Abstract
This chapter highlights models for different (dynamic) applications. The development of the model needs to consider different phenomena that take place during the operation of the process. Some of the key mechanisms, assumptions considered in the mathematical model as well as the development of the model in terms of mass and energy balances, and constitutive equations are discussed. Five detailed case studies are presented. The first deals with the modelling of a complex unit operation (blending tank). The second involves the multi-scale dynamic modelling of the performance of a direct methanol fuel cell. The third also involves multi-scale modelling, but studies a fluidized bed reactor. The purpose is to develop a model for the direct methanol fuel cell (DMFC) so that the performance of the DMFC can be studied. The main objective is to develop a model for a fluidized bed reactor in order to predict the reactant concentrations with respect to time and analyze the resulting multi-scale model to evaluate opportunities for model reduction. The fourth presents a typical dynamic model for a chemical reactor. The final case study in this chapter involves the dynamic modelling of a polymerization reactor.
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