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In this paper, the interfacial motion between two immiscible viscous fluids in the confined geometry of a Hele-Shaw cell is studied. We consider the influence of a thin wetting film trailing behind the displaced fluid, which dynamically…

Fluid Dynamics · Physics 2021-06-16 Pedro H. A. Anjos , M. Zhao , J. Lowengrub , Weizhu Bao , Shuwang Li

The rheology of 2D steady surface flow of cohesionless cylinders in a rotating drum is investigated through {\em Non Smooth Contact Dynamics} simulations. Profile of volume fraction, translational and angular velocity, rms velocity, strain…

Soft Condensed Matter · Physics 2007-05-23 Mathieu Renouf , Daniel Bonamy , Frederic Dubois , Pierre Alart

Under steady shear, a foam relaxes stress through intermittent rearrangements of bubbles accompanied by sudden drops in the stored elastic energy. We use a simple model of foam that incorporates both elasticity and dissipation to study the…

We study the forced fluid invasion of an air-filled model porous medium at constant flow rate, in 1+1 dimensions, both experimentally and theoretically. We focus on the non-local character of the interface dynamics, due to liquid…

Condensed Matter · Physics 2009-11-07 A. Hernandez-Machado , J. Soriano , A. M. Lacasta , M. A. Rodriguez , L. Ramirez-Piscina , J. Ortin

The dynamics and rheology of suspensions of fluid vesicles or red blood cells is investigated by a combination of molecular dynamics and mesoscale hydrodynamics simulations in two dimensions. The vesicle suspension is confined between two…

Soft Condensed Matter · Physics 2013-05-03 A. Lamura , G. Gompper

Dynamics of a single vesicle under shear flow between two parallel plates is studied using two-dimensional lattice-Boltzmann simulations. We first present how we adapted the lattice-Boltzmann method to simulate vesicle dynamics, using an…

Soft Condensed Matter · Physics 2011-09-16 Badr Kaoui , Jens Harting , Chaouqi Misbah

We study the rheology of a suspension of soft deformable droplets subjected to a pressure-driven flow. Through computer simulations, we measure the apparent viscosity as a function of droplet concentration and pressure gradient, and provide…

Soft Condensed Matter · Physics 2017-11-22 M. Foglino , A. N. Morozov , O. Henrich , D. Marenduzzo

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

Motivated by the variety of applications in which nematic Hele-Shaw flow occurs, a theoretical model for Hele-Shaw flow of a nematic liquid crystal is formulated and analysed. We derive the thin-film Ericksen-Leslie equations that govern…

Soft Condensed Matter · Physics 2024-09-10 Joseph R. L. Cousins , Nigel J. Mottram , Stephen K. Wilson

We present an experimental study of the rheology and structure of a confined suspension of deformable particles flowing in a quasi-two-dimensional Poiseuille flow. Thanks to a precise microfluidic viscosimetry technique combined with…

Soft Condensed Matter · Physics 2022-04-27 Vassanti Audemar , Thomas Podgorski , Gwennou Coupier

A hierarchy of mathematical models describing viscosity-stratified flow in a Hele-Shaw cell is constructed. Numerical modelling of jet flow and development of viscous fingers with the influence of inertia and friction is carried out.…

Fluid Dynamics · Physics 2016-03-22 Alexander Chesnokov , Valery Liapidevskii

The nonlinear rheological response of soft glassy materials is addressed experimentally by focusing on concentrated emulsions where interdroplet attraction is tuned through varying the surfactant content. Velocity profiles are recorded…

Soft Condensed Matter · Physics 2009-11-11 L. Becu , S. Manneville , A. Colin

The soft-disk model previously developed and applied by Durian [D. J. Durian, Phys. Rev. Lett. 75, 4780 (1995)] is brought to bear on problems of foam rheology of longstanding and current interest, using two-dimensional systems. The…

Soft Condensed Matter · Physics 2018-03-29 Vincent J. Langlois , Stefan Hutzler , Denis Weaire

We consider a model of congestion dynamics with chemotaxis, where the density of cells follows the chemical signal it generates, while observing an incompressibility constraint. We show that when the chemical diffuses slowly and attracts…

Analysis of PDEs · Mathematics 2022-04-27 Inwon Kim , Antoine Mellet , Yijing Wu

Viscoelastic fluid flows in narrow non-uniform geometries are ubiquitous in various engineering applications and physiological flow systems. For such flows, one of the key interests is understanding how fluid viscoelasticity affects the…

Fluid Dynamics · Physics 2025-10-09 Yali Kedem , Bimalendu Mahapatra , Evgeniy Boyko

We analyze the flow of a liquid foam between two plates separated by a gap of the order of the bubble size (2D foam). We concentrate on the salient features of the flow that are induced by the presence, in an otherwise monodisperse foam, of…

Soft Condensed Matter · Physics 2009-11-11 Isabelle Cantat , Renaud Delannay

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…

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

As an experimental model to mimic the flow of bio-fluids in the cell and the flow in tiny blood capillaries, we study the co-moving shear flow of dilute polymeric solutions. An inflection point shear flow profile is created by parallel…

Fluid Dynamics · Physics 2025-10-09 Jimreeves David M

Rheology of macroscopic particle-laden interfaces, called "Granular Rafts" has been experimentally studied, in the simple shear configuration. The shear-stress relation obtained from a classical rheometer exhibits the same behavior as a…

Soft Condensed Matter · Physics 2023-07-12 J. Lalieu , A. Seguin , G. Gauthier