The tips of unshrouded, high-pressure turbine blades are prone to significantly high heat loads. The gap between the tip and over-tip casing is the root cause of undesirable over-tip leakage flow that is directly responsible for high thermal material degradation and is a major source of aerodynamic loss within a turbine. Both must be minimised for the safe working and improved performance of future gas-turbines. A joint experimental and numerical study is presented to understand and characterise the heat transfer and aerodynamics of unshrouded blade tips. The investigation is undertaken with the use of a squealer or cavity tip design, known for offering the best overall compromise between the tip aerodynamics, heat transfer and mechanical stress. Since there is a lack of understanding of these tips at engine-realistic conditions, the present study comprises of a detailed analysis using a high-speed linear cascade and computational simulations. The aero-thermal performance is studied to provide a better insight into the behaviour of squealer tips, the effects of casing movement and tip cooling. The linear cascade environment has proved beneficial for its offering of spatially-resolved data maps and its ability to validate computational results. Due to the unknown tip gap height within an entire engine cycle, the effects of gap height are assessed. The squealer's aero-thermal performance has been shown to be linked with the gap height, and qualitative different trends in heat transfer are established between low-speed and high-speed tip flow regimes. To the author's knowledge, the present work is the first of its kind, providing comprehensive aero-thermal experimental research and a dataset for a squealer tip at engine-representative transonic conditions. It is also unique in terms of conducting direct and systematic validations of a major industrial computational fluid dynamics method for aero-thermal performance prediction of squealer tips at enginerepresentative transonic conditions. Finally, after recognising the highest heat loads are found on the squealer rims, a novel shaped squealer tip has been investigated to help improve the thermal performance of the squealer with a goal to improve its durability. It has been discovered that a seven percent reduction in tip temperature can be achieved through incorporating a shaped squealer and maximising the internal cooling performance.

World resources are becoming more and more scarce due to the increasing demand. Hence, the industry is moving towards sustainable development in order to suffice the needs of the future generations. Electricity is one such resources that account for 90% of the daily utility. In Sweden alone 378 TWh of electricity is consumed over a year. The major source of production of electricity is the fossil fuels, but due to development in the renewable resource's the electricity is also produced using solar, wind and geothermal energy. However, no production process is 100% efficient and hence, there is loss of energy in the form of waste. Organic Rankine Cycle Turbine (ORC) is a technology which is under the focus of the researcher and the industry to convert this wasteful energy into useful energy. Designing of these machines is a challenging task which requires careful consideration of every design parameter, i.e. with the change in every parameter the losses in the turbine either increase or decrease. In this study, effect of the parameters such as inlet mach number, stagger angle, inlet angle and pitch to chord is studied to see the effect on the profile loss. Since ANSYS Fluent works with 2D unlike ANSYS CFX which work with pseudo 2D geometry, ANSYS Fluent was used for investigating profile loss. Furthermore, a methodology is defined to investigate the tip leakage loss based on the geometry provided by the Againity AB for future studies. Tip leakage loss simulations were carried out in ANSYS CFX turbo mode due to its user friendly interface for simulating turbo machinery flows. The results of the profile loss investigation suggested a range for parameters where the profile loss is observed to be comparatively lower than elsewhere. The methodology proposed for tip leakage loss investigation paved a pathway for the further improvement with respect to the future studies.

