The problem of calculating a three-dimensional flow with three families of two-dimensional solutions is considered. From a throughflow solution and several blade-to-blade solutions the boundary values of a set of transverse solutions are obtained. The resulting overdetermined boundary condition problem is solved by means of a compatibility function defining the divergence of the transverse velocity field. The influence of the latter on the blade-to-blade solution is formulated in two different ways and compared with the experiment. The new method should considerably improve the prediction of three-dimensional cascade flow presenting a large amount of streamwise vorticity in the meridional direction.

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