Channel flow of a concentrated suspension
Abstract
A theory for creeping flow of concentrated suspensions is described that takes into account the fluctuations of particles about their mean motion. The intensity of the velocity fluctuations is characterized by an internal field analogous to the temperature in classical kinetic theories, and governed by a balance law for the fluctuation energy. Explicit forms are posed for the constitutive models relating the viscosity, conductivity, dissipation, and pressure to the temperature and mean interparticle separation. Flow between parallel plates is considered; exact and approximate solutions are found for the temperature and separation fields. The mean velocity is given in terms of a simple integral involving the temperature. The solution exhibits qualitative behavior comparable to experimental observations: particle fluctuations and the mean shearing are confined to a region near the channel wall, while a pluglike region prevails in the center.
 Publication:

Presented at the 2nd USJapan Seminar on Micromechanics of Granular Materials
 Pub Date:
 1991
 Bibcode:
 1991mgm..conf....4M
 Keywords:

 Channel Flow;
 Creep Properties;
 Fluid Flow;
 Mathematical Models;
 Particle Motion;
 Shear Flow;
 Suspending (Mixing);
 Viscous Flow;
 Energy Dissipation;
 Kinetic Energy;
 Parallel Plates;
 Pressure Gradients;
 Reynolds Number;
 Velocity Distribution;
 Viscosity;
 Wall Flow;
 Fluid Mechanics and Heat Transfer