Ordering of hard particles between hard walls

Chrzanowska, Agnieszka; Teixeira, Paulo Ivo Cortez; Ehrentraut, H.; Cleaver, Douglas J.

doi:10.1088/0953-8984/13/21/306

Cited by 59 publications

(54 citation statements)

References 62 publications

(75 reference statements)

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“…Moreover, aspherical particles demonstrate increased ordering near the walls (an effect which is more pronounced for the smooth walls). 33,34 The smooth wall experiments, however, show that when normalized by the size and shape dependent random loose packing fraction, / l , the relative apparent viscosity shows no dependence on the particle size or shape. Comparing the nylon to SAN particles, both have a high sphericity (w ¼ 1.00 and 0.98), but the nylon particles …”

Section: -7mentioning

confidence: 97%

Rheological measurements of large particles in high shear rate flows

et al. 2012

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How to impose stick boundary conditions in coarse-grained hydrodynamics of Brownian colloids and semiflexible fiber rheology J. Chem. Phys. 136, 064901 (2012) This paper presents experimental measurements of the rheological behavior of liquid-solid mixtures at moderate Stokes and Reynolds numbers. The experiments were performed in a coaxial rheometer that was designed to minimize the effects of secondary flows. By changing the shear rate, particle size, and liquid viscosity, the Reynolds numbers based on shear rate and particle diameter ranged from 20 to 800 (Stokes numbers from 3 to 90), which is higher than examined in earlier rheometric studies. Prior studies have suggested that as the shear rate is increased, particleparticle collisions also increase resulting in a shear stress that depends non-linearly on the shear rate. However, over the range of conditions that were examined in this study, the shear stress showed a linear dependence on the shear rate. Hence, the effective relative viscosity is independent of the Reynolds and Stokes numbers and a nonlinear function of the solid fraction. The present work also includes a series of roughwall experiments that show the relative effective viscosity is also independent of the shear rate and larger than in the smooth wall experiments. In addition, measurements were made of the near-wall particle velocities, which demonstrate the presence of slip at the wall for the smooth-walled experiments. The depletion layer thickness, a region next to the walls where the solid fraction decreases, was calculated based on these measurements. The relative effective viscosities in the current work are larger than found in low-Reynolds number suspension studies but are comparable with a few granular suspension studies from which the relative effective viscosities can be inferred.

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Section: -7mentioning

confidence: 97%

Rheological measurements of large particles in high shear rate flows

et al. 2012

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“…However, the former makes some assumptions ͑e.g., slow director variation͒ that are invalid near a solid substrate, while the latter introduces phenomenological parameters that are not easily related to microscopic properties. Last, there have been several studies using density-functional theory ͑DFT͒, 6,7,[11][12][13] or integral equation methods. 14,15 In this paper we study a liquid-crystal fluid near a solid substrate using DFT.…”

Section: Introductionmentioning

confidence: 99%

A density-functional theory study of the confined soft ellipsoid fluid

Cheung

Schmid

2004

The Journal of Chemical Physics

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A system of soft ellipsoid molecules confined between two planar walls is studied using classical density-functional theory. Both the isotropic and nematic phases are considered. The excess free energy is evaluated using two different Ansätze and the intermolecular interaction is incorporated using two different direct correlation functions ͑DCF's͒. The first is a numerical DCF obtained from simulations of bulk soft ellipsoid fluids and the second is taken from the Parsons-Lee theory. In both the isotropic and nematic phases the numerical DCF gives density and order parameter profiles in reasonable agreement with simulation. The Parsons-Lee DCF also gives reasonable agreement in the isotropic phase but poor agreement in the nematic phase.

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“…A few simulation studies have considered systems of "hard" particles with contact distances given by Eqn. (1.1) ("hard Gaussian overlap particles") [20,21,22,23,24,25]. Much more commonly, however, the contact function (1.1) is used in conjunction with Lennard-Jones type interaction potentials, the Gay-Berne potential [26].…”

Section: Ellipsoidsmentioning

confidence: 99%