2019
DOI: 10.1017/jfm.2019.239
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Stability analysis of a particle band on the fluid–fluid interface

Abstract: We present experiments and theory for viscous fingering of a suspension of non-colloidal particles undergoing radial flow in a Hele-Shaw cell. As the suspension displaces air, shear-induced migration causes particles to move faster than the average suspension velocity and to accumulate on the suspension–air interface. The resultant particle accumulation generates a pattern in which low-concentration, low-viscosity suspension displaces high-concentration, high-viscosity suspension and is unstable due to the cla… Show more

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Cited by 13 publications
(7 citation statements)
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“…In addition to allowing measurements of otherwise inaccessible quantities in the mono-disperse case, our 3-D tracking method has the advantage of convenient extension to the case of bi-disperse or poly-disperse suspensions, as particle size can be determined easily during the optical reconstruction. Owing to the presence of the channel walls, which prevent particle overlap, the present experimental findings are also relevant to natural problems involving particle suspension in high confinement, such as thin films (Hooshanginejad, Druecke & Lee 2019) or porous media (Mirbod & Shapley 2023). Furthermore, as a consequence of the standard manufacturing methods, duct-like channels are extremely common in microfluidics.…”
Section: Discussionmentioning
confidence: 87%
“…In addition to allowing measurements of otherwise inaccessible quantities in the mono-disperse case, our 3-D tracking method has the advantage of convenient extension to the case of bi-disperse or poly-disperse suspensions, as particle size can be determined easily during the optical reconstruction. Owing to the presence of the channel walls, which prevent particle overlap, the present experimental findings are also relevant to natural problems involving particle suspension in high confinement, such as thin films (Hooshanginejad, Druecke & Lee 2019) or porous media (Mirbod & Shapley 2023). Furthermore, as a consequence of the standard manufacturing methods, duct-like channels are extremely common in microfluidics.…”
Section: Discussionmentioning
confidence: 87%
“…It causes certain fingering characteristics according to granular properties. Particle phase viscosity arises due to friction between particles and has been used to explain the formation of fingerings when granular particles are deposited in a liquid [4,6,18].…”
Section: Literature Review and Problem Statementmentioning
confidence: 99%
“…The granular fluid interaction produces a concentration. Low viscosity suspensions replace high concentration, and high viscosity suspensions and are unstable because of the instability mechanism [4]. The instability in interactions between fluids can develop in several forms [5].…”
Section: Introductionmentioning
confidence: 99%
“…(2016) experimentally characterised fingering patterns for varying particle volume fractions. They also successfully validated the effects of shear-induced migration that leads to the accumulation of particles on the advancing oil–air interface, which was followed by the exploration of the role of channel confinement (Kim, Xu & Lee 2017) and linear stability analysis to predict the critical wavenumber (Hooshanginejad, Druecke & Lee 2019).…”
Section: Introductionmentioning
confidence: 98%