A combined method for solving the direct problem of the hydrodynamics of the airfoil cascades of turbomachines

The problem of flow of an incompressible fluid over an airfoil cascade can be solved by a variety of methods including the method of conformal mapping and the method of integral equations. Here, an approach combining these two methods is proposed which makes it possible to significantly improve the accuracy of the solution and to widen the range of cascade types which can be calculated. A software implementation of the combined method is described, and results obtained for 14 cascades are shown to have a relative mean error of 11.8 percent.