This paper aims to present a general view of flow problems in turbomachinery and the current levels of numerical methods for solving these problems. The flow models used for modelling phenomena in blade cascades are presented. Models of turbulence are discussed. A variety of examples of turbomachinery problems, such as steady, unsteady, multiphase and multicomponent flows, and also blade cooling are described. The actual research fields of computational fluid mechanics are presented.
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