On some features of hydrodynamic interaction between blade rows in turbomachines

The problem of the hydrodynamic interaction of turbomachine blade rows (cascades) is of great practical interest and is one of the most interesting problems from the point of view of the physical features of the resulting liquid or gas flow. Currently, it is extremely difficult to solve this problem by direct calculation of the three-dimensional Euler or Navier–Stokes equations. Therefore, efficient algorithms for successive calculations of exciting forces on blade cascades are developed using the model of ideal incompressible fluid flow past two relatively moving cascades which is uniform at infinity upstream of the cascades. This model is based on the assumption of low fluid velocity and the hypothesis of cylindrical cross-sections stating that the streamline surfaces are cylindrical surfaces, on each of which the flow is considered independently.