Theory to predict particle migration and margination in the pressure-driven channel flow of blood

2017 ◽  
Vol 2 (9) ◽  
Author(s):  
Qin M. Qi ◽  
Eric S. G. Shaqfeh
Keyword(s):  
Channel Flow ◽  
Particle Migration ◽  
Pressure Driven

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.

Particle migration in pressure-driven flow of a Brownian suspension

2003 ◽  
Vol 493 ◽  
pp. 363-378 ◽  
Author(s):  
MARTIN FRANK ◽  
DOUGLAS ANDERSON ◽  
ERIC R. WEEKS ◽  
JEFFREY F. MORRIS
Keyword(s):  
Particle Migration ◽  
Pressure Driven Flow ◽  
Pressure Driven

Dispersion of a buoyant plume in a turbulent pressure-driven channel flow

2009 ◽  
Vol 52 (7-8) ◽  
pp. 1827-1842 ◽  
Author(s):  
Alexandre Fabregat ◽  
Jordi Pallarès ◽  
Ildefonso Cuesta ◽  
Francesc Xavier Grau
Keyword(s):  
Channel Flow ◽  
Buoyant Plume ◽  
Turbulent Pressure ◽  
Pressure Driven

Effect of Electrical Double Layer on Electrical Conductivity and Pressure Drop in Pressure-Driven Micro-Channel Flow

2006 ◽  
Author(s):  
Bochuan Lin ◽  
Heng Ban
Keyword(s):  
Electrical Conductivity ◽  
Pressure Drop ◽  
Channel Flow ◽  
Double Layer ◽  
Electrical Double Layer ◽  
Debye Length ◽  
Channel Width ◽  
Micro Channel ◽  
Order Of Magnitude ◽  
Pressure Driven

The effect of electrical double layer (EDL) on micro-channel flow has been studied widely. Most research focused on flows with typical channel width or pipe diameter much greater than the thickness of EDL (Debye length). In such cases, the influence of EDL on the overall electrical conductivity is small, and a constant bulk electrical conductivity is often used in calculations. In our study of pressure-driven micropipette injection flow, the pipe size is on the same order of magnitude as the Debye length. To elucidate the effect of overlapping EDL the flow inside a micro-channel was analyzed. The governing equations for the flow, the Poisson equation for the electric potential, and the charge continuity equation for the net charge were solved analytically. The effect of overlapping EDL on the electrical conductivity and velocity distribution in the micro-channel and the pressure drop were quantified. The results showed that, the average conductivity of electrolyte solution inside the channel increased significantly, dependent on the channel width. With the modified mean electrical conductivity, the pressure drop for the pressure-driven flow was smaller than that without considering the influence of EDL on conductivity.

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