Optimal temperature policies are obtained for the series-parallel reactions A → R → S occurring in a batch reactor subjected to concentration independent catalyst decay. The objective is to maximize the formation of the desired intermediate product R. The required temperature policy is obtained as the solution of a set of Euler-Lagrange equations subjected to the transversality and Legendre-Clebsch conditions. It is observed that the optimal policy can allow either rising or falling temperatures with possible minima and maxima in the optimal curves. The behavior of the optimal policy curves is a strong function of the various kinetic parameters. It is noted that the series and parallel network considered in this paper is a lumped representation of the fluid catalytic cracking reactions.
ASJC Scopus subject areas