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We propose an improved effective-medium theory to obtain the concentration dependence of the viscosity of particle suspensions at arbitrary volume fractions. Our methodology can be applied, in principle, to any particle shape as long as the…

Soft Condensed Matter · Physics 2010-06-01 I. Santamaria-Holek , Carlos I. Mendoza

We propose an improved viscosity model accounting for experiments of emulsions of two immiscible liquids at arbitrary volume fractions and low shear rates. The model is based on a recursive-differential method formulated in terms of the…

Soft Condensed Matter · Physics 2009-04-01 Carlos I. Mendoza , I. Santamaria-Holek

We investigate polydispersity effects on the average structure factor of colloidal suspensions of neutral particles with surface adhesion. A sticky hard sphere model alternative to Baxter's one is considered. The choice of factorizable…

Statistical Mechanics · Physics 2009-11-07 Domenico Gazzillo , Achille Giacometti

In this letter, following an extensive experimental validation, we perform constant-volume shearing simulations of non-Brownian granular suspensions using the discrete element method coupled with the lattice Boltzmann method. We choose a…

Soft Condensed Matter · Physics 2023-07-18 Zaohui Zhang , Teng Man , Herbert E. Huppert , Sergio Andres Galindo-Torres

We propose a simple and general model accounting for the dependence of the viscosity of a hard sphere suspension at arbitrary volume fractions. The model constitutes a continuum-medium description based on a recursive-differential method…

Soft Condensed Matter · Physics 2009-11-13 Carlos I. Mendoza , Ivan Santamaria-Holek

The most efficient way to pack equally sized spheres isotropically in 3D is known as the random close packed state, which provides a starting point for many approximations in physics and engineering. However, the particle size distribution…

Soft Condensed Matter · Physics 2010-01-05 Robert S. Farr , Robert D. Groot

The paper studies a higher-order diffusion model of Maxwell-Stefan kind. The model is based upon higher-order moment equations of kinetic theory of mixtures, which include viscous dissipation in the model. Governing equations are analyzed…

Analysis of PDEs · Mathematics 2023-05-16 Bérénice Grec , Srboljub Simic

The generally held view that a model of large-scale structure, formed by collisionless matter in the Universe, can be based on the matter model ``dust'' fails in the presence of multi-stream flow, i.e., velocity dispersion. We argue that…

Astrophysics · Physics 2011-05-23 Thomas Buchert , Alvaro Dominguez

Shear viscosity and wall slip of dense suspensions of a silicone polymer incorporated with polydisperse particles were investigated. Three types of particles with low aspect ratios were used to achieve a relatively high maximum packing…

Soft Condensed Matter · Physics 2018-12-05 Jing He , Stephanie Lee , Dilhan M. Kalyon

Dip-coating consists in withdrawing a substrate from a bath to coat it with a thin liquid layer. This process is well-understood for homogeneous fluids, but heterogeneities such as particles dispersed in the liquid lead to more complex…

Soft Condensed Matter · Physics 2022-03-02 Deok-Hoon Jeong , Michael Ka Ho Lee , Virgile Thiévenaz , Martin Z. Bazant , A. Sauret

The shear viscosities, long-time self-diffusion coefficients, and sedimentation velocities in monodisperse and bidisperse hard-sphere colloidal suspensions are simulated for volume fractions up to 0.40 using multiparticle collision dynamics…

Soft Condensed Matter · Physics 2026-03-02 Michael P. Howard

At the same solid volume fraction, bidisperse and polydisperse suspensions display lower viscosities, and weaker normal stress response, compared to monodisperse suspensions. The reduction of viscosity associated with size distribution can…

Soft Condensed Matter · Physics 2018-03-14 Sidhant Pednekar , Jaehun Chun , Jeffrey Morris

We develop a model to describe the properties of random assemblies of polydisperse hard spheres. We show that the key features to describe the system are (i) the dependence between the free volume of a sphere and the various coordination…

Disordered Systems and Neural Networks · Physics 2015-05-19 Maximilien Danisch , Yuliang Jin , Hernan A. Makse

We compute the first order correction of the effective viscosity for a suspension containing solid particles with arbitrary shapes. We rewrite the computation as an homogenization problem for the Stokes equations in a perforated domain.…

Analysis of PDEs · Mathematics 2019-05-30 Matthieu Hillairet , Di Wu

Fully resolved simulation of flows with buoyant particles is a challenging problem since buoyant particles are lighter than the surrounding fluid, and as a result, the two phases are strongly coupled together. In this work, the virtual…

Fluid Dynamics · Physics 2020-08-05 Vahid Tavanashad , Shankar Subramaniam

We present a two-dimensional (2D) mathematical model of a highly concentrated suspension or a thin film of the rigid inclusions in an incompressible Newtonian fluid. Our objectives are two-fold: (i) to obtain all singular terms in the…

Analysis of PDEs · Mathematics 2007-05-23 Leonid Berlyand , Yuliya Gorb , Alexei Novikov

Discrete simulation methods are efficient tools to investigate the complex behaviors of complex fluids made of either dry granular materials or dilute suspensions. By contrast, materials made of soft and/or concentrated units (emulsions,…

Fluid Dynamics · Physics 2008-12-18 Pierre Rognon , Cyprien Gay

We propose a model to describe the concentration dependence of the viscosity of soft particles. We incorporate in a very simple way the softness of the particles into expressions originally developed for rigid spheres. This is done by…

Soft Condensed Matter · Physics 2012-07-17 Carlos I. Mendoza

Three-dimensional discrete numerical simulation is used to investigate the properties of close-packed frictionless granular assemblies as a function of particle polydispersity and shape. Unlike some experimental results, simulations show…

Soft Condensed Matter · Physics 2017-07-20 Jean-François Camenen , Yannick Descantes

We show that the semi-implicit time discretization approaches previously introduced for multilayer shallow water models for the barotropic case can be also applied to the variable density case with Boussinesq approximation. Furthermore,…

Numerical Analysis · Mathematics 2021-04-27 Luca Bonaventura , José Garres-Díaz
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