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Viscous fingering occurs in the flow of two immiscible, viscous fluids between the plates of a Hele-Shaw cell. Due to pressure gradients or gravity, the initially planar interface separating the two fluids undergoes a Saffman-Taylor…

Soft Condensed Matter · Physics 2009-10-31 Michael Widom , Jose A. Miranda

The injection of a fluid into another of larger viscosity in a Hele-Shaw cell usually results in the formation of highly branched patterns. Despite the richness of these structures, in many practical situations such convoluted shapes are…

Soft Condensed Matter · Physics 2010-12-14 Eduardo O. Dias , Fernando Parisio , Jose A. Miranda

A rest fluid displaced by a less viscous fluid in a porous medium triggers the so-called Saffman-Taylor instability at their contact front and hence forms complicated finger-like patterns. When the two fluids are miscible, the surface…

Fluid Dynamics · Physics 2018-09-26 Lang Xia

We show that a minimal model for viscous fingering with a nematic liquid crystal in which anisotropy is considered to enter through two different viscosities in two perpendicular directions can be mapped to a two-fold anisotropy in the…

Soft Condensed Matter · Physics 2009-10-31 R. Folch , J. Casademunt , A. Hernandez-Machado

When a more mobile fluid displaces another immiscible one in a porous medium, viscous fingering propagates with a partial sweep, which hinders oil recovery and soil remedy. We experimentally investigate the feasibility of tuning such…

Fluid Dynamics · Physics 2018-07-04 Gregoire Bongrand , Peichun Amy Tsai

The process of one fluid pushing another is universally common while involving complex interfacial instabilities. Particularly, occurring in a myriad of natural and industrial processes, wavy fingering patterns frequently emerge when a less…

Fluid Dynamics · Physics 2022-05-18 Alban Pouplard , Peichun Amy Tsai

We investigate the viscous fingering instability that arises when air is injected from the end of an oil-filled, compliant channel. We show that induced axial and transverse depth gradients foster novel pattern formation. Moreover, the…

Fluid Dynamics · Physics 2017-10-11 Lucie Ducloue , Andrew Hazel , Draga Pihler-Puzovic , Anne Juel

We introduce applied shear as a method to control viscous fingering by smoothing the interface between miscible fluids. In the viscous fingering instability, a less viscous fluid displaces a more viscous one through the formation of…

Fluid Dynamics · Physics 2025-08-12 Zhaoning Liu , Samar Alqatari , Thomas E. Videbæk , Sidney R. Nagel

We explore the interfacial instability that results when a Newtonian fluid (a glycerol-water mixture, inner fluid) displaces a viscoelastic fluid (a dense cornstarch suspension, outer fluid) in a radial Hele-Shaw cell. As the ratio of…

Soft Condensed Matter · Physics 2022-10-18 Palak , Rahul Sathyanath , Sreeram K. Kalpathy , Ranjini Bandyopadhyay

Traditional mathematical models of Hele--Shaw flow consider the injection (or withdrawal) of an air bubble into (or from) an infinite body of viscous fluid. The most commonly studied feature of such a model is how the Saffman-Taylor…

Fluid Dynamics · Physics 2023-01-19 Liam C. Morrow , Nicolas De Cock , Scott W. McCue

The growth dynamics of an air finger injected in a visco-elastic gel (a PVA/borax aqueous solution) is studied in a linear Hele-Shaw cell. Besides the standard Saffmann-Taylor instability, we observe - with increasing finger velocities -…

Soft Condensed Matter · Physics 2009-11-07 N. Puff , G. Debregeas , J. -M. di Meglio , D. Higgins , C. Wagner , D. Bonn

Viscous flows in a quasi-two-dimensional Hele-Shaw geometry can lead to an interfacial instability when one fluid, of viscosity $\eta_{in}$ displaces another of higher viscosity, $\eta_{out}$. Recent studies have shown that there is a delay…

Soft Condensed Matter · Physics 2017-04-11 Radha Ramachandran

We present a novel flow instability that can arise in thin films of cytoskeletal fluids if the friction with the substrate on which the film lies is sufficiently strong. We consider a two dimensional, membrane-bound fragment containing…

Soft Condensed Matter · Physics 2009-11-13 A. C. Callan-Jones , J. -F. Joanny , J. Prost

When a fluid is pumped into a cavity in a confined elastic layer, at a critical pressure, destabilizing fingers of fluid invade the elastic solid along its meniscus (Saintyves, Dauchot, and Bouchaud, 2013). These fingers occur without…

Soft Condensed Matter · Physics 2015-06-11 J. S. Biggins , Z. Wei , L. Mahadevan

Time-dependent injection strategies are commonly employed to control the number of viscous fingers emerging at the interface separating two fluids during radial displacement in Hele-Shaw flows. Here we demonstrate theoretically that such a…

Fluid Dynamics · Physics 2021-11-08 Pedro H. A. Anjos , Meng Zhao , John Lowengrub , Shuwang Li

We study viscous fingering of an air-nematic interface in a radial Hele-Shaw cell when periodically switching on and off an electric field, which reorients the nematic and thus changes its viscosity, as well as the surface tension and its…

Soft Condensed Matter · Physics 2009-10-31 R. Folch , T. Tóth-Katona , Á. Buka , J. Casademunt , A. Hernández-Machado

We experimentally study the viscous fingering instability in a fluid-fluid phase separated colloid-polymer mixture by means of laser scanning confocal microscopy and microfluidics. We focus on three aspects of the instability. (i) The…

The Saffman-Taylor viscous fingering instability occurs when a less viscous fluid displaces a more viscous one between narrowly spaced parallel plates in a Hele-Shaw cell. Experiments in radial flow geometry form fan-like patterns, in which…

Soft Condensed Matter · Physics 2009-10-30 Jose A. Miranda , Michael Widom

A thin water film on a cleaved mica substrate undergoes a first order phase transition between two values of film thickness. By inducing a finite evaporation rate of the water, the interface between the two phases develops a fingering…

Soft Condensed Matter · Physics 2009-11-13 Oded Agam

The displacement of a viscous fluid by an air bubble in the narrow gap between two parallel plates can readily drive complex interfacial pattern formation known as viscous fingering. We focus on a modified system suggested recently by [1],…

Pattern Formation and Solitons · Physics 2019-03-06 Christian Vaquero-Stainer , Matthias Heil , Anne Juel , Draga Pihler-Puzovic
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