Non-linear process analysis

Mathematics is the language universally used to describe and analyze phenomena and processes both natural and artificial. Thus, the importance of system theory in science and technology is apparent. For example, most of the processes of interest in chemical engineering are described with complex, and often nonlinear, mathematical models. In this case, the system theory is of value in deriving insight and predictions. In this presentation, some examples are used to enlighten both capabilities and possible difficulties arising when implementing this approach. First, an example of the so called numerical experimentation used to analyse a chemical-physical phenomenon will be presented. Then, results of the dynamic nonlinear characterisation of a polymeric liquid crystalline phase subjected to flow fields will be reported. Finally, the use of dynamic analysis for design and analysis of a well known industrial process will be described.