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We present a theoretical and numerical study on the (in)stability of the interface between two immiscible liquids, i.e., viscous fingering, in angled Hele-Shaw cells across a range of capillary numbers ($Ca$). We consider two types of…

Fluid Dynamics · Physics 2020-03-06 Daihui Lu , Federico Municchi , Ivan C. Christov

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 present in this paper an experimental study of the invasion activity during unstable drainage in a 2D random porous medium, when the (wetting) displaced fluid has a high viscosity with respect to that of the (non-wetting) displacing…

Disordered Systems and Neural Networks · Physics 2009-11-10 Grunde Lovoll , Yves Meheust , Renaud Toussaint , Jean Schmittbuhl , Knut Jorgen Maloy

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

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 pair of concentric spheres separated by a small gap form a spherical Hele-Shaw cell. In this cell an interfacial instability arises when two immiscible fluids flow. We derive the equation of motion for the interface perturbation…

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

When a less viscous Newtonian fluid displaces an aging aqueous clay suspension in a confined space, a rich array of interfacial patterns emerges due to a predominantly viscous instability. In the present work, we controlled the mechanical…

Soft Condensed Matter · Physics 2025-09-09 Vaibhav Raj Singh Parmar , Ranjini Bandyopadhyay

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

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

A highly sheared dense aqueous suspension of granular cornstarch particles displays rich nonlinear rheology. We had previously demonstrated the growth and onset of interfacial instabilities when shear-thinning cornstarch suspensions were…

Soft Condensed Matter · Physics 2023-03-20 Palak Palak , Vaibhav Raj Singh Parmar , Sayantan Chanda , Ranjini Bandyopadhyay

We present an experimental study of the fingering patterns in a Hele-Shaw cell, occurring when a gel-like material forms at the interface between aqueous solutions of a cationic surfactant cetyltrimethylammonium bromide) and an organic salt…

Pattern Formation and Solitons · Physics 2009-11-13 Thomas Podgorski , Michael C. Sostarecz , Sylvain Zorman , Andrew Belmonte

A circular Hele-Shaw cell bounded by a volumetrically confined elastic solid can act as a fluidic fuse: during radially outward fluid flow, the solid deforms in response to the viscous pressure field such that the gap expands near the inlet…

Fluid Dynamics · Physics 2022-12-15 Gunnar G. Peng , Callum Cuttle , Christopher W. MacMinn , Draga Pihler-Puzovic

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

The complex behaviour of air-liquid interfaces driven into Hele-Shaw channels at high speeds could arise from oscillatory dynamics; yet, both the physical and dynamical mechanisms that lead to interfacial oscillations remain unclear. We…

Fluid Dynamics · Physics 2025-06-03 Jack Lawless , Andrew L. Hazel , Anne Juel

We demonstrate experimentally the existence of a purely elastic fingering instability which arises when air penetrates into an elastomer confined in a Hele-Shaw cell. Fingers appear sequentially and propagate within the bulk of the material…

Soft Condensed Matter · Physics 2016-01-19 Baudouin Saintyves , Olivier Dauchot , Elisabeth Bouchaud

We investigate the convective instability resulting from the dissolution of carbon dioxide (CO$_{2}$) into water in a heterogeneous Hele-Shaw cell utilizing both experimental and numerical approaches. Experiments are conducted in a…

Fluid Dynamics · Physics 2025-04-14 Rima Benhammadi , PAtrice Meunier , Juan J. Hidalgo

We study viscous fingering during drainage experiments in linear Hele-Shaw cells filled with a random porous medium. The central zone of the cell is found to be statistically more occupied than the average, and to have a lateral width of…

Soft Condensed Matter · Physics 2009-11-11 Renaud Toussaint , Grunde Løvoll , Yves Méheust , Knut Jørgen Måløy , Jean Schmittbuhl

In this fluid dynamics video, we study a two-phase flow in an elastic Hele-Shaw cell that involves two distinct fluid- and solid-based instabilities: viscous fingering and sheet buckling. We show that the relative importance of the two…

Fluid Dynamics · Physics 2013-10-14 Draga Pihler-Puzović , Anne Juel , Matthias Heil

We reconsider the radial Saffman-Taylor instability, when a fluid injected from a point source displaces another fluid with a higher viscosity in a Hele-Shaw cell, where the fluids are confined between two neighboring flat plates. The…

Fluid Dynamics · Physics 2014-12-09 Mathias Nagel , François Gallaire

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