A population balance model, taking into account the particle-particle and particle-wall
heat transfer by collisions is presented for modelling heat transfer processes in
fluid-solid systems. The spatial distribution of the temperature is described by the
compartments-in-series with back-flow model. An infinite hierarchy of moment equations,
describing the time evolution of the moments of particle temperature in cells is derived
that can be closed at any order of moments. The properties of the model and the effects
of parameters are examined by numerical experiments using the moment equation model.
The simulation results indicate that the population balance model provides a good
tool for describing the temperature inhomogeneities of the particle populations in
particulate systems, and can be used efficiently for analysing the heat transfer in
fluid-solid energy conversion processing.