Macroscopic Modeling of Viscous Suspension Flows

1994 ◽  
Vol 47 (6S) ◽  
pp. S229-S235 ◽  
Author(s):  
John F. Brady
Keyword(s):  
Shear Flow ◽  
Channel Flow ◽  
Particle Migration ◽  
Balance Model ◽  
Stokesian Dynamics ◽  
Suspension Flows ◽  
Macroscopic Modeling ◽  
Mean Motion ◽  
Dynamics Simulations ◽  
Pressure Driven

Shear-induced particle migration in viscous suspension flows is shown to lead to intrinsic concentration variations in inhomogeneous shear flow. A recently proposed suspension balance model is discussed that explains this migration as resulting from the requirement that the macroscopic suspension pressure be constant perpendicular to the direction of mean motion. The results of this model are shown to compare well with Stokesian Dynamics simulations of pressure-driven channel flow.

scholarly journals Pressure-driven flow of suspensions: simulation and theory

1994 ◽  
Vol 275 ◽  
pp. 157-199 ◽  
Author(s):  
Prabhu R. Nott ◽  
John F. Brady
Keyword(s):  
Particle Velocity ◽  
Particle Migration ◽  
Channel Width ◽  
Stokesian Dynamics ◽  
Dynamic Simulations ◽  
Inhomogeneous Flow ◽  
Pressure Driven Flow ◽  
Energy Balances ◽  
Good Agreement ◽  
Pressure Driven

Dynamic simulations of the pressure-driven flow in a channel of a non-Brownian suspension at zero Reynolds number were conducted using Stokesian Dynamics. The simulations are for a monolayer of identical particles as a function of the dimensionless channel width and the bulk particle concentration. Starting from a homogeneous dispersion, the particles gradually migrate towards the centre of the channel, resulting in an homogeneous concentration profile and a blunting of the particle velocity profile. The time for achieving steady state scales as (H/a)3a/〈u〉, where H is the channel width, a the radii of the particles, and 〈u〉 the average suspension velocity in the channel. The concentration and velocity profiles determined from the simulations are in qualitative agreement with experiment.A model for suspension flow has been proposed in which macroscopic mass, momentum and energy balances are constructed and solved simultaneously. It is shown that the requirement that the suspension pressure be constant in directions perpendicular to the mean motion leads to particle migration and concentration variations in inhomogeneous flow. The concept of the suspension ‘temperature’ – a measure of the particle velocity fluctuations – is introduced in order to provide a nonlocal description of suspension behaviour. The results of this model for channel flow are in good agreement with the simulations.

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 Combined electrokinetic and shear flows control colloidal particle distribution across microchannel cross-sections

Soft Matter ◽  
2021 ◽  
Author(s):  
Varun Lochab ◽  
Shaurya Prakash
Keyword(s):  
Shear Flow ◽  
Cross Sections ◽  
Lift Force ◽  
Shear Flows ◽  
Colloidal Particle ◽  
Particle Distribution ◽  
Particle Migration ◽  
Flow Parameters

We quantify and investigate the effects of flow parameters on the extent of colloidal particle migration and the corresponding electrophoresis-induced lift force under combined electrokinetic and shear flow.

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