Abstract
An analysis is given which enables the performance of a rotating cascade in a mixed flow machine to be calculated. A method of singularities previously used for obtaining the flow through a cascade of blades in two dimensions has been modified to take into account the effects of the relative motion between the fluid and the machine, which includes vorticity.
The flow through the mixed-flow cascade is specified by a meridional stream surface which is mapped on to a two-dimensional plane by means of a conformai transformation. Distributed vorticity in the two-dimensional plane is related to the relative vorticity in the meridional plane through the transformation, and a solution of the flow through the cascade in the two-dimensional plane with the distributed vorticity gives a result which includes the ‘slip’ effect, as well as the usual cascade deviation.
Examples of the calculation of slip factors for radial flow machines are given and show excellent agreement with exact theories. The method can be used also for mixed flow machines, and flow angles and pressure distributions may be calculated.
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