, Ryohei
Suzuki, Ryuta X.
Nagatsu, Yuichiro
author_sort Ban, Takahiko
collection PubMed
description The displacement of one fluid by another is an important process, not only in industrial and environmental fields, such as chromatography, enhanced oil recovery, and CO(2) sequestration, but also material processing, such as Lost Foam Casting. Even during hydrodynamically stable fluid displacement where a more viscous fluid displaces a less viscous fluid in porous media or in Hele-Shaw cells, the growing interface fluctuates slightly. This fluctuation is attributed to thermodynamic conditions, which can be categorized as the following systems: fully miscible, partially miscible, and immiscible. The dynamics of these three systems differ significantly. Here, we analyze interfacial fluctuations under the three systems using Family–Vicsek scaling and calculate the scaling indexes. We discovered that the roughness exponent, [Formula: see text] , and growth exponent, [Formula: see text] , of the partially miscible case are larger than those of the immiscible and fully miscible cases due to the effects of the Korteweg convection as induced during phase separation. Moreover, it is confirmed that fluctuations in all systems with steady values of [Formula: see text] and [Formula: see text] are represented as a single curve, which implies that accurate predictions for the growing interface with fluctuations in Hele-Shaw flows can be accomplished at any scale and time, regardless of the miscibility conditions.
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spelling pubmed-85393272021-10-24 Growing Interface with Phase Separation and Spontaneous Convection during Hydrodynamically Stable Displacement Ban, Takahiko Tanaka, Ryohei Suzuki, Ryuta X. Nagatsu, Yuichiro Materials (Basel) Article The displacement of one fluid by another is an important process, not only in industrial and environmental fields, such as chromatography, enhanced oil recovery, and CO(2) sequestration, but also material processing, such as Lost Foam Casting. Even during hydrodynamically stable fluid displacement where a more viscous fluid displaces a less viscous fluid in porous media or in Hele-Shaw cells, the growing interface fluctuates slightly. This fluctuation is attributed to thermodynamic conditions, which can be categorized as the following systems: fully miscible, partially miscible, and immiscible. The dynamics of these three systems differ significantly. Here, we analyze interfacial fluctuations under the three systems using Family–Vicsek scaling and calculate the scaling indexes. We discovered that the roughness exponent, [Formula: see text] , and growth exponent, [Formula: see text] , of the partially miscible case are larger than those of the immiscible and fully miscible cases due to the effects of the Korteweg convection as induced during phase separation. Moreover, it is confirmed that fluctuations in all systems with steady values of [Formula: see text] and [Formula: see text] are represented as a single curve, which implies that accurate predictions for the growing interface with fluctuations in Hele-Shaw flows can be accomplished at any scale and time, regardless of the miscibility conditions. MDPI 2021-10-14 /pmc/articles/PMC8539327/ /pubmed/34683682 http://dx.doi.org/10.3390/ma14206089 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Ban, Takahiko
Tanaka, Ryohei
Suzuki, Ryuta X.
Nagatsu, Yuichiro
Growing Interface with Phase Separation and Spontaneous Convection during Hydrodynamically Stable Displacement
title Growing Interface with Phase Separation and Spontaneous Convection during Hydrodynamically Stable Displacement
title_full Growing Interface with Phase Separation and Spontaneous Convection during Hydrodynamically Stable Displacement
title_fullStr Growing Interface with Phase Separation and Spontaneous Convection during Hydrodynamically Stable Displacement
title_full_unstemmed Growing Interface with Phase Separation and Spontaneous Convection during Hydrodynamically Stable Displacement
title_short Growing Interface with Phase Separation and Spontaneous Convection during Hydrodynamically Stable Displacement
title_sort growing interface with phase separation and spontaneous convection during hydrodynamically stable displacement
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8539327/
https://www.ncbi.nlm.nih.gov/pubmed/34683682
http://dx.doi.org/10.3390/ma14206089
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