A mathematical model of the functioning of multiproduct chemical engineering systems

A mathematical model of the functioning of multiproduct chemical engineering systems is proposed. The model is used to solve problems of designing the main apparatuses of a system (determining the number of apparatuses in stages of the system and their main geometric sizes and operating modes). Such problems are encountered in design of multirange small-batch chemical production units and their conversion to synthesizing new products. The model proposed takes into account the possibility of division and combination of batches of raw material and intermediate products in apparatuses in certain stages of their processing. Original algorithms for solving relations of the model are developed, one of which is an algorithm for minimizing the duration of operating cycles of a system in the division and combination of batches of materials during their processing and the other of which is an algorithm for determining the product batch sizes that ensure the possibility to perform combinable stages of their synthesis in apparatuses of the same sizes. On the basis of the proposed model and algorithms for solving the set of model relations, a system for automated calculation of the number and geometric sizes of the main apparatuses of multiproduct chemical engineering systems is created. Using this automated calculation system, more than thirty production units for synthesizing chemical dyes and intermediate products are designed and converted to synthesizing new products.