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A cross-correlation velocimetry technique for breakup of an annular liquid sheet

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Abstract

A novel experimental technique for studying the stability of the breakup of a two-phase flow is presented. High-speed backlit photography is used to capture realisations of the unstable mixing layer, and the edge velocity is derived in order to measure the effects of parameters such as gas/liquid momentum ratio, Reynolds and Weber Number. This has traditionally been an edge detection problem that introduces additional uncertainty. Here, a cross-correlation solution is presented, which overcomes the limitations of threshold techniques. Practical application is demonstrated for an atomising annular liquid sheet under several conditions. Sensitivity due to edge blurring and noise is quantified by artificial analysis. Sensitivity analysis shows accuracy and precision to permit sub-pixel precise velocity and stability measurements up to 0.6 sheet thicknesses from the nozzle exit at the conditions studied.

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References

  • Bracewell R (1986) The fourier transform and its applications. McGraw-Hill, New York

    Google Scholar 

  • Bremond N, Clanet C, Villermaux E (2007) Atomization of undulating liquid sheets. J Fluid Mech 585:421–456

    Article  MATH  MathSciNet  Google Scholar 

  • Canny J (1986) A computational approach to edge detection. IEEE Trans Pattern Anal Mach Intell 8:679–698

    Article  Google Scholar 

  • Carvalho I, Heitor M (1998) Liquid film break-up in a model of a prefilming airblast nozzle. Exp Fluids 24:408–415

    Article  Google Scholar 

  • Eggers J, Emmanuel V (2008) Physics of liquid jets. Rep Prog Phys 71(3):036601

    Article  Google Scholar 

  • Fincham A, Spedding G (1997) Low cost, high resolution DPIV for measurement of turbulent fluid flow. Exp Fluids 23:449–462

    Article  Google Scholar 

  • Gorokhovski M, Jouanguy J, Chtab-Desportes A (2009) Stochastic model of the near-to-injector spray formation assisted by a high-speed coaxial gas jet. Fluid Dynam Res 41:1–15

    Article  Google Scholar 

  • Healey G, Kondepudy R (1992) Modeling and calibrating CCD cameras for illumination insensitive machine vision. In: Wolff L, Shafer S, Healey G (eds.) Physics-based vision—principles and practice: radiometry. Jones & Bartlett, New York, pp 279–290

    Google Scholar 

  • Hornberg A (2006) Handbook of machine vision. Wiley-VCH, London

    Book  Google Scholar 

  • Ibrahim A, Jog M (2008) Nonlinear instability of an annular liquid sheet exposed to gas flow. Int J Multiphas Flow 34(7):647–664

    Article  Google Scholar 

  • Jeong Haeyoung, Kihyung Lee, Yuji Ikeda (2007) Investigation of the spray characteristics for a secondary fuel injection nozzle using a digital image processing method. Meas Sci Technol 18(5):1591–1602

    Article  Google Scholar 

  • Kawano S, Hashimoto H, Togari H, Ihara A (1997) Deformation and breakup of an annular liquid sheet in a gas stream. Atomization Sprays 7:359–374

    Google Scholar 

  • Lin S (2003) Breakup of liquid sheets and jets. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

  • Lin SP, Reitz RD (1998) Drop and spray formation from a liquid jet. Annu Rev Fluid Mech 30:85–105

    Article  MathSciNet  Google Scholar 

  • Lozano A, Barreras F, Hauke G, Dopazo C (2001) Longitudinal instabilities in an air-blasted liquid sheet. J Fluid Mech 437:143–173

    Article  MATH  Google Scholar 

  • Lozano A, Barreras F, Siegler C, Löw D (2005) The effects of sheet thickness on the oscillation of an air-blasted liquid sheet. Exp Fluids 39(1):127–139

    Article  Google Scholar 

  • Mansour A, Chigier N (1991) Dynamic behaviour of liquid sheets. Phys Fluids A 3(12):2971–2980

    Article  Google Scholar 

  • Rayleigh L (1879) On the capillary phenomena of jets. Proc R Soc Lond 29:71–97

    Article  Google Scholar 

  • Sander W, Weigand B (2007) Direct numerical simulation on the influence of the nozzle design for water sheets emerged at.... High Performance Computing in Science and Engineering, pp 277–291

  • Soria J (1996) An investigation of the near wake of a circular cylinder using a video-based digital cross-correlation particle image velocimetry technique. Exp Therm Fluid Sci 12(2):221–223

    Article  Google Scholar 

  • Squire HB (1953) Investigation of the instability of a moving liquid film. Br J Appl Phys 4(6):167–169

    Article  Google Scholar 

  • Sutton M, Orteu J, Schreier H (2009) Image correlation for shape, motion and deformation measurements. Springer, New York

    Google Scholar 

  • Wahono S, Damon H, Julio S, Jamil G (2008) High-speed visualisation of primary break-up of an annular liquid sheet. Exp Fluids 44(3):451–459

    Article  Google Scholar 

  • Walczak A, Puzio L (2008) Adaptive edge detection method for images. Opto Electron Rev 16(1):60–67

    Article  Google Scholar 

  • Weber C (1931) Zum Zerfall eines Flüssigkeitsstrahles. Math und Mech 11(2):136–139

    MATH  Google Scholar 

  • Willert CE, Gharib M (1991) Digital particle image velocimetry. Exp Fluids, 10(4):181–193

    Article  Google Scholar 

Download references

Acknowledgments

D. Duke was supported by an Australian Postgraduate Award whilst undertaking this research.

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Authors and Affiliations

  1. Laboratory for Turbulence Research in Aerospace & Combustion, Department of Mechanical & Aerospace Engineering, Monash University, Melbourne, VIC, Australia

    Daniel Duke, Damon Honnery & Julio Soria

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  1. Daniel Duke
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  2. Damon Honnery
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  3. Julio Soria
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Correspondence to Daniel Duke.

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Duke, D., Honnery, D. & Soria, J. A cross-correlation velocimetry technique for breakup of an annular liquid sheet. Exp Fluids 49, 435–445 (2010). https://doi.org/10.1007/s00348-009-0817-0

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  • DOI: https://doi.org/10.1007/s00348-009-0817-0

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