Model Reduction of Integrated Reaction Processes

Reaction invariants are of fundamental importance for the design of integrated reaction separation processes with fast chemical reactions. Even for reactions in ideal homogeneous liquid phase there is a need for an effective algorithm for the computation of reaction invariants and for a rigorous mathematical proof that the reduced system is not only a projected system of differential-algebraic type, but a faithful lower-dimensional system of ordinary differential equations. Extensions into several directions, e.g. to homogeneous reactions with nonideal liquid phase, to heterogeneously catalysed reactions and eventually to PDE-models of separation columns, will be studied within this project.