L'objectif de la présente étude est d'analyser la modélisation de la turbulence de simulations en moyenne de Reynolds (RANS) dans le cadre d'écoulements de type turbomachines, en utilisant des simulations aux grandes échelles (SGE) comme référence. L'étude porte sur deux cas test: un décollement de coin dans une grille d'aubes rectiligne, et un écoulement de jeu pour un aubage isolé dans un jet. Deux lois de comportement, la loi de comportement de Boussinesq et la loi de comportement quadratique (quadratic constitutive relation ou QCR), sont analysées, avec deux versions du modèle de turbulence k-omega de Wilcox. Les lois de comportement étudiées reposent sur deux hypothèses: une hypothèse d'alignement entre le tenseur de Reynolds et un tenseur construit à partir de l'écoulement moyen, et une hypothèse sur la viscosité turbulente. L'hypothèse d'alignement est étudiée à partir de la SGE, pour laquelle les deux tenseurs sont indépendamment connus, en utilisant un indicateur construit sur le produit scalaire des tenseurs. Les résultats sont présentés sous forme d'une fonction de répartition de la valeur de l'indicateur pour le domaine complet, puis pour trois sous-domaines d'intérêt: l'entrée, une région où l'écoulement interagit fortement avec les parois, et une région où l'écoulement est fortement tourbillonnaire. L'hypothèse d'alignement n'est que rarement valide pour la loi de comportement de Boussinesq. Pour la QCR, les résultats sont meilleurs en entrée, comparé à la loi de Boussinesq. Il ne sont cependant pas meilleurs pour les régions où l'écoulement est plus tourbillonnaire. Une amélioration de la loi de comportement est nécessaire pour pouvoir faire progresser la modélisation turbulente en RANS. En revanche, l'utilisation de l'énergie cinétique turbulente et du taux de dissipation spécifique semble correcte pour estimer la valeur de la viscosité turbulente. L'analyse de la modélisation de l'équation d'énergie cinétique turbulente (ECT) est réalisée au travers d'une comparaison terme à terme avec l'équation d'ECT résolue par la SGE. Les résultats SGE présentent une turbulence qui n'est pas à l'équilibre : la production et la dissipation ne sont pas superposées, et le terme de transport est important. Pour le RANS, la turbulence est à l'équilibre : la production et la dissipation sont superposées, et le terme de transport est de faible intensité. Un modèle de turbulence qui prend en compte le déséquilibre est nécessaire pour améliorer ce point. En dernier lieu, une nouvelle formulation hybride RANS/SGE est proposée, fondée sur la distance à la paroi en unités de paroi. La formulation est validée dans un canal bi-périodique et un premier essai est réalisé sur le cas de décollement de coin, mais d'autres analyses sont nécessaires avant que cette formulation ne soit fonctionnelle. / The present study aims at analysing turbulence modelling in Reynolds-averaged Navier-Stokes (RANS) simulations, in the context of turbomachinery flows, using large-eddy simulations (LES) as references. Two test cases are considered: a corner separation (CS) flow in a linear compressor cascade, and a tip-leakage (TL) flow of a single blade in a jet. Two constitutive relations, the Boussinesq constitutive relation and the quadratic constitutive relation (QCR), are investigated, with two versions of Wilcox's $k-\omega$ turbulence model. The studied constitutive relations rely on two hypotheses: an alignment hypothesis between the Reynolds stress tensor and a mean flow tensor, and an hypothesis on the turbulent viscosity. The alignment hypothesis is investigated using LES, where both the tensors are known independently, with an indicator built on the inner product of the tensors. The results are presented as probability density functions of the indicator value for the entire domain first, and then for three specific areas of interest: the inlet area, similar to a boundary-layer flow, an area of strong interaction between the flow and the walls (CS: passage area, TL: tip clearance) and an area of highly vortical flow (CS: separation wake, TL: tip-leakage vortex). The alignment hypothesis is rarely verified in any area for the Boussinesq constitutive relation. For the QCR, the results are improved for the inlet areas compared to the Boussinesq constitutive relation, but no significant improvement is found in the highly vortical regions. An improvement of the constitutive relation is needed in order to improve the RANS turbulence modelling. In contrast, the use of the turbulent kinetic energy and the specific dissipation rate appears quite correct to estimate the turbulent viscosity. The modelling of the RANS turbulent kinetic energy (TKE) budget equation is investigated through a term to term comparison with the resolved LES TKE budget equation. The LES presents a turbulence that is not at equilibrium, with the production and the dissipation not superimposed, and an important amount of transport. This differs from the RANS models, at equilibrium: the production and the dissipation are superimposed, with a small amount of transport. The development of a non-equilibrium turbulence model for RANS simulations could improve this aspect of turbulence modelling. Finally, a new hybrid RANS-LES formulation, based on the wall distance in wall units, is also proposed. It is validated on a bi-periodical channel flow, and a first attempt is made on the corner separation case, but further investigations are still needed for the model to be fully operational.

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