Prediction of the Reynolds stress in a compressor passage

A prediction method for a deformed-turbulent wake flow is proposed, and a second order turbulence model is proposed for the compressible flows. The passage flow through a stator passage is superposed by the mean flow computed by the implicit MacCormack method and a wake velocity deficit function. First, the streamlines are calculated from the mean flow computation; then, along the streamlines, the second order turbulence modeling equation is solved numerically. The predictions agree qualitatively with experimental results. The perturbation method to predict the complex flows is quite practical and may be extended to more complex aerodynamic design.