Application of the Scully model to determine the vortex core parameters in the Francis hydro turbine

D. A. Suslov^ab, S. G. Skripkin^ab, S. I. Shtork<sup>ab

a</sup> S.S. Kutateladze Institute of Thermophysics, Siberian Division of the Russian Academy of Sciences
^b Novosibirsk State University

Abstract: This study investigates the spatial characteristics of the precessing vortex core (PVC) using the Scully vortex model, focusing on the effects of additional jet injection through streamlined bodies at the center of the runner in a Francis hydraulic turbine model. The analysis is conducted under partial load conditions, where intense precessing vortices develop, contributing to high-amplitude flow pulsations. The findings demonstrate that injection configurations leading to significant PVC suppression are associated with an increase in both the vortex radius and its precession radius. The results provide valuable insights for enhancing the stable and safe operational range of hydraulic turbines.

Keywords: Scully vortex model, precessing vortex core (PVC), Francis turbine.

Received: 23.05.2025
Revised: 08.06.2025
Accepted: 08.06.2025

DOI: 10.61011/PJTF.2025.17.60968.20385

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