The general objective of the branch of rheology called rheometry is the definition of the rheological behavior of a given fluid under given flow conditions through the experimental measurement of macroscopic quantities using suitable instruments. The rheometer data may be essential in the formulation of constitutive equations, in other words, to assist in the determination ofthe relationships between the tensorial components of the shear stress tij and of the shear rate Yij. These relations are generally dependent on Yij and also on the previous rheological history experienced by the fluid under investigation, so that the more extended is the experimental plan, the more accurate will be the definition of the rheological model. Accordingly, also the solution of real flow problems, through the combination of the rheological equation of state with the equations of motion and continuity, will also be more precise.The first step in deriving a rheological equation of state from experimental data is decidedly a difficult task, since it implies the conversion of the macroscopic quantities available from rheometrical measurements into the local quantities, tij and Yij. This operation necessarily involves the integration of differential equations, in which initial and boundary conditions must be taken into account in conjunction with assumption of a suitable equation of state, and, for each single rheometer and for any given fluid, will lead to a different exact solution of the relevant integral equations, relating experimental macroscopic quantities to the local functions tij and Yij. Only when the experimental conditions are characterized by simple geometries (in which the distribution of the Yij components is simple) and elementary kinematic flow conditions (like shear or extensional flows), does such an operation become practicable, and the local quantities can be obtained more easily from macroscopic quantities. R. Lapasin et al., Rheology of Industrial Polysaccharides: Theory and Applications