System modeling and model reduction

In order to develop a model for this process, let M denote the reactor holdup, Mr the holdup in the tube side of the heat exchanger, and Mc the holdup in the shell side. We will denote by Fq the feed flow rate to the reactor, by F the effluent flow rate, by Fc the coolant flow rate, and by R the recycle flow rate. Let Tq be the temperature of the feed stream, T the reactor temperature, Tr the temperature 

Process systems with high energy throughput 

For useful energy removal, the rate of heat removal from the reactor by the recycle stream, (RCP(T — Tr))s, must be of the same magnitude as the rate of heat generation by the chemical reactions, AF[s = (—AHTrM)s  

Our assumption that the heat capacities of the coolant and of the reaction mixture are of comparable magnitude, i.e., 

Additionally, we assume that the time constants for heat transfer and mass transport are of the same order of magnitude, i.e., 

---