Abstract

Under low flow-rate conditions, a Francis turbine exhibits precession of a vortex rope with pressure fluctuations in the draft tube. These undesirable flow phenomena can lead to deterioration of the turbine performance as manifested by torque and power output fluctuations. In order to suppress the rope with precession and a swirl component in the tube, the use of anti-swirl fins was investigated in a previous study. However, vortex rope generation still occurred near the cone of the tube. In this study, unsteady-state Reynolds-averaged Navier–Stokes analyses were conducted with a scale-adaptive simulation shear stress transport turbulence model. This model was used to observe the effects of the injection in the draft tube on the unsteady internal flow and pressure phenomena considering both active and passive suppression methods. The air injection affected the generation and suppression of the vortex rope and swirl component depending on the flow rate of the air. In addition, an injection level of 0.5%Q led to a reduction in the maximum unsteady pressure characteristics.

Highlights

  • This analysis was used to investigate the effects of air injection on the internal flow characteristics of a draft tube (DT) with anti-swirl fins for a Francis turbine under low flow-rate conditions

  • The unsteady internal flow and pressure fluctuation characteristics were observed in the presence of a vortex rope via the application of air injection from the cone of the runner

  • The unsteady-state Reynolds-averaged Navier–Stokes (RANS) equations for the incompressible flow of the model were calculated from the governing equations, which were discretized with a finite volume method

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The effects of air injection in the DT with the application of anti-swirl fins considering both active and passive suppression methods on internal flow and vortex suppression characteristics have not been systematically elucidated with low flow-rate conditions in the Francis turbine model. Unsteady-state Reynolds-averaged Navier–Stokes (RANS) equations using the SAS-SST turbulence model were employed with a three-phase (water, vapor, and air) flow analysis This analysis was used to investigate the effects of air injection on the internal flow characteristics of a DT with anti-swirl fins for a Francis turbine under low flow-rate conditions. The unsteady internal flow and pressure fluctuation characteristics were observed in the presence of a vortex rope via the application of air injection (at different flow rates) from the cone of the runner.

Specifications of the Francis Turbine Model
Numerical Analysis Methods
Discretization
Validation of the Numerical Analysis Results
Internal Flow Characteristics Relative to the Air Injection in the Draft Tube
Conclusions
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