Abstract: An inverse method of a full three dimensional rotational flow for the design ofmixed flow runner is described.The mean flow equations are derived from the 3-D Eulerequations by use of circumferential averaging method and the periodic flow equations areobtained from Clebsch formulation. The blades are represented by superposition of vorticesand sources. The distribution of V_(θr)and thickness is prescribed and the corresponding bladeShape is computed iteratively. The method is applied to the design of mediul...