In many industrial applications fluids undergo rapid changes in rheology due for example to polymerization, heat transfer or other transformations. To adequately design continuous processes involving such flows one must account for the coupled effects between rheology kinetics and the generally non-uniform residence times. In this work we investigate the relation between pressure drop, residence time distribution and rheology kinetics and describe the application of various approaches including computational fluid dynamics, experiments, reduced order models and correlations using dimensionless numbers.