A rigorous treatment is given of the problem of determining the two-dimensional potential flow of incompressible fluid around arbitrary turbine blades in cascade. The flow problem is resolved by making use of the methods of conformal representation. As in the author's previous paper, the even-numbered blade profiles are transformed into one, the odd-numbered ones into the other of two concentric circles, so that the region about the turbine blades is mapped onto the concentric circular ring region between the two circles. But the process of the transformation is much more simplified and the labour of numerical calculations is considerably reduced.