Determine the highest possible efficiency for a given set of flow conditions.
A method for visualizing absolute and relative fluid velocities to understand how energy is added (pumps/compressors) or extracted (turbines).
Development of turbochargers and aircraft propulsion systems.
Identify whether a radial, mixed, or axial flow machine is best suited for a specific application based on its operating point.
Establish the initial geometric dimensions of a machine before moving into more intensive computational fluid dynamics (CFD). Theoretical Foundations