Abstract A method is developed for the blade-to-blade solution of the incompressible, nonviscous flow through rotating blade rows (including the inlet region) with or without splitter vanes. Splitter vanes are partial blades which do not extend to the inlet of the blade row. Numerical solutions are obtained for four weight flows through a centrifugal impeller without splitter vanes at one operating speed. The results are presented in a series of figures showing streamlines and relative velocity contours.