BOS; cross-correlation; density gradient measurements; high-speed low-pressure-turbine; linear cascade; optical-flow; Schlieren technique; transonic low-Reynolds number; Background oriented schlieren; Cross-correlations; Density gradient measurements; High Speed; High-speed low-pressure-turbine; Linear cascade; Low Reynolds number; Low-pressure turbines; Optical-; Schlieren techniques; Transonic low-reynold number; Mechanical Engineering
Abstract :
[en] Qualitative and quantitative visualizations of transonic turbomachinery flows provide essential information on compressibility and Mach number effects on boundary layer development, shock-boundary layer interactions, and trailing edge flows. Background oriented Schlieren (BOS) is a relatively new optical technique that allows capturing unsteady density gradient fields through turbomachinery cascades and thus quantitative experimental data to validate transonic and supersonic blade designs. However, only very few experimental works in the open literature have successfully applied BOS to transonic turbine or compressor flows. The current study presents the application of BOS to a transonic low-pressure turbine cascade, the VKI SPLEEN C1 cascade for a range of Reynolds numbers (70,000-140,000) and transonic Mach numbers (0.90-1.00). The linear turbine cascade is tested at the von Karman Institute in the S-1/C high-speed wind tunnel. The test section is instrumented with different BOS optical setups to visualize the time-resolved density gradients through the turbine passage and at the trailing edge plane with dedicated field of views. The BOS images are processed using the classical cross-correlation algorithm, and the optical flow approach, recently introduced in BOS applications to gain spatial resolution and increased sensitivity. Steady-state density gradients of the cascade flow characterize the airfoil boundary layers, wakes, and shock waves. The results from the two data reduction methods are assessed and compared against available RANS CFD predictions. Time-resolved measurements reveal the low-frequency motion of weak shock waves generated in the blade passage using proper orthogonal decomposition (POD) and spectra analysis.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Halby, Alexandre ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M) ; Turbomachinery and Propulsion Department, Von Karman Institute for Fluid Dynamics, Belgium
Cakir, Bora O.; Turbomachinery and Propulsion Department, Von Karman Institute for Fluid Dynamics, Belgium ; Department of Energy Sciences, Lund University, Lund, Sweden
Da Valle, Lorenzo ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M) ; Turbomachinery and Propulsion Department, Von Karman Institute for Fluid Dynamics, Belgium
Lopes, Gustavo; Turbomachinery and Propulsion Department, Von Karman Institute for Fluid Dynamics, Belgium ; Département d'Aérospatiale et Mécanique, Université de Liège, Liège, Belgium
Okada, Mizuki; Von Karman Institute for Fluid Dynamics, Turbomachinery and Propulsion Department, Rhode Saint Genèse, Belgium
Lavagnoli, Sergio ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Design of Turbomachines and Propulsors (DoTP) ; Von Karman Institute for Fluid Dynamics, Turbomachinery and Propulsion Department, Rhode Saint Genèse, Belgium
Language :
English
Title :
On the Application of Background Oriented Schlieren to a Transonic Low-Reynolds Turbine Cascade
The authors acknowledge funding of the SPLEEN project by the Clean Sky 2 Joint Undertaking under the European Union Horizon 2020 research and innovation program under agreement 820883. The authors also acknowledge the support of Nicola Rosafio in providing the CFD data used in this work.
Kurzke, J., 2009, “Fundamental Differences Between Conventional and Geared Turbofans,” Turbo Expo: Power for Land, Sea, and Air, Orlando, FL.
Hodson, H., and Howell, R., 2005, “The Role of Transition in High-Lift Low-Pressure Turbines for Aeroengines,” Prog. Aerosp. Sci., 41(6), pp. 419–454.
Gier, J., and Hubner, N., 2005, “Design and Analysis of a High Stage Loading Five-Stage LP Turbine Rig Employing Improved Transition Modeling,” Turbo Expo: Power for Land, Sea, and Air, Reno, NV, pp. 759–769.
Martinstetter, M., Niehuis, R., and Franke, M., 2010, “Passive Boundary Layer Control on a Highly Loaded Low Pressure Turbine Cascade,” Turbo Expo: Power for Land, Sea, and Air, Glasgow, UK, pp. 1315–1326.
