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Abstract

The paper presents a description of selected models dedicated to steam condensing flow modelling. The models are implemented into an in-house computational fluid dynamics code that has been successfully applied to wet steam flow calculation for many years now. All models use the same condensation model that has been validated against the majority of available experimental data. The state equations for vapour and liquid water, the physical model as well as the numerical techniques of solution to flow governing equations have been presented. For the single-fluid model, the Reynolds-averaged Navier-Stokes equations for vapour/liquid mixture are solved, whereas the two-fluid model solves separate flow governing equations for the compressible, viscous and turbulent vapour phase and for the compressible and inviscid liquid phase. All described models have been compared with relation to the flow through the Laval nozzle.
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Authors and Affiliations

Włodzimierz Wróblewski
Tadeusz Chmielniak
Sławomir Dykas
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Abstract

The presented paper concerns CFD optimization of the straight-through labyrinth seal with a smooth land. The aim of the process was to reduce the leakage flow through a labyrinth seal with two fins. Due to the complexity of the problem and for the sake of the computation time, a decision was made to modify the standard evolutionary optimization algorithm by adding an approach based on a metamodel. Five basic geometrical parameters of the labyrinth seal were taken into account: the angles of the seal’s two fins, and the fin width, height and pitch. Other parameters were constrained, including the clearance over the fins. The CFD calculations were carried out using the ANSYS-CFX commercial code. The in-house optimization algorithm was prepared in the Matlab environment. The presented metamodel was built using a Multi-Layer Perceptron Neural Network which was trained using the Levenberg-Marquardt algorithm. The Neural Network training and validation were carried out based on the data from the CFD analysis performed for different geometrical configurations of the labyrinth seal. The initial response surface was built based on the design of the experiment (DOE). The novelty of the proposed methodology is the steady improvement in the response surface goodness of fit. The accuracy of the response surface is increased by CFD calculations of the labyrinth seal additional geometrical configurations. These configurations are created based on the evolutionary algorithm operators such as selection, crossover and mutation. The created metamodel makes it possible to run a fast optimization process using a previously prepared response surface. The metamodel solution is validated against CFD calculations. It then complements the next generation of the evolutionary algorithm.

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Bibliography

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[2] V. Schramm. Labyrinth Seals of Maximum Sealing: A Approach to Computer-Based Form Optimization, volume 46. Logos Verlag Berlin GmbH, 2011. (in German).
[3] W. Wróblewski, S. Dykas, K. Bochon, and S. Rulik. Optimization of tip seal with honeycomb land in LP counter rotating gas turbine engine. Task Quarterly, 14(3):189–207, 2010.
[4] G. Nowak and W. Wróblewski. Cooling system optimisation of turbine guide vane. Applied Thermal Engineering, 29(2-2):567–572, 2009. doi: 10.1016/j.applthermaleng.2008.03.015.
[5] G. Nowak, W. Wróblewski, and I. Nowak. Convective cooling optimization of a blade for a supercritical steam turbine. International Journal of Heat and Mass Transfer, 55(17-18):4511– 4520, 2012. doi: 10.1016/j.ijheatmasstransfer.2012.03.072.
[6] G. Nowak and A. Rusin. Shape and operation optimisation of a supercritical steam turbine rotor. Energy Conversion and Management, 74:417–425, 2013. doi: 10.1016/j.enconman.2013.06.037.
[7] A. Jahangirian and A. Shahrokhi. Aerodynamic shape optimization using efficient evolutionary algorithms and unstructured CFD solver. Computers & Fluids, 46(1):270–276, 2011. doi: 10.1016/j.compfluid.2011.02.010.
[8] J. Antony. Design of experiments for engineers and scientists. Elsevier, 2nd edition, 2014.
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[11] T. Back. Evolutionary algorithms in theory and practice. Oxford University Press, 1996.
[12] Z. Michalewicz. Genetic Algorithms + Data Structures = Evolution Programs. Springer, 1996.
[13] V. Schramm, K. Willenborg, S. Kim, and S. Wittig. Influence of a honeycomb facing on the flow through a stepped labyrinth seal. In ASME Turbo Expo 2000: Power for Land, Sea, and Air, pages V003T01A092–V003T01A092. ASME, 2000. doi: 10.1115/2000-GT-0291.
[14] M.D. Morris. Factorial sampling plans for preliminary computational experiments. Technometrics, 33(2):161–174, 1991.
[15] B. Iooss and P. Lemaître. A review on global sensitivity analysis methods. In Dellino G. and Meloni C., editors, Uncertainty Management in Simulation-Optimization of Complex Systems, chapter 5, pages 101–122. Springer, 2015.
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[17] F. Pianosi, F. Sarrazin, and T. Wagener. A Matlab toolbox for global sensitivity analysis. Environmental Modelling & Software, 70:80–85, 2015. doi: 10.1016/j.envsoft.2015.04.009.
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Authors and Affiliations

