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Related papers: Flow equations for dense granular fluids: New insi…

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Under inhomogeneous flow, dense suspensions exhibit complex behaviour that violates the conventional homogenous rheology. Specifically, one finds flowing regions with a macroscopic friction coefficient below the yielding criterion, and…

Fluid Dynamics · Physics 2020-11-04 Jurriaan J. J. Gillissen , Christopher Ness

A non-hydrostatic depth-averaged model for dry granular flows is proposed, taking into account vertical acceleration. A variable friction coefficient based on the $\mu(I)$ rheology is considered. The model is obtained from an asymptotic…

The continuum theory of partially fluidized shear granular flows is tested and calibrated using two dimensional soft particle molecular dynamics simulations. The theory is based on the relaxational dynamics of the order parameter that…

Materials Science · Physics 2009-11-10 D. Volfson , L. S. Tsimring , I. S. Aranson

In spite of many attempts to model dense granular flow, there is still no general theory capable of describing different types of flows, such as gravity-driven drainage in silos and wall-driven shear flows in Couette cells. Here, we…

Soft Condensed Matter · Physics 2009-11-11 Ken Kamrin , Chris H. Rycroft , Martin Z. Bazant

We study the appearance of large-scale dynamical heterogeneities in a simplified model of a driven, dissipative granular system. Simulations of steady-state gravity-driven flows of inelastically colliding hard disks show the formation of…

Soft Condensed Matter · Physics 2009-11-11 Allison Ferguson , Bulbul Chakraborty

The dynamics of the fluid fields in a large class of causal dissipative fluid theories is studied. It is shown that the physical fluid states in these theories must relax (on a time scale that is characteristic of the microscopic particle…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Lee Lindblom

A convenient approach to derive simple expressions for properties of Stokes flows with low levels of slip is presented. The method is based on a series expansion of a Stokes-flow solution (one satisfying a Navier slip boundary condition)…

Fluid Dynamics · Physics 2025-01-28 Duncan A. Lockerby

Motivated by the occurrence in rate functions of time-dependent large-deviation principles, we study a class of non-negative functions $\mathscr L$ that induce a flow, given by $\mathscr L(\rho_t,\dot\rho_t)=0$. We derive necessary and…

Functional Analysis · Mathematics 2018-01-17 Alexander Mielke , D. R. Michiel Renger , Mark A. Peletier

Granular flows through pipes show interesting phenomena, e.g. clogging and density waves, 1/f-noise. These things are fairly good studied by computer-experiments, but there is a lack in theoretical and analytical consideration. We introduce…

Statistical Mechanics · Physics 2008-12-03 T. L. Riethmueller , D. Rosenkranz , L. Schimansky-Geier

We carry out a detailed comparison of soft particle molecular dynamics simulations with the theory of partially fluidized shear granular flows. We verify by direct simulations a constitutive relation based on the separation of the shear…

Soft Condensed Matter · Physics 2007-05-23 Dmitri Volfson , Lev S. Tsimring , Igor S. Aranson

We investigate the steady-state fluid--structure interaction between a Newtonian fluid flow and a deformable microtube in two novel geometric configurations arising in recent microfluidics experiments. The first configuration is a…

Fluid Dynamics · Physics 2022-11-17 Xiaojia Wang , Shrihari D. Pande , Ivan C. Christov

Using both dynamical density functional theory and particle-resolved Brownian dynamics simulations, we explore the flow of two-dimensional colloidal solids and fluids driven through a linear channel with a geometric constriction. The flow…

Soft Condensed Matter · Physics 2016-05-25 Urs Zimmermann , Frank Smallenburg , Hartmut Löwen

Dense granular and suspension flows under inhomogeneous shear exhibit persistent particle motion in regions where the local yield criterion is subcritical, an apparent breakdown of locality that has motivated the development of a generation…

Soft Condensed Matter · Physics 2026-05-08 Martin Trulsson

The flow of frictionless granular particles is studied with stress-controlled discrete element modeling simulations for systems varying in size from 300 to 100,000 particles. The volume fraction and shear stress ratio $\mu$ are relatively…

Soft Condensed Matter · Physics 2022-01-12 A. P. Santos , Ishan Srivastava , Leonardo E. Silbert , Jeremy B. Lechman , Gary S. Grest

A first principles approach to the nonlinear flow of dense suspensions is presented which captures shear thinning of colloidal fluids and dynamical yielding of colloidal glasses. The advection of density fluctuations plays a central role,…

Soft Condensed Matter · Physics 2009-11-07 Matthias Fuchs , Michael E. Cates

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

We report on new patterns in high-speed flows of granular materials obtained by means of extensive numerical simulations. These patterns emerge from the destabilization of unidirectional flows upon increase of mass holdup and inclination…

Soft Condensed Matter · Physics 2015-03-05 Nicolas Brodu , Renaud Delannay , Alexandre Valance , Patrick Richard

We propose a simple continuum model to interpret the shearing motion of dense, dry and cohesion-less granular media. Compressibility, dilatancy and Coulomb-like friction are the three basic ingredients. The granular stress is split into a…

Materials Science · Physics 2009-11-10 Christophe Josserand , Pierre-Yves Lagree , Daniel Lhuillier

Despite there being an infinite variety of types of flow, most rheological studies focus on a single type such as simple shear. Using discrete element simulations, we explore bulk granular systems in a wide range of flow types at large…

Soft Condensed Matter · Physics 2022-01-04 Joel T. Clemmer , Ishan Srivastava , Gary S. Grest , Jeremy B. Lechman

In this work, we show how the rheology of granular suspensions can be related to the properties of the fluctuations of the velocity field inside the medium. In particular, effective Navier-Stokes equations in the different flow regimes are…

Soft Condensed Matter · Physics 2026-03-03 O. Coquand