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Two laboratory scale experiments of dry and under-water avalanches of non-cohesive granular materials are investigated. We trigger solitary waves and study the conditions under which the front is transversally stable. We show the existence…

Soft Condensed Matter · Physics 2009-11-11 F. Malloggi , J. Lanuza , B. Andreotti , E. Clément

We investigate the dynamics of viscous fingering (VF) in miscible slices in homogeneous, isotropic porous media. The fluid flow is governed by incompressible Darcy's law, whereas the solute transport is described using an…

Fluid Dynamics · Physics 2026-04-13 Mijanur Rahaman , Jiten C. Kalita , Satyajit Pramanik

This study investigates the fingering instability that forms during stretching of capillary suspensions with and without added nanoparticles. The dewetting process is observed using a transparent lifted Hele-Shaw cell. The liquid bridge is…

Soft Condensed Matter · Physics 2025-06-17 Lingyue Liu , Mete Abbot , Philipp Brockmann , Ilia V. Roisman , Jeanette Hussong , Erin Koos

Let the interface between two immiscible fluids in a Hele-Shaw cell have, at t=0, a wedge shape. As a wedge is scale-free, the fluid relaxation dynamics are self-similar. We find the dynamic exponent of this self-similar flow and show that…

Fluid Dynamics · Physics 2009-11-11 Omri Gat , Baruch Meerson , Arkady Vilenkin

Using our exact time-depending solutions, we solve the Saffman-Taylor finger selection problem in the absence of surface tension by showing that an arbitrary interface in a Hele-Shaw cell evolves to a single uniformly advancing finger…

patt-sol · Physics 2009-10-30 Mark Mineev-Weinstein

We study fluid-induced deformation and fracture of cohesive granular media, and apply photoporomechanics to uncover the underpinning grain-scale mechanics. We fabricate photoelastic spherical particles of diameter d=2mm, and make a…

Soft Condensed Matter · Physics 2023-11-29 Yue Meng , Wei Li , Ruben Juanes

To find the regularities of formed fingers in gravity driven coating flows on upper cylinder and sphere, the mathematical formulation to model the fingering instability on cylindrical or spherical surface which consists of a capillary wave…

Fluid Dynamics · Physics 2017-08-14 Shuo Hou

Porous media with hierarchical structures are commonly encountered in both natural and synthetic materials, e.g., fractured rock formations, porous electrodes and fibrous materials, which generally consist of two or more distinguishable…

Soft Condensed Matter · Physics 2020-03-18 Si Suo , Mingchao Liu , Yixiang Gan

We study the issue of the selection of viscous fingering patterns in the limit of small surface tension. Through detailed simulations of anisotropic fingering, we demonstrate conclusively that no selection independent of the small-scale…

Pattern Formation and Solitons · Physics 2009-11-07 David A. Kessler , Herbert Levine

Viscous and gravitational fingering refer to flow instabilities in porous media that are triggered by adverse mobility or density ratios, respectively. These instabilities have been studied extensively in the past for 1) single-phase flow…

Fluid Dynamics · Physics 2016-02-15 Joachim Moortgat

A consistent averaging technique, using the weighted residual integral boundary layer (WRIBL) method, is presented for flow through a thin-gap geometry wherein the fluid's viscosity varies across the gap. In such situations, the flow has a…

Fluid Dynamics · Physics 2022-01-26 Dipin S. Pillai , Jason R. Picardo , R. Narayanan

We study pattern formation during tensile deformation of confined viscoelastic layers. The use of a model system (PDMS with different degrees of crosslinking) allows us to go continuously from a viscous liquid to an elastic solid. We…

Soft Condensed Matter · Physics 2008-08-28 J. Nase , A. Lindner , C. Creton

Our experiments on viscous (Saffman-Taylor) fingering in Hele-Shaw channels reveal finger width fluctuations that were not observed in previous experiments, which had lower aspect ratios and higher capillary numbers Ca. These fluctuations…

Soft Condensed Matter · Physics 2009-11-07 Mitchell G. Moore , Anne Juel , John M. Burgess , W. D. McCormick , Harry L. Swinney

We perform linear stability analyses (LSA) and direct numerical simulations (DNS) to investigate the influence of the dynamic viscosity on viscous fingering (VF) instability in miscible slices. Selecting the characteristic scales…

Fluid Dynamics · Physics 2015-05-26 Satyajit Pramanik , Manoranjan Mishra

Slow and dense granular flows often exhibit narrow shear bands, making them ill-suited for a continuum description. However, smooth granular flows have been shown to occur in specific geometries such as linear shear in the absence of…

Soft Condensed Matter · Physics 2009-11-11 Martin Depken , Martin van Hecke , Wim van Saarloos

An improved wetting boundary implementation strategy is proposed based on lattice Boltzmann color-gradient model in this paper. In this strategy, an extra interface force condition is demonstrated based on the diffuse interface assumption…

Fluid Dynamics · Physics 2017-07-06 Yuan Yu , Haihu Liu , Yonghao Zhang , Dong Liang

A nonlocal interface equation is derived for two-phase fluid flow, with arbitrary wettability and viscosity contrast c=(mu_1-mu_2)/(mu_1+mu_2), in a model porous medium defined as a Hele-Shaw cell with random gap b_0+delta b. Fluctuations…

Statistical Mechanics · Physics 2009-11-07 E. Paune , J. Casademunt

We investigate the development of mobility inversion and fingering when a granular suspension is injected radially between horizontal parallel plates of a cell filled with a miscible fluid. While the suspension spreads uniformly when the…

Fluid Dynamics · Physics 2021-01-01 Arshad Kudrolli , Rausan Jewel , Ram Sudhir Sharma , Alexander P. Petroff

We study the Couette flow of a quasi-2d soft-glassy material in a Hele-Shaw geometry. The material is chosen to be above the jamming point, where a yield stress $\sigma_Y$ emerges, below which the material deforms elastically and above…

Soft Condensed Matter · Physics 2014-10-15 Andrea Scagliarini , Benjamin Dollet , Mauro Sbragaglia

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