Abstract

Abstract In order to increase the impact of cascade tests on the design of low-pressure turbines (LPT), the end-wall geometry must be taken into account. Even if, given the high aspect ratio of LPT bladings, profile loss is expected to be the major loss source, the evolving secondary flow phenomena in the end-wall region can contribute up to 40% of loss generation. In addition, the growth of end-wall boundary layers introduces blockage effects on the otherwise undisturbed, free-stream flow away from the end-walls. Scale-resolving computational fluid dynamics have in the past been able to shed light on the mechanisms driving the evolution of vorticity and loss generation in the end-wall region. The majority of those past studies, however, have been conducted with spanwise-parallel end-walls. The present paper considers the MTU-T161 LPT cascade with spanwise-diverging end-walls, which feature in many real engines. The diverging gas path adds another layer of complexity to the flow field. To study the aerodynamic performance of this cascade, wall-resolved large-eddy simulations (LES) and Reynolds-Averaged Navier-Stokes (RANS) analyses are performed at engine-relevant conditions of isentropic exit Reynolds number of 90,000 and isentropic exit Mach number of 0.6 with proven computational fluid dynamic solvers. Firstly, the LES results are validated against experimental data. Then, in separate simulations, the momentum thickness of the incoming boundary layers is systematically varied, as the resulting end-wall flow downstream of the blade is highly dependent on the state of the incoming end-wall flow. The data-rich results are used to perform a detailed decomposition of the various contributions to loss, to deepen the understanding of loss generation mechanisms in LPT flows in an engine-like, spanwise-divergent gas path. Lastly, a rigorous comparison between the results from LES and RANS shows there is scope for improvement in the capability of standard transition/turbulence closures in accurately reproducing three-dimensional flow features. This is needed if lower-order numerical tools are to be effective in driving the design of next-generation aeronautical LPTs.

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