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 …