The numerical methods for the flow and heat transfer analysis in the solid particle moving beds of heat exchangers are considered. The solid particles moves down through the bundle of heat source tube by gravitational force. The viscous-plastic fluid model and the convective heat transfer model are applied to the analysis. The total heat transfer in exchangers is influenced dominantly by the flow field. As the velocities of solid particles around the heat source tubes increase, the amount of heat transfer from tubes increases. Some examples are presented to show the performance of the numerical model and the effect of flow for the heat transfer.