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We develop a tensorial constitutive model for dense, shear-thickening particle suspensions subjected to time-dependent flow. Our model combines a recently proposed evolution equation for the suspension microstructure in rate-independent…

Significant microstructural anisotropy is known to develop during shearing flow of attractive particle suspensions. These suspensions, and their capacity to form conductive networks, play a key role in flow-battery technology, among other…

Soft Condensed Matter · Physics 2015-01-14 Tyler Olsen , Ken Kamrin

We recently developed a tensorial constitutive model for dense, shear-thickening particle suspensions that combines rate-independent microstructural evolution with a stress-dependent jamming threshold. This gives a good qualitative account…

Fluid Dynamics · Physics 2020-07-14 Jurriaan Gillissen , Christopher Ness , Joseph Peterson , Helen Wilson , Michael Cates

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

Suspensions, which exhibit complex behaviors such as shear thickening, thinning, and jamming, are prevalent in nature and industry. However, predicting the mechanical properties of concentrated suspensions, in both steady state and the…

Soft Condensed Matter · Physics 2025-06-06 Pappu Acharya , Romain Mari

Under an applied traction, highly concentrated suspensions of solid particles in fluids can turn from a state in which they flow to a state in which they counteract the traction as an elastic solid: a shear-jammed state. Remarkably, the…

Soft Condensed Matter · Physics 2021-09-29 Giulio G. Giusteri , Ryohei Seto

Fine particle suspensions (such as cornstarch mixed with water) exhibit dramatic changes in viscosity when sheared, producing fascinating behaviors that captivate children and rheologists alike. Recent examination of these mixtures in…

Soft Condensed Matter · Physics 2022-06-08 Aaron Baumgarten , Ken Kamrin

Shear flow of dense, non-Brownian suspensions is simulated using the discrete element method, taking particle contact and hydrodynamic lubrication into account. The resulting flow regimes are mapped in the parametric space of solid volume…

Soft Condensed Matter · Physics 2015-01-06 Christopher Ness , Jin Sun

In this work we develop a theoretical framework for the localization of flow in the steadily flowing regime of sheared disordered solids with inertial dynamics on a microscopic scale. To this aim we perform rheology studies at fixed shear…

Soft Condensed Matter · Physics 2018-12-11 Vishwas V Vasisht , Magali Le Goff , Kirsten Martens , Jean-Louis Barrat

We derive from particle-level dynamics a constitutive model describing the rheology of two-dimensional dense soft suspensions below the jamming transition, in a regime where hydrodynamic interactions between particles are screened. Based on…

Soft Condensed Matter · Physics 2026-01-08 N. Cuny , E. Bertin , R. Mari

Dense suspensions are non-Newtonian fluids which exhibit strong shear thickening and normal stress differences. Using numerical simulation of extensional and shear flows, we investigate how rheological properties are determined by the…

Soft Condensed Matter · Physics 2017-08-04 Ryohei Seto , Giulio G. Giusteri , Antonio Martiniello

Using mode-coupling theory, we derive a constitutive equation for the nonlinear rheology of dense colloidal suspensions under arbitrary time-dependent homogeneous flow. Generalizing previous results for simple shear, this allows the full…

Soft Condensed Matter · Physics 2009-11-13 J. M. Brader , M. E. Cates , M. Fuchs

Carbon Black is a filler frequently used in conductive suspensions or nanocomposites, in which it forms networks supporting electric conductivity. Although Carbon Black aggregates originate from a presumably isotropic aggregation process,…

Soft Condensed Matter · Physics 2025-12-23 Victor Tänzel , Fabian Coupette , Marisol Ripoll , Tanja Schilling

Dense suspensions of soft colloidal particles display a broad range of physical and rheological properties which are still far from being fully understood. To elucidate the role of deformability on colloidal flow, we employ computer…

Soft Condensed Matter · Physics 2018-08-31 M. Foglino , A. N. Morozov , D. Marenduzzo

In the vicinity of their glass transition, dense colloidal suspensions acquire elastic properties over experimental timescales. We investigate the possibility of a visco-elastic flow instability in curved geometry for such materials. To…

Soft Condensed Matter · Physics 2015-08-21 Alexandre Nicolas , Matthias Fuchs

The nonlinear rheological properties of dense suspensions are discussed within simplified models, suggested by a recent first principles approach to the model of Brownian particles in a constant-velocity-gradient solvent flow. Shear…

Soft Condensed Matter · Physics 2015-06-24 Matthias Fuchs , Michael E. Cates

Using the volume averaging technique of Jackson (1997), we derive a set of two-fluid equations that describe the dynamics of a mono-disperse non-Brownian colloidal suspension in the semi-dilute regime. The equations are tensorial and can be…

Fluid Dynamics · Physics 2025-01-06 Dalton J. E. Harvie

We present a tensor constitutive model for predicting stress and flow-induced structure formation in dilute wormlike micellar solutions. The micellar solution is treated as a dilute suspension of rigid Brownian rods whose length varies…

Fluid Dynamics · Physics 2017-11-27 Sarit Dutta , Michael D. Graham

Considering the rheology of two-dimensional soft suspensions above the jamming density, we derive a tensorial constitutive model from the microscopic particle dynamics. Starting from the equation governing the $N$-particle distribution, we…

Soft Condensed Matter · Physics 2022-03-15 Nicolas Cuny , Romain Mari , Eric Bertin

We explore the rheology predicted by a recently proposed constitutive model for jammed suspensions of soft elastic particles derived from particle-level dynamics [Cuny et al., Phys. Rev. Lett. 127, 218003 (2021)]. Our model predicts that…

Soft Condensed Matter · Physics 2022-01-06 Nicolas Cuny , Éric Bertin , Romain Mari
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