Minimal order heterogenous dynamic modeling of non-isothermal continuous tubular reactors packed with catalytic particles

Dynamic modeling of non-isothermal continuous tubular reactors (NI-CTR) packed with catalytic particles involves a space metric for reactant concentrations in fluid phase, and another space metric for reactant concentrations within the catalytic particles. These two metrics may produce dynamic models of extremely high order, non-practical to development control theory. Therefore, a realistic heterogenous dynamic model with minimum order, supported in a cascade of ideally mixed units and an adequate coordinate system (spherical) for the particles, was proposed. The resulting model has 230-order dynamic which represents a NI-CTR packed with immobilized glucose isomerase particles. This model was linearized by Taylor series expansion to obtain a linear dynamic which can be applied to develop L2/D control theory.