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Vertical free-fall reactors are used for a broad range of advanced materials processing. As temperatures increase, the CAPEX becomes more important. It is important therefore to employ a modeling tool to properly size the equipment for the target production rate. The model is discussed, noting the simplifying assumptions and the rigorous algorithms. The model considers heavy particles (acceleration), semi-opaque clouds (efficiency vs. efficacy), collisions between particles in different size (or shape) families (in case sticking is anticipated), and temperature dependent properties of the gases and solids (to account for phase changes).