Rheological evaluation of colloidal dispersions using the smoothed profile method: formulation and applications

2016 ◽  
Vol 792 ◽  
pp. 590-619 ◽  
Author(s):  
John J. Molina ◽  
Kotaro Otomura ◽  
Hayato Shiba ◽  
Hideki Kobayashi ◽  
Masaki Sano ◽  
...  
Keyword(s):  
Shear Flow ◽  
Rheological Behaviour ◽  
Direct Calculation ◽  
Simulation Method ◽  
Colloidal Dispersions ◽  
Spherical Particles ◽  
Shear Stresses ◽  
Stokesian Dynamics ◽  
Profile Method ◽  
Smoothed Profile Method

The smoothed profile method is extended to study the rheological behaviour of colloidal dispersions under shear flow by using the Lees–Edwards boundary conditions. We start with a reformulation of the smoothed profile method, a direct numerical simulation method for colloidal dispersions, so that it can be used with the Lees–Edwards boundary condition, under steady or oscillatory-shear flow. By this reformulation, all the resultant physical quantities, including local and total shear stresses, become available through direct calculation. Three simple rheological simulations are then performed for (1) a spherical particle, (2) a rigid bead chain and (3) a collision of two spherical particles under shear flow. Quantitative validity of these simulations is examined by comparing the viscosity with that obtained from theory and Stokesian dynamics calculations. Finally, we consider the shear-thinning behaviour of concentrated colloidal dispersions.

Stokesian Dynamics Simulations of Ferromagnetic Colloidal Dispersions in a Simple Shear Flow

1998 ◽  
Vol 203 (2) ◽  
pp. 233-248 ◽  
Author(s):  
Akira Satoh ◽  
Roy W. Chantrell ◽  
Geoff N. Coverdale ◽  
Shin-ichi Kamiyama
Keyword(s):  
Shear Flow ◽  
Simple Shear ◽  
Colloidal Dispersions ◽  
Simple Shear Flow ◽  
Stokesian Dynamics ◽  
Dynamics Simulations

scholarly journals Rheology of mobile sediment beds in laminar shear flow: effects of creep and polydispersity

2021 ◽  
Vol 932 ◽  
Author(s):  
Christoph Rettinger ◽  
Sebastian Eibl ◽  
Ulrich Rüde ◽  
Bernhard Vowinckel
Keyword(s):  
Friction Coefficient ◽  
Shear Flow ◽  
Volume Fraction ◽  
Particle Volume Fraction ◽  
Rheological Behaviour ◽  
Spherical Particles ◽  
Particle Volume ◽  
Two Phase ◽  
Transport Modelling ◽  
Static State

Classical scaling relationships for rheological quantities such as the $\mu (J)$ -rheology have become increasingly popular for closures of two-phase flow modelling. However, these frameworks have been derived for monodisperse particles. We aim to extend these considerations to sediment transport modelling by using a more realistic sediment composition. We investigate the rheological behaviour of sheared sediment beds composed of polydisperse spherical particles in a laminar Couette-type shear flow. The sediment beds consist of particles with a diameter size ratio of up to 10, which corresponds to grains ranging from fine to coarse sand. The data was generated using fully coupled, grain resolved direct numerical simulations using a combined lattice Boltzmann–discrete element method. These highly resolved data yield detailed depth-resolved profiles of the relevant physical quantities that determine the rheology, i.e. the local shear rate of the fluid, particle volume fraction, total shear and granular pressure. A comparison against experimental data shows excellent agreement for the monodisperse case. We improve upon the parameterization of the $\mu (J)$ -rheology by expressing its empirically derived parameters as a function of the maximum particle volume fraction. Furthermore, we extend these considerations by exploring the creeping regime for viscous numbers much lower than used by previous studies to calibrate these correlations. Considering the low viscous numbers of our data, we found that the friction coefficient governing the quasi-static state in the creeping regime tends to a finite value for vanishing shear, which decreases the critical friction coefficient by a factor of three for all cases investigated.

A smoothed profile method for simulating charged colloidal dispersions

2005 ◽  
Vol 169 (1-3) ◽  
pp. 104-106 ◽  
Author(s):  
Kang Kim ◽  
Yasuya Nakayama ◽  
Ryoichi Yamamoto
Keyword(s):  
Colloidal Dispersions ◽  
Profile Method ◽  
Smoothed Profile Method

Direct numerical simulations of sedimenting spherical particles at non-zero Reynolds number

RSC Advances ◽  
2014 ◽  
Vol 4 (96) ◽  
pp. 53681-53693 ◽  
Author(s):  
Adnan Hamid ◽  
John J. Molina ◽  
Ryoichi Yamamoto
Keyword(s):  
Reynolds Number ◽  
Numerical Simulations ◽  
Dynamic Properties ◽  
Direct Numerical Simulations ◽  
Spherical Particles ◽  
Inertial Effects ◽  
Profile Method ◽  
Volume Fractions ◽  
Wide Range ◽  
Smoothed Profile Method

We performed direct numerical simulations, using a smoothed profile method to investigate the inertial effects on the static and dynamic properties of a sedimenting suspension over a wide range of volume fractions from 0.01 to 0.4.

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