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Analysis and reduction of spurious displacements in high-framing-rate background-oriented Schlieren

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Abstract

Spurious displacements (SDs) associated with high-framing-rate background-oriented Schlieren (BOS) measurements were investigated experimentally in this study. To obtain the SDs, a multiple-pass cross-correlation algorithm was applied to reference/data images on a background printed with random dot pattern. Four sets of image pairs were dedicatedly selected to characterize the SDs. To isolate the SDs unique to the high-framing-rate BOS, measures were taken to minimize the contributions from other sources. Results showed that the SDs distinctive in high-framing-rate BOS measurements can be categorized according to their characteristic time: spatially uniform and fast oscillating SD (F-SD) that could be resolved during one recording event and non-uniform slowly varied SD (S-SD) that only become identifiable after several minutes time intervals between the two subsequent recordings. The proper boundary conditions (BCs) were proposed for solving the Poisson equation of the displacement fields contaminated by the SDs. A method allowing in-situ mitigation of both SDs was also proposed by introducing one additional light path into the BOS setup. Experiments on quasi-two-dimensional helium jets were conducted with and without acoustic excitations. The results confirmed the effectiveness of the proposed method to remove the SDs in both steady and unsteady flows.

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References

  • Agrawal A, Alammar K, Gollahalli S (2002) Application of rainbow schlieren deflectometry to measure temperature and oxygen concentration in a laminar gas-jet diffusion flame. Exp Fluids 32(6):689–691

    Article  Google Scholar 

  • Atcheson B, Heidrich W, Ihrke I (2009) An evaluation of optical flow algorithms for background oriented schlieren imaging. Exp Fluids 46(3):467–476

    Article  Google Scholar 

  • Beermann R, Quentin L, Pösch A, Reithmeier E, Kästner M (2017) Background oriented schlieren measurement of the refractive index field of air induced by a hot, cylindrical measurement object. Appl Opt 56(14):4168

    Article  Google Scholar 

  • Cozzi F, Göttlich E, Angelucci L, Dossena V, Guardone A (2017) Development of a background-oriented schlieren technique with telecentric lenses for supersonic flow. J Phys Conf Ser 778(1):012006. https://doi.org/10.1088/1742-6596/778/1/012006

    Article  Google Scholar 

  • Dalziel SB, Hughes GO, Sutherland BR (2000) Whole-field density measurements by ’synthetic schlieren’. Exp Fluids 28(4):322–335

    Article  Google Scholar 

  • Elsinga GE, Van Oudheusden BW, Scarano F, Watt DW (2004) Assessment and application of quantitative schlieren methods: calibrated color schlieren and background oriented schlieren. Exp Fluids 36(2):309–325

    Article  Google Scholar 

  • Feng J, Okamoto K, Tsuru D, Madarame H, Fumizawa M (2002) Visualization of 3D gas density distribution using optical tomography. Chem Eng J 86(3):243–250

    Article  Google Scholar 

  • Gojani AB, Kamishi B, Obayashi S (2013) Measurement sensitivity and resolution for background oriented schlieren during image recording. J Vis 16(3):201–207

    Article  Google Scholar 

  • Goldhahn E, Seume J (2007) The background oriented schlieren technique: sensitivity, accuracy, resolution and application to a three-dimensional density field. Exp Fluids 43(2–3):241–249

    Article  Google Scholar 

  • Greenberg PS, Klimek RB, Buchele DR (1995) Quantitative rainbow schlieren deflectometry. Appl Opt 34(19):3810–3825

    Article  Google Scholar 

  • Hariharan P (2007) Basics of Interferometry

    Chapter  Google Scholar 

  • Hayasaka K, Tagawa Y, Liu T, Kameda M (2016) Optical-flow-based background-oriented schlieren technique for measuring a laser-induced underwater shock wave. Exp Fluids 57(12):1–11

    Article  Google Scholar 

  • van Hinsberg NP, Rösgen T (2014) Density measurements using near-field background-oriented Schlieren. Exp Fluids 55(4):1–11

