Secondary flow in cascades

This report covers research work to investigate the secondary flow phenomena in internal flow fields analytically and experimentally. Its main objective was to develop computational procedures for internal three-dimensional rotational flow fields and to obtain experimental measurements of the three velocity components of the rotational flow in a curved duct with shear inlet velocity profile. Two formulations were developed for modeling inviscid three dimensional rotational flow fields in curved passages. The first, for a very efficient marching solution with hyperbolic equations governing the development of through flow velocity and vorticity profiles along the duct. In the second formulation, a new approach was developed to satisfy the conservation of mass in three dimensional flows by defining two dimensional streamlike functions on fixed orthogonal surfaces in the flow field. The streamlike function vorticity formulation was also tested for its ability to model viscous flow effects and their elliptic influence in a square duct.