Optimal design of cyclones in series for the separation of multicomponent mixtures of Portland cement

A nonlinear programming problem was developed for the separation and classification of Portland cement particles into different fractions through the optimal design of two cyclones classifier in series. The equations and restrictions considered included the global mass balances, the equations for the geometric design of the cyclones, the equations for the efficiency calculation, the operating limitations of the process and the pressure drops of the equipment. The results show that an increase on the particles cut size led to a greater dimensions cyclone, as expected. Moreover, fractional efficiencies obtained increase with the reduction of the cut size. The solids load effect is also evaluated, reductions of the solids feed by 50% of its maximum value does not result in a remarkably decrease of efficiencies values. The proposed model has provided useful information and constitutes a starting point for a better understanding of the overall separation process of multi-component Portland cement mixtures. It is a valuable tool for the correct design of this type of separators, given its versatility to optimize under different operating conditions and with different materials.