Boerner, M., and Niehuis, R., 2021, “Dynamics of Shock Waves Interacting With Laminar Separated Transonic Turbine Flow Investigated by High-Speed Schlieren and Surface Hot-Film Sensors,” ASME J. Turbomach., 143(5), p. 051010.
Schultz, D., Ashworth, D., LaGraff, J., Johnson, A., and Rigby, M., 1986, “Wake and Shock Interactions in a Transonic Turbine Stage,” AGARD 68th (B) Specialists’ Meeting, Transonic and Supersonic Phenomena in Turbomachines, Paper No. 3.
Mee, D., Baines, N., Oldfield, M., and Dickens, T., 1992, “An Examination of the Contributions to Loss on a Transonic Turbine Blade in Cascade,” ASME J. Turbomach., 114(1), pp. 155–162.
Povey, T., Oldfield, M., and Haselbach, F., 2008, “Transonic Turbine Vane Tests in a New Miniature Cascade Facility,” Proc. Inst. Mech. Eng. Part A: J. Power Energy, 222(5), pp. 529–539.
Sieverding, C., Richard, H., and Desse, J., 2003, “Turbine Blade Trailing Edge Flow Characteristics at High Subsonic Outlet Mach Number,” ASME J. Turbomach., 125(2), pp. 298–309.
Melzer, A., and Pullan, G., 2019, “The Role of Vortex Shedding in the Trailing Edge Loss of Transonic Turbine Blades,” ASME J. Turbomach., 141(4), p. 041001.
Rossiter, A., Pullan, G., and Melzer, A., 2023, “The Influence of Boundary Layer State and Trailing Edge Wedge Angle on the Aerodynamic Performance of Transonic Turbine Blades,” ASME J. Turbomach., 145(4), p. 041008.
Raffel, M., 2015, “Background-Oriented Schlieren (BOS) Techniques,” Exp. Fluids, 56(3), p. 60.
Gojani, A., Kamishi, B., and Obayashi, S., 2013, “Measurement Sensitivity and Resolution for Background Oriented Schlieren During Image Recording,” J. Vis., 16(3), pp. 201–207.
Elsinga, G., van Oudheusden, B., Scarano, F., and Watt, D., 2004, “Assessment and Application of Quantitative Schlieren Methods: Calibrated Color Schlieren and Background Oriented Schlieren,” Exp. Fluids, 36(2), pp. 309–325.
Cakir, B., Lavagnoli, S., Saracoglu, B. H., and Fureby, C., 2022, “Assessment and Application of Optical Flow in Background-Oriented Schlieren for Compressible Flows,” Exp. Fluids, 64(1), p. 11.
Alhaj, O., and Seume, J., 2010, “Optical Investigation of Profile Losses in a Linear Turbine Cascade,” Turbo Expo: Power for Land, Sea, and Air, Glasgow, UK, pp. 1503–1513.
Gong, H., Xu, J., Yu, K., Liu, S., and Liu, X., 2018, “Preliminary Measurements of Transonic Gas Turbine Linear Cascade Using Background Oriented Schlieren Technique,” 18th International Symposium on Flow Visualization (ISFV18), Zurich, Switzerland.
Sudhof, S., Shimagaki, M., General, S., and Tomita, T., 2019, “Cascade Experiments on a Supersonic Turbine Blade Row Using Background-Oriented Schlieren Imaging,” 32th International Symposium on Space Technology and Science, Fukui, Japan.
Wernet, M., 2019, “Real-Time Background Oriented Schlieren: Catching Up With Knife Edge Schlieren,” Tech. Rep. TM-2019-220227.
Simonassi, L., Lopes, G., Gendebien, S., Torre, A., Patinios, M., Lavagnoli, S., Zeller, N., and Pintat, L., 2022, “An Experimental Test Case for Transonic Low-Pressure Turbines—Part I: Rig Design, Instrumentation and Experimental Methodology,” Turbo Expo: Power for Land, Sea, and Air, Rotterdam, Netherlands, 2022.
Lopes, G., Simonassi, L., Torre, A., Patinios, M., and Lavagnoli, S., 2022, “An Experimental Test Case for Transonic Low-Pressure Turbines—Part 2: Cascade Aerodynamics at On-And Off-Design Reynolds and Mach Numbers,” Turbo Expo: Power for Land, Sea, and Air, Rotterdam, Netherlands, 2022.
