Calculation of potential flow with separation in a right-angled elbow with unequal branches

Abstract

A method developed by Roshko (1953a, b) has been applied to the case of flow round a right-angled elbow, in which the fluid separates at the inner corner at a speed which may be higher than the velocity of the separated flow far downstream. Numerical results have been evaluated and are presented for values of the ratio of the channel widths, downstream to upstream of the elbow, equal to 0·1 and 1·0.The elbow may be regarded as one half of a two-dimensional representation of an axisymmetric plate valve, on which experiments indicate considerable variation in performance, the discharge coefficient being found to depend to a marked extent on the length of the valve land.