A design method for turbomachinery blading in three‐dimensional flow

A mixed spectral finite element scheme for the implementation of a design method for turbomachinery blading in three‐dimensional subcritical compressible flow is presented. The method gives the detailed blade shape that would produce a prescribed tangential mean swirl schedule, given the hub and shroud profiles, the number of blades and their stacking position. After a presentation of the mathematical formulation of the design theory, the current numerical approach is described. It is then applied to the design of blading for radial inflow turbine impellers in three‐dimensional flow.