Modelling of Batch Process Operations

Here a batch cooling crystalliser is modelled and simulated as is a batch distillation system. In the batch crystalliser four operational modes of the crystalliser are considered, namely: initial cooling, nucleation, crystal growth and product removal. A model generation procedure is shown that sets out a clear set of steps to produce the model for dynamic simulation purposes. A population balance approach is adopted which through the application of a method of moments produces a set of ODEs from the original PDE model. A full analysis of the model is performed to generate the Degrees of Freedom (DoF) analysis, choice of variables to satisfy DoF and solution strategy. The batch distillation model for setting up and testing an operating sequence is developed and simulated. This looks at such operating policies as constant reflux ratio or set concentration of specific compound in the residue etc. A wide range of dynamic runs illustrates the effects of adopting certain operational policies.