Abstract

In the side-chambers of radial turbomachinery, which are rotor–stator cavities, complex flow patterns develop that contribute substantially to axial thrust on the shaft and frictional torque on the rotor. Moreover, leakage flow through the side-chambers may occur in both centripetal and centrifugal directions which significantly influences rotor–stator cavity flow and has to be carefully taken into account in the design process: precise correlations quantifying the effects of rotor–stator cavity flow are needed to design reliable, highly efficient turbomachines. This paper presents an experimental investigation of centripetal leakage flow with and without pre-swirl in rotor–stator cavities through combining the experimental results of two test rigs: a hydraulic test rig covering the Reynolds number range of 4 × 10 5 ≤ R e ≤ 3 × 10 6 and a test rig for gaseous rotor–stator cavity flow operating at 2 × 10 7 ≤ R e ≤ 2 × 10 8 . This covers the operating ranges of hydraulic and thermal turbomachinery. In rotor–stator cavities, the Reynolds number R e is defined as R e = Ω b 2 ν with angular rotor velocity Ω , rotor outer radius b and kinematic viscosity ν . The influence of circumferential Reynolds number, axial gap width and centripetal through-flow on the radial pressure distribution, axial thrust and frictional torque is presented, with the through-flow being characterised by its mass flow rate and swirl angle at the inlet. The results present a comprehensive insight into the flow in rotor–stator cavities with superposed centripetal through-flow and provide an extended database to aid the turbomachinery design process.

Highlights

  • In rotor–stator cavities, which are found in all radial turbomachines, complex flow patterns occur and influence axial thrust on the shaft as well as disc-friction torque

  • Experimental results of two rotor–stator test rigs are combined to study how disc torque, radial pressure distribution and axial thrust are influenced by Reynolds number, cavity width, centripetal through-flow and angular momentum flux into the cavity

  • For Reynolds numbers Re ≥ 3 × 106, torque coefficient decreases significantly more slowly with increasing Reynolds number. This behaviour is observed in two different test rigs with two different compressible fluids

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Summary

Introduction

In rotor–stator cavities, which are found in all radial turbomachines, complex flow patterns occur and influence axial thrust on the shaft as well as disc-friction torque. Using the 1/7 power law for the boundary layer velocity profiles, they derived a theoretical model for the core swirl ratio K (r ) which is calibrated using the measurement results The validity of their model is reported for a wide range of Reynolds numbers and through-flow mass fluxes. Will [6] investigated centripetal and centrifugal flow in a rotor–stator cavity, using analytical, experimental and numerical methods He developed a new one-dimensional flow model of core swirl ratio, assuming separated boundary layers and using the logarithmic law of the wall. Experimental results of two rotor–stator test rigs are combined to study how disc torque, radial pressure distribution and axial thrust are influenced by Reynolds number, cavity width, centripetal through-flow and angular momentum flux into the cavity.

Procedures
Closed Cavity
Torque Coefficient
Radial Pressure Distribution
Axial Thrust Coefficient
Centripetal Through-Flow
Large Test Rig
Small Test Rig
Findings
Conclusions
Full Text
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