Abstract

Existing Reynolds Averaged Navier–Stokes-based transition models do not accurately predict separation induced transition for low pressure turbines. Therefore, in this paper, a novel framework based on computational fluids dynamics (CFD) driven machine learning coupled with multi-expression and multi-objective optimization is explored to develop models which can improve the transition prediction for the T106A low pressure turbine at an isentropic exit Reynolds number of Re2is=100,000. Model formulations are proposed for the transfer and laminar eddy viscosity terms of the laminar kinetic energy transition model using seven non-dimensional pi groups. The multi-objective optimization approach makes use of cost functions based on the suction-side wall-shear stress and the pressure coefficient. A family of solutions is thus developed, whose performance is assessed using Pareto analysis and in terms of physical characteristics of separated-flow transition. Two models are found which bring the wall-shear stress profile in the separated region at least two times closer to the reference high-fidelity data than the baseline transition model. As these models are able to accurately predict the flow coming off the blade trailing edge, they are also able to significantly enhance the wake-mixing prediction over the baseline model. This is the first known study which makes use of ‘CFD-driven’ machine learning to enhance the transition prediction for a non-canonical flow.

Highlights

  • As air travel is predicted to see continued growth, the aviation industry is focused on further improving the efficiency of gas turbines

  • This causes a change in the boundary layers from turbulent at takeoff to transitional at cruise, which is the major portion of the flight

  • Based on the shortcomings of the laminar kinetic energy (LKE) model (Section 2.2.1), we propose to modify the laminar eddy viscosity term from the LKE production term (Pl ) and the transition parameter (ψ) from the transfer term (R) using the non-dimensional pi groups

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Summary

Introduction

As air travel is predicted to see continued growth, the aviation industry is focused on further improving the efficiency of gas turbines. Any technological advances which incrementally increase gas turbine efficiency can save millions of dollars, reduce carbon emissions, and create a sustainable future. If the efficiency of the LPT increases by 1%, the specific fuel consumption will decrease by 0.6–0.8% [1], translating into considerable fuel savings and emissions reductions, considering the volume of operations. LPT design and analysis is challenging as there is a large variation in flow physics between the aircraft taking off and entering cruise conditions. The Reynolds number of LPTs ranges from 0.5 × 105 at cruise to 5 × 105 at takeoff [2]. This causes a change in the boundary layers from turbulent at takeoff to transitional at cruise, which is the major portion of the flight

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