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Article

Fluid Morphologies Governed by the Competition of Viscous Dissipation and Phase Separation in a Radial Hele-Shaw Flow

1
Department of Chemical Engineering, Tokyo University of Agriculture and Technology, Nakacho 2-24-16, Koganei, Tokyo 184-8588, Japan
2
Department of Mathematics, Indian Institute of Technology Roper, Rupnagar 140001, India
3
Division of Chemical Engineering, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Machikaneyamacho 1-3, Toyonaka, Osaka 560-8531, Japan
*
Author to whom correspondence should be addressed.
Coatings 2020, 10(10), 960; https://doi.org/10.3390/coatings10100960
Received: 16 September 2020 / Revised: 30 September 2020 / Accepted: 1 October 2020 / Published: 6 October 2020
(This article belongs to the Special Issue Fluid Interfaces)
The displacement of a less viscous fluid by a more viscous fluid in a radial Hele-Shaw cell makes a circular pattern because the interface is hydrodynamically stable in this condition. Very recently, it has been experimentally reported that the hydrodynamically stable displacement in a partially miscible system induces fingering patterns while stable circular patterns are made at fully miscible and immiscible systems. The fingering instability in the partially miscible system results from complex and entangled elements involving viscous dissipation, molecular diffusion, and phase separation. The analyzing mechanism requires a quantitative relationship between the hydrodynamic interfacial fingering patterns and underlying physicochemical properties. Here, we experimentally investigated the change in fluid patterns formed by the progression of phase separation in the partially miscible systems and categorized them into three patterns: finger-like pattern, annular-like pattern, and circular pattern. Moreover, we propose the mechanism of the pattern formation by an interfacial tension measurement and evaluate the patterns by modified capillary number and newly defined body force ratio, Bf. Our analysis revealed that the deformation index of the pattern can be expressed as a function of Bf on a single curve regardless of the miscibility. View Full-Text
Keywords: fluid displacement; inverse Saffman–Taylor instability; partially miscible; Korteweg force fluid displacement; inverse Saffman–Taylor instability; partially miscible; Korteweg force
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MDPI and ACS Style

Suzuki, R.X.; Takeda, R.; Nagatsu, Y.; Mishra, M.; Ban, T. Fluid Morphologies Governed by the Competition of Viscous Dissipation and Phase Separation in a Radial Hele-Shaw Flow. Coatings 2020, 10, 960. https://doi.org/10.3390/coatings10100960

AMA Style

Suzuki RX, Takeda R, Nagatsu Y, Mishra M, Ban T. Fluid Morphologies Governed by the Competition of Viscous Dissipation and Phase Separation in a Radial Hele-Shaw Flow. Coatings. 2020; 10(10):960. https://doi.org/10.3390/coatings10100960

Chicago/Turabian Style

Suzuki, Ryuta X., Risa Takeda, Yuichiro Nagatsu, Manoranjan Mishra, and Takahiko Ban. 2020. "Fluid Morphologies Governed by the Competition of Viscous Dissipation and Phase Separation in a Radial Hele-Shaw Flow" Coatings 10, no. 10: 960. https://doi.org/10.3390/coatings10100960

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