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We investigate mathematical properties of the system of nonlinear partial differential equations that describe, under certain simplifying assumptions, evolutionary processes in water-saturated granular materials. The unconsolidated solid…

Analysis of PDEs · Mathematics 2020-12-30 Anna Abbatiello , Miroslav Bulíček , Tomáš Los , Josef Málek , Ondřej Souček

The flow rate of water through an orifice at the bottom of a container depends on the hydrostatic pressure whereas for a dry granular material is nearly constant. But what happens during the simultaneous discharge of grains and liquid from…

Fluid Dynamics · Physics 2018-04-18 A. M. Cervantes-Álvarez , S. Hidalgo-Caballero , F. Pacheco-Vázquez

Motivated by the need for a theoretical study in a planar geometry that can easily be implemented experimentally, we study the pressure driven Poiseuille flow of a shear banding fluid. After discussing the "basic states" predicted by a one…

Soft Condensed Matter · Physics 2009-09-03 Suzanne M. Fielding , Helen J. Wilson

We measured the vertical pressure response function of a layer of sand submitted to a localized normal force at its surface. We found that this response profile depends on the way the layer has been prepared: all profiles show a single…

Condensed Matter · Physics 2009-11-07 D. Serero , G. Reydellet , P. Claudin , E. Clément , D. Levine

We study the steady flow properties of different three-dimensional aqueous foams in a wide gap Couette geometry. From local velocity measurements through Magnetic Resonance Imaging techniques and from viscosity bifurcation experiments, we…

Soft Condensed Matter · Physics 2011-05-04 Guillaume Ovarlez , Kapil Krishan , Sylvie Cohen-Addad

We experimentally investigate how a long granular pile confined in a narrow channel destabilizes when it is inclined above the angle of repose. A uniform flow then develops, which is localized at the free surface. It first accelerates…

Soft Condensed Matter · Physics 2008-02-06 Pierre Jop , Yoël Forterre , Olivier Pouliquen

We consider active suspensions in the isotropic phase subjected to a shear flow. Using a set of extended hydrodynamic equations we derive a variety of {\em analytical} expressions for rheological quantities such as shear viscosity and…

Soft Condensed Matter · Physics 2015-05-20 Sebastian Heidenreich , Siegfried Hess , Sabine H. L. Klapp

The dynamic shape relaxation of the two-layer-vesicle is calculated. In additional to the undulation relaxation where the two bilayers move in the same direction, the squeezing mode appears when the gap between the two bilayers is small. At…

Soft Condensed Matter · Physics 2015-06-11 C. -Y. David Lu , Shigeyuki Komura , Kazuhiko Seki

The flow of a viscous fluid along a curving pipe of fixed radius is driven by a pressure gradient. For a generally curving pipe it is the fluid flux which is constant along the pipe and so I correct fluid flow solutions of Dean (1928) and…

Pattern Formation and Solitons · Physics 2009-11-10 A. J. Roberts

Dense suspensions have previously been shown to produce a range of anomalous and gravity-defying behaviors when subjected to strong vibrations in the direction of gravity. These behaviors have previously been interpreted via analogies to…

Soft Condensed Matter · Physics 2022-06-29 Xingjian Hou , Joseph D. Peterson

The question when and how dense granular materials start to flow under stress, despite many industrial and geophysical applications, remains largely unresolved. We develop and test a simple equation for the onset of quasi-static flows of…

Soft Condensed Matter · Physics 2023-03-29 Kasra Farain , Daniel Bonn

The Beverloo scaling for the gravity flow of granular materials through orifices has two distinct universal features. On the one hand, the flow rate is independent of the height of the granular column. On the other hand, less well-known yet…

Soft Condensed Matter · Physics 2020-05-15 Marcos A. Madrid , J. R. Darias , Luis A. Pugnaloni

In order to describe behavior of various liquid-like materials at high pressures, incompressible fluid models with pressure dependent viscosity seem to be a suitable choice. In the context of implicit constitutive relations involving the…

Analysis of PDEs · Mathematics 2010-04-08 Miroslav Bulíček , Mohamed Majdoub , Josef Málek

Modeling and simulating overland flow fed by rainfall is a common issue in watershed surface hydrology. Modelers have to choose among various friction models when defining their simulation framework. The purpose of this work is to compare…

Fluid Dynamics · Physics 2016-09-16 G. Kirstetter , J. Hu , O. Delestre , F. Darboux , P. -Y. Lagrée , S. Popinet , J. -M. Fullana , C. Josserand

We describe channel flows in a continuum model of deformable nematic particles. In a simple shear flow, deformability leads to a nonlinear coupling of strain rate and vorticity, and results in shape oscillations or flow alignment. The final…

Soft Condensed Matter · Physics 2025-09-03 Ioannis Hadjifrangiskou , Sumesh P. Thampi , Julia M. Yeomans

We perform a two-dimensional molecular-dynamics study of a model for sheared bidisperse granular systems under conditions of simple shear and Poiseuille flow. We propose a mechanism for particle-size segregation based on the observation…

Condensed Matter · Physics 2009-10-28 Sitangshu Bikas Santra , Stefan Schwarzer , Hans Herrmann

The linear stability of a shear-thinning, viscoelastic fluid undergoing any of the canonical rectilinear shear flows, viz., plane Couette flow and pressure-driven flow through a channel or a tube is analyzed in the creeping-flow limit using…

Fluid Dynamics · Physics 2024-08-05 Ramkarn Patne , Shraddha Mandloi , V. Shankar , Ganesh Subramanian

In this article we consider the 2D Navier-Stokes equations with variable viscosity depending on the vertical position. As our main result we establish linear enhanced dissipation near the non-affine stationary states replacing Couette flow.…

Analysis of PDEs · Mathematics 2021-10-22 Xian Liao , Christian Zillinger

Many soft jammed materials, such as pastes, gels, concentrated emulsions, and suspensions, possess a threshold stress, known as yield stress, that must be exceeded to cause permanent deformation or flow. In rheology, the term plastic flow…

Soft Condensed Matter · Physics 2025-11-03 Yogesh M. Joshi , Alexander Ya. Malkin

A continuum theory of partially fluidized granular flows is developed. The theory is based on a combination of the equations for the flow velocity and shear stresses coupled with the order parameter equation which describes the transition…

Statistical Mechanics · Physics 2016-08-31 Igor S. Aranson , Lev S. Tsimring
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