A Simplified Analysis of Cascade Flow in Mixed-Flow Pumps and Turbines

Abstract

The direct problem on the cascade flow in mixed- and radial-flow pumps and turbines has been solved by various methods. Among these the method of using the finite difference calculus and the relaxation method is sufficiently applicable to cascades with arbitrary blade shapes and with varying passage-heights and passage-angles. In this paper, such a numerical method is improved in the way of division of the stream function and on three relaxation procedures to save the labour for calculation and to increase the accuracy of the solution. Then three numerical examples are presented to examine the accuracy, to compare with the experimental data and to show the applicability of the method.