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Abstract
A robust and fully predictive mathematical representation has been derived to predict the swirl ratio, pressure, and torque in enclosed rotorstator cavities. For the flow regime of interest, turbulent boundary layers form on the rotor and stator, between which there is an inviscid fluid core. Utilising the momentumintegral equations with suitable assumptions and the continuity of mass quation, governing equations are derived for the flow behaviour, with the assumption that the swirl ratio is dependent on the radius. Predictive initial conditions are formulated and a robust, computationally inexpensive numerical technique is implemented and predictions are shown to be in reasonable agreement with existing experimental data. The swirl ratio was proven to be highly dependent on the radius, with the distribution modified by the shroud and hub conditions. Additionally, the effects of two geometrical parameters were studied, namely the gap ratio and nondimensional inner radius. As the gap ratio increases from 0:05 to 0:5, the swirl ratio at the outer radius decreases from 0:56 to 0:35, leading to an increase of torque coefficient from 0:38 to 0:44. The swirl ratios for different inner radii differ at the inner part of the cavity whilst converging to a single value at the outer radius. The presented model can easily be integrated in the design code for gas turbine engines, contributing to the design of more efficient engines.
Original language  English 

Article number  105115 
Journal  Physics of Fluids 
Volume  34 
Issue number  10 
Early online date  10 Oct 2022 
DOIs  
Publication status  Published  31 Oct 2022 
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Dive into the research topics of 'Prediction of flows in enclosed rotorstator cavities'. Together they form a unique fingerprint.Projects
 1 Finished

Experimental and Theoretical Modelling of Hot Gas Ingestion through GasTurbine Rim Seals
Lock, G., Robinson, K., Sangan, C. & Wilson, M.
Engineering and Physical Sciences Research Council
12/02/13 → 10/08/16
Project: Research council