### Tuesday, 12 October 2004 - 4:45 PM

### This presentation is part of : Wineman Symposium

### On the flow of a mixture of a particulate solid and a viscous fluid in an orthogonal rheometer

**Mehrdad Massoudi**, U. S. Department of Energy/NETL, U. S. Department of Energy/NETL, P. O. Box 10940, Pittsburgh, PA 15236
Modelling multi-component flows such as fluidized beds and slurries, quite often involve formulation of constitutive relations for quantities such as partial stress tensors and interaction forces, to name but a few. These constitutive relations inevitably introduce into the governing equations unknown material properties such as viscosities, normal stress coefficients, thermal conductivities, etc. These properties, in general need to be measured experimentally, though in rare cases other theories, for example the statistical theory for particulate matter may be used to obtain the form and dependence of these material coefficients on other measurable quantities. In this paper, we will study a very special flowfield, one which is encountered in orthogonal rheometers. We look at the flow of a viscous fluid and a granular solid, consisting of many particles, situated between two parallel plates rotating about different axes.

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