    Google Scholar 

  • Lang HM, Oberleithner K, Paschereit CO, Sieber M (2017) Measurement of the fluctuating temperature field in a heated swirling jet with BOS tomography. Exp Fluids 58(7):1–21

    Article  Google Scholar 

  • Liu T, Shen L (2008) Fluid flow and optical flow. J Fluid Mech 614:253–291

    Article  MathSciNet  Google Scholar 

  • Meier G (2002) Computerized background-oriented schlieren. Exp Fluids 33(1):181–187

    Article  Google Scholar 

  • Mizukaki T (2010) Visualization of compressible vortex rings using the background-oriented schlieren method. Shock Waves 20(6):531–537

    Article  Google Scholar 

  • Ota M, Hamada K, Kato H, Maeno K (2011) Computed-tomographic density measurement of supersonic flow field by colored-grid background oriented schlieren (CGBOS) technique. Meas Sci Technol 22(10)

    Article  Google Scholar 

  • Raffel M (2015) Background-oriented schlieren (BOS) techniques. Exp Fluids 56(3):1–17

    Article  Google Scholar 

  • Raffel M, Richard H, Meier GE (2000) On the applicability of background oriented optical tomography for large scale aerodynamic investigations. Exp Fluids 28(5):477–481

    Article  Google Scholar 

  • Richard H, Raffel M (2001) Principle and applications of the background oriented schlieren (BOS) method. Meas Sci Technol 12(9):1576–1585

    Article  Google Scholar 

  • Settles GS, Hargather MJ (2017) A review of recent developments in schlieren and shadowgraph techniques. Meas Sci Technol 28(4)

    Article  Google Scholar 

  • Stadler H, Bauknecht A, Siegrist S, Flesch R, Wolf CC, van Hinsberg N, Jacobs M (2017a) Background-oriented schlieren imaging of flow around a circular cylinder at low Mach numbers. Exp Fluids 58(9):1–12

    Article  Google Scholar 

  • Stadler H, Flesch R, Maldonado D (2017b) On the influence of wind on cavity receivers for solar power towers: flow visualisation by means of background oriented schlieren imaging. Appl Thermal Eng 113:1381–1385

    Article  Google Scholar 

  • Theunissen R, Scarano F, Riethmuller M (2008) Adaptive PIV with variable interrogation window size and shape. Meas Sci Technol 18:275–287

    Article  Google Scholar 

  • Tokgoz S, Geisler R, Van Bokhoven LJ, Wieneke B (2012) Temperature and velocity measurements in a fluid layer using background-oriented schlieren and PIV methods. Meas Sci Technol 23(11)

    Article  Google Scholar 

  • Venkatakrishnan L, Meier GEA (2004) Density measurements using the background oriented Schlieren technique. Exp Fluids 37(2):237–247

    Article  Google Scholar 

  • Verso L, Liberzon A (2015) Background oriented schlieren in a density stratified fluid. Rev Sci Instrum 86(10)

    Article  Google Scholar 

  • Yamamoto S, Tagawa Y, Kameda M (2015) Application of background-oriented schlieren (BOS) technique to a laser-induced underwater shock wave. Exp Fluids 56(5):1–7

    Article  Google Scholar 

Download references

Acknowledgements

This study is supported by the Swiss National Science Foundation under grant 160579. Authors would like to thank Prof. Thomas Rosgen from ETH Zurich for the helpful discussion.

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  1. CAPS Laboratory, Department of Mechanical and Process Engineering, ETH Zurich, 8092, Zurich, Switzerland

    Yuan Xiong, Markus Weilenmann & Nicolas Noiray

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  1. Yuan Xiong
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  2. Markus Weilenmann
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  3. Nicolas Noiray
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Correspondence to Yuan Xiong.

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Xiong, Y., Weilenmann, M. & Noiray, N. Analysis and reduction of spurious displacements in high-framing-rate background-oriented Schlieren. Exp Fluids 61, 49 (2020). https://doi.org/10.1007/s00348-020-2879-y

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  • DOI: https://doi.org/10.1007/s00348-020-2879-y

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