Heat integration in batch processes including heat streams with time dependent temperature progression

Time Slice Model (TSM) is an existing model suitable to identify the potential for heat integration in batch processes. However, heat streams occurring during a heating or cooling process in a batch vessel cannot be depicted rigorously due to their time dependent temperature profile. Yet such streams can frequently be found in batch processes. Ignoring the temporal dependence of the temperature can lead to inaccurate heat integration targets. In this publication, necessity for the inclusion of time dependent heat streams is illustrated and drawbacks of existing approaches are demonstrated. A methodology for considering heat streams with temperature profiles in TSM is presented and it is demonstrated that introducing additional time slices allow prediction of integration potential without accuracy loss.