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In a previous work [math.AP/0305408] three of us have studied a nonlinear parabolic equation arising in the mesoscopic modelling of concentrated suspensions of particles that are subjected to a given time-dependent shear rate. In the…

Analysis of PDEs · Mathematics 2007-05-23 Eric Cancès , Isabelle Catto , Yousra Gati , Claude Le Bris

We propose a unifying rheological framework for dense suspensions of non-Brownian spheres, predicting the onsets of particle friction and particle inertia as distinct shear thickening mechanisms, while capturing quasistatic and soft…

Soft Condensed Matter · Physics 2015-11-13 Christopher Ness , Jin Sun

Through high-fidelity numerical simulation, the simple shear flow over regularly arranged micro pillars has been investigated. The essential issues to be addressed include the characteristics of a simple shear flow over quadrilateral array…

Fluid Dynamics · Physics 2022-03-14 Yanxing Wang , Hui Wan , Tie Wei , Fangjun Shu

Using confocal-microscopy we investigate the structure of binary mixtures of colloidal hard spheres with size ratio q=0.61. As a function of the packing fraction of the two particle species, we observe a marked change of the dominant…

Soft Condensed Matter · Physics 2007-10-04 Jörg Baumgartl , Roel P. A. Dullens , Marjolein Dijkstra , Roland Roth , Clemens Bechinger

Structural correlations between colloids in a binary mixture of charged and uncharged spheres are calculated using computer simulations of the primitive model with explicit microions. For aqueous suspensions in a solvent of large dielectric…

Soft Condensed Matter · Physics 2022-11-09 Elshad Allahyarov , Hartmut Löwen

The Ornstein-Zernike equation is a powerful tool in liquid state theory for predicting structural and thermodynamic properties of fluids. Combined with a suitable closure, it has been shown to reproduce e.g. the static structure factor,…

Soft Condensed Matter · Physics 2024-07-29 Ilian Pihlajamaa , Liesbeth M. C. Janssen

Using a combination of theory, experiment and simulation we investigate the nonlinear response of dense colloidal suspensions to large amplitude oscillatory shear flow. The time-dependent stress response is calculated using a recently…

Soft Condensed Matter · Physics 2015-05-20 J. M. Brader , M. Siebenbuerger , M. Ballauff , K. Reinheimer , M. Wilhelm , S. J. Frey , F. Weysser , M. Fuchs

We investigate stresses and particle motion during the start up of flow in a colloidal dispersion close to arrest into a glassy state. A combination of molecular dynamics simulation, mode coupling theory and confocal microscopy experiment…

Soft Condensed Matter · Physics 2009-11-13 J. Zausch , J. Horbach , M Laurati , S. U. Egelhaaf , J. M. Brader , Th. Voigtmann , M. Fuchs

Using a simple model of self-propelled particle, the effective shear viscosity of a dilute, spatially homogeneous suspension of active particles is studied. We use formulation of non-linear Fokker-Planck equation to drive a kinetic…

Soft Condensed Matter · Physics 2017-02-16 M. Moradi

We develop a multidensity formulation of the Ornstein-Zernike equation with Percus-Yevick closure for hard spheres with anisotropic surface adhesion of tetrahedral quadrupolar-like symmetry. An analytical solution is obtained using the…

Soft Condensed Matter · Physics 2025-12-29 Y. V. Kalyuzhnyi , P. T. Cummings

We investigate the structure of a binary mixture of particles interacting via purely repulsive (point) Yukawa pair potentials with a common inverse screening length $\lambda$. Using the hyper-netted chain closure to the Ornstein-Zernike…

Soft Condensed Matter · Physics 2007-05-23 P. Hopkins , A. J. Archer , R. Evans

Linear shear flow bounded by a plane wall is an idealization that occurs in microfluidic devices and many other applications. Perfect plane approximation neglects surface irregularities and discrete particles adsorbed at the surface. Here…

Fluid Dynamics · Physics 2024-05-28 Itzhak Fouxon , Alexander M. Leshansky

We study the rheological behaviour of a dense bidispersed suspension varying the relative size of the two dispersed phases. The main outcome of our analysis is that an enhanced flowability (reduced relative viscosity) of the suspension can…

Soft Condensed Matter · Physics 2023-02-21 Alessandro Monti , Marco Edoardo Rosti

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

The shear stress autocorrelation function has been studied recently by molecular dynamics simulation using the 1/q^n potential for very large n. The results are analyzed and interpreted here by comparing them to the shear stress response…

Statistical Mechanics · Physics 2009-11-07 James W. Dufty

By means of classical density functional theory and its dynamical extension, we consider a colloidal fluid with spherically-symmetric competing interactions, which are well known to exhibit a rich bulk phase behavior. This includes complex…

Soft Condensed Matter · Physics 2018-06-11 Daniel Stopper , Roland Roth

Mode coupling theory (MCT) appears to explain several, though not all, aspects of the glass transition in colloids (particularly when short-range attractions are present). Developments of MCT, from rational foundations in statistical…

Soft Condensed Matter · Physics 2007-05-23 M. E. Cates , C. B. Holmes , M. Fuchs , O. Henrich

The change of the structure of concentrated colloidal suspensions upon addition of non-adsorbing polymer is studied within a two-component, Ornstein-Zernicke based liquid state approach. The polymers' conformational degrees of freedom are…

Soft Condensed Matter · Physics 2009-10-31 M. Fuchs , K. S. Schweizer

The study of forced oscillations in open cylindrical channel under precession is extended to include the shear effect, that is induced by inertial waves in such systems. The linear part of the problem led to two equations for stability one…

Fluid Dynamics · Physics 2021-11-17 Hajar Alshoufi

In a dilute non-Brownian suspension undergoing simple shear, pairwise hydrodynamic interactions are fore-aft symmetric at zero Reynolds number and produce no net cross-streamline displacement. A weak central repulsive force between…

Soft Condensed Matter · Physics 2026-03-31 Anu V S Nath , Pijush Patra , Anubhab Roy
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