Sebastian Rulik
1
Włodzimierz Wróblewski
1
Daniel Frączek
1

  1. Silesian University of Technology, Institute of Power Engineering and Technology, Gliwice, Poland
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Abstract

Modern gas turbine systems operate in temperatures ranging from 1200°C to even 1500°C, which creates bigger problems related to the blade material thermal strength. In order to ensure appropriate protection of the turbine blades, a sophisticated cooling system is used. Current emphasis is placed on the application of non-stationary flow effects to improve cooling conditions, e.g., the unsteady-jet heat transfer or the heat transfer enhancement using high-amplitude oscillatory motion. The presented research follows a similar direction.

A new concept is proposed of intensification of the heat transfer in the cooling channels with the use of an acoustic wave generator. The acoustic wave is generated by an appropriately shaped fixed cavity or group of cavities. The phenomenon is related to the coupling mechanism between the vortex shedding generated at the leading edge and the acoustic waves generated within the cavity area. Strong instabilities can be observed within a certain range of the free flow velocities.

The presented study includes determination of the relationship between the amplitude of acoustic oscillations and the cooling conditions within the cavity. Different geometries of the acoustic generator are investigated. Calculations are also performed for variable flow conditions. The research presented in this paper is based on a numerical model prepared using the Ansys CFX-17.0 commercial CFD code.

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Authors and Affiliations

Sebastian Rulik
Włodzimierz Wróblewski
Krzysztof Rusin
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Abstract

In this paper, numerical results of modeling of acoustic waves propagation are presented. For calculation of the acoustic fluctuations, a solution of the full non-linear Euler equation is used. The Euler equations are solved with the use of a numerical scheme of third-order accuracy in space and time. The paper shows a validation process of the described method. This method is suitable also for an aerodynamic noise assessment on the basis of unsteady mean flow field data obtained from a CFD calculations. In such case this method is called a hybrid CFD/CAA method. The proposed method is numerically decoupled with CFD solution, therefore the information about the mean unsteady flow field can be obtained using an arbitrary CFD method (solver). The accuracy of the acoustic field assessment depends on the quality of the CFD solutions. This decomposition reduces considerably the computational cost in comparison with direct noise calculations.

The presented Euler acoustic postprocessor (EAP) has been used for modeling of the acoustic waves propagation in a cavity and in the flow field around a cylinder and an aerodynamic profile.

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Authors and Affiliations

Włodzimierz Wróblewski
Tadeusz Chmielniak
Sebastian Rulik
Sławomir Dykas
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Abstract

The highly dynamic and unsteady characteristics of the cavitating flow cause many negative effects such as erosion, noise and vibration. Also, in the real application, it is inevitable to neglect the dissolved air in the water, although it is usually neglected in the previous works to reduce the complexity. The novelty of the present work is analysing the impact of dissolved air on the average/unsteady characteristics of Venturi flow by conducting sets of experimental tests. For this purpose, two different amounts of dissolved air at five pressure levels (i.e. five different sets of cavitation numbers) were considered in the study of cavitating flow inside a Venturi nozzle. The fast Fourier transform analysis of pressure fluctuations proved that the shedding frequency reduces almost by 50% to 66%, depending on the case, with adding the amount of dissolved air. However, the reduction of 14% to 25% is achieved by the vibration transducers. On the other hand, the cavity enlarges as well as bubbly flow is observed in the test chamber at a higher level of dissolved air. Furthermore, it is observed that the re-entrant jet, as the main reason for the cavity detachment, is more effective for the detachment process in cases with a lower level of dissolved air, where the re-entrant jet front penetrates more toward the leading edge.
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Authors and Affiliations

Emad Hasani Malekshah
1
Włodzimierz Wróblewski
1
Krzysztof Bochon
1
Mirosław Majkut
1
Krzysztof Rusin
1

  1. Silesian University of Technology, Department of Power Engineering and Turbomachinery, Konarskiego 18, 44-100 Gliwice, Poland

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