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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

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

We explore air invasion in an initially water-filled dead-end compliant microchannel containing a constriction. The phenomenon is driven by the pervaporation of the liquid present in the channel through the surrounding medium. The…

Fluid Dynamics · Physics 2022-10-11 Ludovic Keiser , Philippe Marmottant , Benjamin Dollet

We conduct a theoretical study of a two-phase-fluid-structure interaction problem in which air is driven at constant volume flux into a liquid-filled Hele-Shaw channel whose upper boundary is an elastic sheet. A depth-averaged model in the…

Fluid Dynamics · Physics 2021-04-28 J. V. Fontana , A. Juel , N. Bergemann , M. Heil , A. L. Hazel

Viscous fingering is a well-known hydrodynamic instability that sets in when a less viscous fluid displaces a more viscous fluid. When the two fluids are miscible, viscous fingering introduces disorder in the velocity field and exerts a…

Fluid Dynamics · Physics 2015-03-17 Birendra Jha , Luis Cueto-Felgueroso , Ruben Juanes

We investigate the stabilization mechanisms of the invasion front in two-dimensional drainage displacement in porous media by using a network simulator. We focus on the process when the front stabilizes due to the viscous forces in the…

Fluid Dynamics · Physics 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen

The viscous fingering instability, which forms when a less-viscous fluid invades a more-viscous one within a confined geometry, is an iconic system for studying pattern formation. For both miscible and immiscible fluid pairs the growth…

Fluid Dynamics · Physics 2025-02-25 Savannah D. Gowen , Thomas E. Videbaek , Sidney R. Nagel

We investigate the formation of fingered flow in dry granular media under simulated rainfall using a quasi-2D experimental set-up composed of a random close packing of mono-disperse glass beads. Using controlled experiments, we analyze the…

Soft Condensed Matter · Physics 2014-10-30 Cesare M. Cejas , Yuli Wei , Remi Barrois , Christian Fretigny , Douglas J. Durian , Remi Dreyfus

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

Motivated by the reopening mechanics of strongly collapsed airways, we study the steady propagation of an air finger through a collapsed oil-filled channel with a single compliant wall. In a previous study using fully-compliant elastic…

Fluid Dynamics · Physics 2017-05-24 Lucie Ducloué , Andrew L. Hazel , Alice B. Thompson , Anne Juel

Viscous fingering patterns can form at the interface between two immiscible fluids confined in the gap between a pair of flat plates; whenever the fluid with lower viscosity displaces the one of higher viscosity the interface is unstable.…

Fluid Dynamics · Physics 2019-04-03 Thomas E. Videbæk , Sidney R. Nagel

The displacement of a viscous liquid by air in the narrow gap between two parallel plates - a Hele-Shaw channel - is an exemplar of complex pattern formation. Typically, bubbles or fingers of air propagate steadily at low values of the…

Fluid Dynamics · Physics 2024-03-01 Jack Lawless , Andrew L. Hazel , Anne Juel

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

Using experiments and a depth-averaged numerical model, we study instabilities of two-phase flows in a Hele-Shaw channel with an elastic upper boundary and a non-uniform cross-section prescribed by initial collapse. Experimentally, we find…

Fluid Dynamics · Physics 2024-03-04 J. V. Fontana , C. Cuttle , D. Pihler-Puzovic , A. L. Hazel , A. Juel

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…

Using air to displace a viscous fluid contained in Hele-Shaw cell can create a fingering pattern at the interface between the fluids, if the capillary number exceeds a critical value. This Saffman-Taylor instability is revisited for the…

Fluid Dynamics · Physics 2016-08-03 Ilyesse Bihi , Michael Baudoin , Jason E. Butler , Christine Faille , Farzam Zoueshtiagh

We investigate the behavior of drainage displacements in heterogeneous porous media finding a transition from viscous fingering to foam-like region. A pore network model incorporating the formation of blobs is adopted to study this…

Soft Condensed Matter · Physics 2023-07-26 Federico Lanza , Santanu Sinha , Alex Hansen , Alberto Rosso , Laurent Talon

We study experimentally the propagation of an air finger through the Y-bifurcation of an elastic, liquid-filled Hele-Shaw channel, as a benchtop model of airway reopening. With channel compliance provided by an elastic upper boundary, we…

Fluid Dynamics · Physics 2022-07-18 Haolin Li , Anne Juel , Finn Box , Draga Pihler-Puzovic

The displacement of a more viscous fluid by a less viscous immiscible fluid in confined geometries is a fundamental problem in multiphase flows. Recent experiments have shown that such fluid-fluid displacement in micro-capillary tubes can…

Fluid Dynamics · Physics 2025-12-01 Sthavishtha R. Bhopalam , Ruben Juanes , Hector Gomez

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
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