Navier Stokes Computations of a Turbulent Horseshoe Vortex Around an Endwall Mounted Cylinder

Abstract

The Reynolds averaged Navier Stokes equations have been numerically solved for the case of a turbulent horseshoe vortex flow around an endwall mounted cylinder. Two different models were used, one grid containing 265,320 mesh points, and then a larger grid with 442,200 points. The two solutions obtained are compared to each other and against the experimental setup of Eckerle and Langston¹ for a turbulent endwall cylinder at Reynolds number 550,000 based on cylinder diameter. Comparisons between total pressure loss, endwall static pressures, and velocity vectors show good agreement for the smaller mesh over most of the compared flow field. For the larger mesh, the position and size of the horseshoe vortex indicate the solution has not fully converged. The reasons for the difficulty in getting the larger mesh solution to converge are discussed.