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Related papers: Bulk elastic fingering instability in Hele-Shaw ce…

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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 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 report experimental results on the dynamics of large bubbles in a Hele-Shaw cell subject to various inclination angles with respect to gravity. Low Reynolds number cases are studied by injecting bubbles in an stagnant water/UCON mixture…

Fluid Dynamics · Physics 2024-07-22 Benjamin Monnet , J. John Soundar Jerome , Valérie Vidal , Sylvain Joubaud

The results from a series of well characterised, unstable, miscible displacement experiments in a Hele Shaw cell with a quarter five-spot source-sink geometry are presented, with comparisons to detailed numerical simulation. We perform…

Fluid Dynamics · Physics 2021-11-15 Daniel Keable , Alistair Jones , Samuel Krevor , Ann Muggeridge , Samuel J. Jackson

Granular materials constitute an intermediate state of matter between fluids and solids. Here we investigate the pattern formation when a grain is displaced by another type of grain in a radial Hele-Shaw cell. We show that several…

Statistical Mechanics · Physics 2009-09-25 M. S. Couto , M. L. Martins , S. G. Alves

Liquid foam flows in a Hele-Shaw cell were investigated. The plug flow obtained for a monodisperse foam is strongly perturbed in the presence of bubbles whose size is larger than the average bubble size by an order of magnitude at least.…

Soft Condensed Matter · Physics 2007-05-23 Isabelle Cantat , Celine Poloni , Renaud Delannay

We study the behaviour of a thin fluid filament (a rivulet) flowing in an air-filled Hele-Shaw cell. Transverse and longitudinal deformations can propagate on this rivulet, although both are linearly attenuated in the parameter range we…

Fluid Dynamics · Physics 2026-02-02 Grégoire Le Lay , Adrian Daerr

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 steady-state oscillations of an elastic Hele-Shaw cell excited by traveling pressure waves over its upper surface. The fluid within the cell is bounded by two asymmetric elastic sheets which are connected to a rigid surface via…

Fluid Dynamics · Physics 2017-04-12 Arie Tulchinsky , Amir D. Gat

We assess experimentally the scaling laws that characterize the mixing region produced by the Rayleigh-Taylor instability in a confined porous medium. In particular, we wish to assess experimentally the existence of a superlinear scaling…

Fluid Dynamics · Physics 2024-08-02 Marco De Paoli , Diego Perissutti , Cristian Marchioli , Alfredo Soldati

We analyze experimental data on double diffusive convection in an electrochemical cell in the finger regime. All fingers in the experiments are bounded on at least one end by a solid wall. The properties of these fingers are compared with…

Fluid Dynamics · Physics 2025-02-19 A. Rosenthal , A. Tilgner

In this study, thin elastic films supported on a rigid substrate are brought into contact with a spherical glass indenter. Upon contact, adhesive fingers emerge at the periphery of the contact patch with a characteristic wavelength. Elastic…

Soft Condensed Matter · Physics 2018-04-02 Benjamin Davis-Purcell , Pierre Soulard , Thomas Salez , Elie Raphael , Kari Dalnoki-Veress

We study the transient dynamics of a viscous liquid contained in a narrow gap between a rigid surface and a parallel elastic plate. The elastic plate is deformed due to an externally applied time-varying pressure-field. We model the…

Fluid Dynamics · Physics 2017-05-16 Arie Tulchinsky , Amir D. Gat

The number of splashed fingers generated by a solid projectile's impact onto a viscous liquid layer is experimentally studied. A steel sphere is dropped onto a viscous liquid pool. Then, a fingering instability occurs around the crater's…

Fluid Dynamics · Physics 2015-06-11 H. Katsuragi

We examine the effect of a kinetic undercooling condition on the evolution of a free boundary in Hele--Shaw flow, in both bubble and channel geometries. We present analytical and numerical evidence that the bubble boundary is unstable and…

Fluid Dynamics · Physics 2019-02-20 Michael C. Dallaston , Scott W. McCue

With the Lattice Boltzmann method (using the BGK approximation) we investigate the dynamics of Hele-Shaw flow under conditions corresponding to various experimental systems. We discuss the onset of the instability (dispersion relation), the…

Statistical Mechanics · Physics 2009-11-07 Patrick Grosfils , Jean Pierre Boon

The rise of a single bubble confined between two vertical plates is investigated over a wide range of Reynolds numbers. In particular, we focus on the evolution of the bubble speed, aspect ratio and drag coefficient during the transition…

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

An adhesively stressed thin film of a soft hydrogel confined between two rigid flat substrates auto-roughens with its dominant wavelength exhibiting pronounced dependence on the film thickness (H). A linear stability analysis confirmed that…

Soft Condensed Matter · Physics 2014-01-29 Aditi Chakrabarti , Manoj K. Chaudhury

Using a recently derived filament model, the stability of fluid filaments in Hele-Shaw cells, driven by a constant pressure gradient, is studied. It is found that thin circular filaments grow if their initial radius exceeds a dimensionless…

Fluid Dynamics · Physics 2026-04-14 Nitay Ben-Shachar , Michael C. Dallaston , Scott W. McCue
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