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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

The connection between fundamental interactions acting in molecules in a fluid and macroscopically measured properties, such as the viscosity between colloidal particles coated with polymers, is studied here. The role that hydrodynamic and…

Soft Condensed Matter · Physics 2015-09-02 A. Gama Goicochea , M. A. Balderas Altamirano , R. Lopez-Esparza , M. A. Waldo , E. Perez

We consider a stochastic flow in which individual particles follow skew Brownian motions, with each one of these processes driven by the same Brownian motion. One does not have uniqueness for the solutions of the corresponding stochastic…

Probability · Mathematics 2007-05-23 Krzysztof Burdzy , Haya Kaspi

Oscillatory shear has been widely used to study the rheological properties of suspensions under unsteady shear. Furthermore, recent works have shown that oscillatory flows can improve the flowability of dense suspensions. While most studies…

Soft Condensed Matter · Physics 2021-06-15 Junhao Dong , Martin Trulsson

We have performed confocal microscopy experiments and computer simulations of colloidal suspensions with moderate volume fraction confined between two quasi-parallel, rough walls [A. Villada-Balbuena et al., Soft Matter, 2022, 18,…

Soft Condensed Matter · Physics 2025-04-30 Gerhard Jung , Alejandro Villada-Balbuena , Thomas Franosch

We introduce a novel approach to reveal ordering fluctuations in sheared dense suspensions, using line scanning in a combined rheometer and laser scanning confocal microscope. We validate the technique with a moderately dense suspension,…

Soft Condensed Matter · Physics 2022-11-04 Joia M. Miller , Daniel L. Blair , Jeffrey S. Urbach

Dynamic particle-scale numerical simulations are used to show that the shear thickening observed in dense colloidal, or Brownian, suspensions is of a similar nature to that observed in non-colloidal suspensions, i.e., a stress-induced…

Soft Condensed Matter · Physics 2015-12-04 Romain Mari , Ryohei Seto , Jeffrey F. Morris , Morton M. Denn

Discontinuous shear-thickening in dense suspensions naturally emerges from the activation of frictional forces by shear flow in non-Brownian systems close to jamming. Yet, this physical picture is incomplete as most experiments study soft…

Soft Condensed Matter · Physics 2018-08-08 Takeshi Kawasaki , Ludovic Berthier

We investigate the link between particle-scale dynamics and bulk behaviors of thickly-coated particle-fluid flows using computational simulations. We find that, similar to dense fully-saturated slurries, the form the rheology takes in these…

Fluid Dynamics · Physics 2018-12-19 Teng Man , Qingfeng Feng , K. M. Hill

An accurate prediction of the translational and rotational motion of particles suspended in a fluid is only possible if a complete set of correlations for the force coefficients of fluid-particle interaction is known. The present study is…

Fluid Dynamics · Physics 2020-09-24 Martyna Minakowska , Thomas Richter , Sebastian Sager

We describe a novel method of tracking the rotational motion of clusters of colloidal particles. Our method utilizes rigid body transfor- mations to determine the rotations of a cluster and extends conventional proven particle tracking…

Soft Condensed Matter · Physics 2011-09-01 Gary L. Hunter , Kazem V. Edmond , Mark T. Elsesser , Eric R. Weeks

We present a new design for a confocal rheoscope that enables uniform uniaxial or biaxial shear. The design consists of two precisely-positioned parallel plates with a gap that can be adjusted down to 2$\pm$0.1 \mu m, allowing for the…

Soft Condensed Matter · Physics 2016-06-03 Neil Y. C. Lin , Jonathan H. McCoy , Xiang Cheng , Brian Leahy , Jacob N. Israelachvili , Itai Cohen

Motivated by the complex rheological behaviors observed in small/micro scale blood vessels, such as the Fahraeus effect, plasma-skimming, shear-thinning, etc., we develop a non-linear suspension model for blood. The viscosity is assumed to…

Fluid Dynamics · Physics 2018-12-26 Wei-Tao Wu , Nadine Aubry , James F. Antaki , Mehrdad Massoudi

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

Dense suspensions of solid particles in viscous liquid are ubiquitous in both industry and nature, and there is a clear need for efficient numerical routines to simulate their rheology and microstructure. Particles of micron size present a…

Soft Condensed Matter · Physics 2023-07-27 Xuan Li , John R. Royer , Christopher Ness

Non-particulate continuum descriptions allow for computationally efficient modeling of suspension flows at scales that are inaccessible to more detailed particulate approaches. It is well known that the presence of particles influences the…

Soft Condensed Matter · Physics 2013-11-13 Florian Janoschek , Jens Harting , Federico Toschi

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

Advances in intensity-based microscopy techniques have improved our ability to quantify particle motion at microscopic scales, enabling insight into diffusion and collective dynamics. Building on this foundation, we introduce a novel…

Soft Condensed Matter · Physics 2026-04-03 Sophie Hermann , Seyed Saman Banarooei , Adam Carter , Carlos A. Silvera Batista , Sophie Marbach

Many colloidal systems display very non-Newtonian and solid-like behaviour when concentrated, a striking feature being the apparition of a yield stress. After recalling some basics about the interactions between colloidal particles, I…

Soft Condensed Matter · Physics 2007-05-23 Armand Ajdari

The nonlinear rheological properties of dense colloidal suspensions under steady shear are discussed within a first principles approach. It starts from the Smoluchowski equation of interacting Brownian particles in a given shear flow,…

Soft Condensed Matter · Physics 2008-10-15 Matthias Fuchs