A three-dimensional boundary-layer analysis including heat-transfer and blade-rotation effects

An analysis has been developed for calculating three-dimensional viscous flows over arbitrary bodies through the solution of complete three-dimensional boundary-layer equations. The governing equations include the effect of blade rotation and are written in nonorthogonal surface-fitted coordinates to allow maximum flexibility. A coupled finite-difference numerical scheme is used for solving the governing equations. The accuracy of this scheme has been assessed through comparisons with known analytical/experimental results for several test cases. The present analysis has then been applied to compute viscous flows over a turbine endwall and airfoil suction surface, and fairly good correlation has been obtained with available experimental data for surface heat transfer and viscous streamline skewing.