A fast calculation method, able to predict three, dimensional axisymmetric viscous internal flows on rotating and stationary surfaces in turbomachinery components has been developed. Modern high bypass turbine engines are characterized by axisymmetric parts such as inlets, nacelles, the prediffuser whose primary function is the efficient transfer of flow from one component to another. The flow field in such ducts are characterized by streamline curvature and divergence resulting from sharp contour and rapid area rotations, with the appearance of high peripheral velocity components.
The detailed calculation of the flow field through the axisymmetric parts requires a solution of the three-dimensional Navier-Stokes equations. However, conventional design systems simplify the flow pattern to a two dimensional one. The proposed method is based on the two-zone model and uses the notions of the integral formulation for the meridional direction. The meridional vorticity transport differential formulation, in a modified form is used for the peripheral direction to include the dynamics of passing from stationary to rotating parts and vice-versa. The resulting algorithms are sufficiently versatile and reliable to be used as a part of a design system for industrial applications.
A series of test cases demonstrate the applicability of the proposed method to practical problems having moderate skew, sudden application of a transverse motion and moderate cross-sectional area variations with stationary or rotating boundaries.