Numerical calculation of parameters of an ensemble of particles in a perfectly mixed fluidized-bed reactor

The problem of numerical calculation of parameters (mass; fractional makeup; entrainment, settling, and discharge flow rates) of the solid phase in a perfectly mixed fluidized bed of reacting particles in flow and batch reactors and in a system of two flow-coupled reactors is considered. A system of equations is suggested for solving this problem for an arbitrary particle size distribution in the feed stream and for an arbitrary dependence of the shrinkage or growth of the particles on their diameter. Expressions for calculating the mass and fractional makeup of the dispersed material at the induction stage have been obtained. Calculation of parameters of an ensemble of particles in a recycle reactor is described. The particular cases of flow and batch reactors and a system of two flow-coupled reactors have been considered for different dependences of the transformation rate of the particles on their size at an arbitrary fractional makeup of the feed stream.