Process Control: Modeling, Design, and Simulation

M11.3. Batch Model 2: Jacket Inlet Temperature Manipulated

In this section we focus on the development of a mathematical model for the reactor and jacket; we will assume that the jacket inlet temperature is manipulated, and the jacket flowrate is constant. This model is appropriate for the strategy shown in Figure M11-3. A number of other assumptions will be made in the development of a mathematical model to describe the dynamic batch reactor behavior. First of all, we will assume that the reactor is perfectly mixed. Also, for simplicity we lump all reaction heat effects into a single heat- generation term, q_gen. Similarly, the jacket is perfectly mixed; often, agitation nozzles are used to create a high “swirl velocity” in the jacket, so this ...