The thesis presents a Probability Density Function (PDF)-derived Eulerian/Eulerian
model for the prediction of dispersed two-phase (solid/gas) flows. Continuum equations
for the dispersed phase are formulated from the Kinetic Model (KM) PDF transport
equations. The Kinetic stresses of the dispersed phase are determined from an algebraic
stress model (ASM) together with a KM-based transport equation for the fluctuating
kinetic energy. The continuum equations for the continuous phase are assumed to be the
same as those in the Eulerian two-fluid model except for the interfacial momentum and
energy transfer terms. Closures for these terms are derived from the PDF KM and mirror
their counterparts in the dispersed phase equations. Also, the carrier phase turbulence
is modelled by the standard k-ε model. These transport equations are solved using the
numerical framework of an existing two-fluid approach. Furthermore, the current two-fluid
model practice of applying wall functions to impose boundary conditions is adapted for
application to the particulate phase. Such wall functions are calculated from the PDF KM
itself. In this approach, the PDF equations are pre-integrated using the fully developed
flow assumption along the wall to relate wall fluxes to values of the relevant variables in
the interior of the flow. Such integration is utilised to create a wall functions database for
a range of mean flow conditions.
The model is validated against a range of both unbounded and bounded flow cases.
Comparisons are made with experimental data as well as the results of other computational
methods. It was found that the proposed model performs very well in capturing particulate
behaviour and improves, in certain aspects, on the performance of traditional two-fluid
models while retaining the practicality of the latter model for industrial applications. In
particular, a reasonable capture of the particulate dispersion was observed within jet flows.
Improvements were also seen in the prediction of mass flux distribution in shear layers and
an accurate capture of near-wall mass distributions in bounded flows