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Title: A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration

Abstract

A constitutive equation for computing particle concentration and velocity fields in concentrated monomodal suspensions is proposed that consists of two parts: a Newtonian constitutive equation in which the viscosity depends on the local particle volume fraction and a diffusion equation that accounts for shear-induced particle migration. Particle flux expressions used to obtain the diffusion equation are derived by simple scaling arguments. Predictions are made for the particle volume fraction and velocity fields for steady Couette and Poiseuille flow, and for transient start-up of steady shear flow in a Couette apparatus. Particle concentrations for a monomodal suspension of polymethyl methacrylate spheres in a Newtonian solvent are measured by nuclear magnetic resonance (NMR) imaging in the Couette geometry for two particle sizes and volume fractions. The predictions agree remarkably well with the measurements for both transient and steady-state experiments as well as for different particle sizes.

Authors:
; ;  [1]; ;  [2]
  1. Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
  2. Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
Publication Date:
OSTI Identifier:
5551805
DOE Contract Number:  
W-7405-ENG-36
Resource Type:
Journal Article
Journal Name:
Physics of Fluids A; (United States)
Additional Journal Information:
Journal Volume: 4:1; Journal ID: ISSN 0899-8213
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; SUSPENSIONS; DIFFUSION; CONCENTRATION RATIO; COUETTE FLOW; METHACRYLATES; MIGRATION; MULTIPHASE FLOW; NUCLEAR MAGNETIC RESONANCE; PARTICLES; SCALING; SPHERES; CARBOXYLIC ACID SALTS; DISPERSIONS; FLUID FLOW; MAGNETIC RESONANCE; RESONANCE; VISCOUS FLOW; 665000* - Physics of Condensed Matter- (1992-)

Citation Formats

Phillips, R J, Armstrong, R C, Brown, R A, Graham, A L, and Abbott, J R. A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration. United States: N. p., 1992. Web. doi:10.1063/1.858498.
Phillips, R J, Armstrong, R C, Brown, R A, Graham, A L, & Abbott, J R. A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration. United States. doi:10.1063/1.858498.
Phillips, R J, Armstrong, R C, Brown, R A, Graham, A L, and Abbott, J R. Wed . "A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration". United States. doi:10.1063/1.858498.
@article{osti_5551805,
title = {A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration},
author = {Phillips, R J and Armstrong, R C and Brown, R A and Graham, A L and Abbott, J R},
abstractNote = {A constitutive equation for computing particle concentration and velocity fields in concentrated monomodal suspensions is proposed that consists of two parts: a Newtonian constitutive equation in which the viscosity depends on the local particle volume fraction and a diffusion equation that accounts for shear-induced particle migration. Particle flux expressions used to obtain the diffusion equation are derived by simple scaling arguments. Predictions are made for the particle volume fraction and velocity fields for steady Couette and Poiseuille flow, and for transient start-up of steady shear flow in a Couette apparatus. Particle concentrations for a monomodal suspension of polymethyl methacrylate spheres in a Newtonian solvent are measured by nuclear magnetic resonance (NMR) imaging in the Couette geometry for two particle sizes and volume fractions. The predictions agree remarkably well with the measurements for both transient and steady-state experiments as well as for different particle sizes.},
doi = {10.1063/1.858498},
journal = {Physics of Fluids A; (United States)},
issn = {0899-8213},
number = ,
volume = 4:1,
place = {United States},
year = {1992},
month = {1}
}