Journal ArticleDOI
Numerical study of concentrated fluid–particle suspension flow in a wavy channel
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In this article, the particle migration effects and fluid-particle interactions occurring in the flow of highly concentrated fluidparticle suspension in a spatially modulated channel have been investigated numerically using a finite volume method.Abstract:
The particle migration effects and fluid–particle interactions occurring in the flow of highly concentrated fluid–particle suspension in a spatially modulated channel have been investigated numerically using a finite volume method. The mathematical model is based on the momentum and continuity equations for the suspension flow and a constitutive equation accounting for the effects of shear-induced particle migration in concentrated suspensions. The model couples a Newtonian stress/shear rate relationship with a shear-induced migration model of the suspended particles in which the local effective viscosity is dependent on the local volume fraction of solids. The numerical procedure employs finite volume method and the formulation is based on diffuse-flux model. Semi-implicit method for pressure linked equations has been used to solve the resulting governing equations along with appropriate boundary conditions. The numerical results are validated with the analytical expressions for concentrated suspension flow in a plane channel. The results demonstrate strong particle migration towards the centre of the channel and an increasing blunting of velocity profiles with increase in initial particle concentration. In the case of a stenosed channel, the particle concentration is lowest at the site of maximum constriction, whereas a strong accumulation of particles is observed in the recirculation zone downstream of the stenosis. The numerical procedure applied to investigate the effects of concentrated suspension flow in a wavy passage shows that the solid particles migrate from regions of high shear rate to low shear rate with low velocities and this phenomenon is strongly influenced by Reynolds numbers and initial particle concentration. Copyright © 2008 John Wiley & Sons, Ltd.read more
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References
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Journal ArticleDOI
The shear-induced migration of particles in concentrated suspensions
TL;DR: In this article, it was shown that shear-induced migration of particles out of the sheared Couette gap and into the fluid reservoir, which reduces the particle concentration in the gap and thereby the observed viscosity, is consistent with a gap-limited shearinduced diffusion process normal to the plane of shear, with the relevant diffusion coefficient being proportional to the applied shear rate.
Journal ArticleDOI
A constitutive equation for concentrated suspensions that accounts for shear‐induced particle migration
TL;DR: In this article, a constitutive equation for computing particle concentration and velocity fields in concentrated monomodal suspensions is proposed that consists of two parts: a Newtonian constitutive equations in which the viscosity depends on the local particle volume fraction and a diffusion equation that accounts for shear-induced particle migration.
Journal ArticleDOI
Behaviour of macroscopic rigid spheres in Poiseuille flow Part 2. Experimental results and interpretation
G. Segré,A. Silberberg +1 more
TL;DR: In this paper, Segre and Silberberg showed that a rigid sphere transported along in Poiseuille flow through a tube is subject to radial forces which tend to carry it to a certain equilibrium position at about 0.6 tube radii from the axis, irrespective of the radial position at which the sphere first entered the tube.
Journal ArticleDOI
Pressure-driven flow of suspensions : simulation and theory
Prabhu R. Nott,John F. Brady +1 more
TL;DR: In this paper, a model for suspension flow is proposed in which macroscopic mass, momentum and energy balances are constructed and solved simultaneously, and the concept of the suspension temperature is introduced in order to provide a nonlocal description of suspension behaviour.