Abstract

Modelling of the flow in the cavities between rotor and stator in turbomachines (e.g. pumps or turbines) is a task of great interest. Correctly evaluated pressure and velocity fields enable calculation of the disk losses and therefore assessment of efficiency. It is also crucial for determination of axial thrust and thus design of the bearings. The study demonstrates abilities of various turbulence models to describe the flow in a narrow gap between rotating and stationary disks. Numerical simulations were performed in order to find out the ability of particular models to capture unstable structures appearing during specific operating conditions as well as to calculate the velocity profiles precisely. Large Eddy Simulation (LES), Scale Adaptive Simulation (SAS), Detached Eddy Simulation (DES), Reynolds stress model (RSM) and SSTk–ωmodel were used. Obtained results were also compared with experimental measurement published by Viazzo et al. [1]

Highlights

  • The flow of a fluid between rotating and stationary disk received attention due to its applicability to many industrial and scientific problems

  • The aim of this study is to explore and compare the capabilities of particular models to capture instabilities in rotor-stator cavities and their capability to describe the velocity profile precisely

  • The other turbulence models failed to detect the coherent structures in rotor-stator cavity, as document Fig. 6–9

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Summary

Introduction

The flow of a fluid between rotating and stationary disk received attention due to its applicability to many industrial and scientific problems. Bödewadt [4] followed his predecessor with study of flow near a stationary disk in rotating fluid. Smith [5] noticed disturbances in form of waves or vortices dependant on Reynolds number He carried out experiments with rotating disk boundary layer and observed fluctuations in a narrow range of Reynolds numbers below the transition to turbulence. Faller [6] described the second instability occurring in lower Reynolds numbers, which is known as Type 2 or Type A instability. It forms as spiral vortices, it has opposite direction to Type 1 instability

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