A new numerical model using both Eulerian and Lagrangian coordinates, and t
aking account of interparticle interactions, has been developed for the stu
dy of hydrodynamic aspects of dense particle-laden rise flows. A stochastic
particle dispersion model has been incorporated in the original model to d
escribe the gas particle turbulent flows. In addition, the collisional inte
raction between the particles has been modeled using the kinetic theory of
granular flows based on the Chapman-Enskog theory of dense gases. A compari
son with the experimental results of Miller and Gidspow (1992) shows reason
ably good agreement, The present model may provide a useful approach for pr
edicting the complex hydrodynamic behaviour of fluidized bed systems.