Rosafio, N., Lopes, G., Salvadori, S., Lavagnoli, S., and Misul, D., 2023, “RANS Prediction of Losses and Transition Onset in a High-Speed Low-Pressure Turbine Cascade,” Energies, 16(21).
Lopes, G., Simonassi, L., and Lavagnoli, S., 2023, “Impact of Unsteady Wakes on the Secondary Flows of a High-Speed Low-Pressure Turbine Cascade,” Int. J. Turbomach. Propul. Power, 8(4), p. 36.
Simonassi, L., Lopes, G., and Lavagnoli, S., 2023, “Effects of Periodic Incoming Wakes on the Aerodynamics of a High-Speed Low-Pressure Turbine Cascade,” Int. J. Turbomach. Propul. Power, 8(3), p. 35.
Cakir, B. O., Lavagnoli, S., Saracoglu, B. H., and Fureby, C., 2024, “Sensitivity and Resolution Response of Optical Flow-Based Background-Oriented Schlieren to Speckle Patterns,” Meas. Sci. Technol., 35(7), p. 075201.
Hargather, M. J., and Settles, G. S., 2012, “A Comparison of Three Quantitative Schlieren Techniques,” Opt. Lasers Eng., 50(1), pp. 8–17.
Da Valle, L., 2024, https://www.mathworks.com/matlabcentral/fileexchange/ 105605-bos-setup-generator.
Bay, H., Ess, A., Tuytelaars, T., and Van Gool, L., 2008, “Speeded-Up Robust Features (SURF),” Comput. Vis. Image Understand., 110(3), pp. 346–359.
Westerweel, J., 1997, “Fundamentals of Digital Particle Image Velocimetry,” Meas. Sci. Technol., 8(12), pp. 1379–1392.
Loeb, G., White, M., and Merzenich, M., 1983, “Spatial Cross-Correlation,” Biol. Cybern., 47(3), pp. 149–163.
Keane, R., and Adrian, R., 1992, “Theory of Cross-Correlation Analysis of PIV Images,” Appl. Sci. Res., 49(3), pp. 191–215.
Scarano, F., and Riethmuller, M., 2000, “Advances in Iterative Multigrid PIV Image Processing,” Exp. Fluids, 29(1), pp. S051–S060.
Davies, E. R., 2012, Computer and Machine Vision (Fourth Edition), 4th ed., Academic Press, Boston, MA, pp. 505–522.
Atcheson, B., Heidrich, W., and Ihrke, I., 2009, “An Evaluation of Optical Flow Algorithms for Background Oriented Schlieren Imaging,” Exp. Fluids, 46(3), pp. 467–476.
Horn, B. K. P., and Schunck, B. G., 1981, “Determining Optical Flow,” Artif. Intell., 17(1), pp. 185–203.
Anandan, P., 1989, “A Computational Framework and an Algorithm for the Measurement of Visual Motion,” Int. J. Comput. Vis., 2(3), pp. 283–310.
Sabnis, K., and Babinsky, H., 2023, “A Review of Three-Dimensional Shock Wave–Boundary-Layer Interactions,” Prog. Aerosp. Sci., 143, p. 100953.
Wieneke, B., 2015, “PIV Uncertainty Quantification From Correlation Statistics,” Meas. Sci. Technol., 26(7), p. 074002.
Gostelow, J.P., Mahallati, A., Andrews, S. A., and Carscallen, W. E., 2009, “Measurement and Computation of Flowfield in Transonic Turbine Nozzle Blading With Blunt Trailing Edges,” Turbo Expo: Power for Land, Sea, and Air, Orlando, FL.
Graham, C. G., and Kost, F. H., 1979, “Shock Boundary Layer Interaction on High Turning Transonic Turbine Cascades,” Turbo Expo: Power for Land, Sea, and Air, San Diego, CA.
Michalek, J., and Straka, P., 2013, “A Comparison of Experimental and Numerical Studies Performed on a Low-Pressure Turbine Blade Cascade at High-Speed Conditions, Low Reynolds Numbers and Various Turbulence Intensities,” J. Therm. Sci., 22, pp. 413–423.
Saracoglu, B., 2012, “Turbine Base Pressure Active Control Through Trailing Edge Blowing,” Ph.D. Thesis, Wright State University, Dayton, OH.