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Ultra-high-speed 3D astigmatic particle tracking velocimetry: application to particle-laden supersonic impinging jets

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Abstract

The paper demonstrates ultra-high-speed three-component, three-dimensional (3C3D) velocity measurements of micron-sized particles suspended in a supersonic impinging jet flow. Understanding the dynamics of individual particles in such flows is important for the design of particle impactors for drug delivery or cold gas dynamic spray processing. The underexpanded jet flow is produced via a converging nozzle, and micron-sized particles (d p = 110 μm) are introduced into the gas flow. The supersonic jet impinges onto a flat surface, and the particle impact velocity and particle impact angle are studied for a range of flow conditions and impingement distances. The imaging system consists of an ultra-high-speed digital camera (Shimadzu HPV-1) capable of recording rates of up to 1 Mfps. Astigmatism particle tracking velocimetry (APTV) is used to measure the 3D particle position (Cierpka et al., Meas Sci Technol 21(045401):13, 2010) by coding the particle depth location in the 2D images by adding a cylindrical lens to the high-speed imaging system. Based on the reconstructed 3D particle positions, the particle trajectories are obtained via a higher-order tracking scheme that takes advantage of the high temporal resolution to increase robustness and accuracy of the measurement. It is shown that the particle velocity and impingement angle are affected by the gas flow in a manner depending on the nozzle pressure ratio and stand-off distance where higher pressure ratios and stand-off distances lead to higher impact velocities and larger impact angles.

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References

  • Arroyo MP, Hinsch KD (2008) Recent developments of PIV towards 3D measurements. In: Schröder A, Willert C (eds) Particle image velocimetry: new developments and recent applications. Springer, Berlin

    Google Scholar 

  • Buchmann NA, Atkinson C, Honnery D, Soria J (2013a) High-speed 3d particle tracking using tomographic holographic reconstruction. In 10th International symposium on particle image velocimetry, Delft, Netherlands

  • Buchmann NA, Atkinson C, Soria J (2013b) Ultra-high-speed tomographic digital holographic velocimetry in supersonic particle-laden jet flows. Meas Sci Technol 24:024005

    Article  Google Scholar 

  • Buchmann NA, Cierpka C, Kähler CJ, Soria J (2013c) Single camera high-speed 3d particle tracking in supersonic jet flows. In 21. Fachtagung, Lasermethoden in der Strömungsmesstechnik, Munich, Germany

  • Buchmann NA, Willert CE, Soria J (2012) Pulsed, high-power led illumination for tomographic particle image velocimetry. Exp Fluids 53:1545–1560

    Article  Google Scholar 

  • Cierpka C, Kähler CJ (2012) Particle imaging techniques for volumetric three-component (3D3C) velocity measurements in microfluidics. J Vis 15:1–31

    Article  Google Scholar 

  • Cierpka C, Lütke B, Kähler CJ (2013) Higher order multi-frame particle tracking velocimetry. Exp Fluids 54:1533

    Article  Google Scholar 

  • Cierpka C, Rossi M, Segura R, Kähler CJ (2011) On the calibration of astigmatism particle tracking velocimetry for microflows. Meas Sci Technol 22(01540)

  • Cierpka C, Segura R, Hain R, Kähler CJ (2010) A simple single camera 3C3D velocity measurement technique without errors due to depth of correlation and spatial averaging for microfluidics. Meas Sci Technol 21(045401):13

  • Donaldson CD, Snedeker RS (1971) A study of free jet impingement. Part 1. Mean properties of free and impinging jets. Fluid Mech 45(2):281–319

    Article  Google Scholar 

  • Elsinga GE, Scarano F, Wieneke B, van Oudheusden BW (2006) Tomographic particle image velocimetry. Exp Fluids 41:933–947

    Article  Google Scholar 

  • Forney LJ (1991) Particle impaction in axially symmetric supersonic flow. Aerosol Sci Technol 15:49–59

    Article  Google Scholar 

  • Fuchs T, Hain R, Kähler CJ (2014) Three-dimensional location of micrometer-sized particles in macroscopic domains using astigmatic aberrations. Opt Lett 39(5):1298–1301

    Article  Google Scholar 

  • Hain R, Kähler CJ, Radespiel R (2009) Principles of a volumetric velocity measurement technique based on optical aberrations. Imag Meas Methods Flow Anal Notes Numer Fluid Mech Multidiscip Des 106:1–10

    Google Scholar 

  • Ingvorsen KM, Buchmann NA, Soria J (2012) Ultra-high-speed digital in-line holography system applied to particle-laden supersonic underexpanded jet flows. In 28th AIAA Aerodynamic Measurement Technology, Ground Testing, and Flight Testing Conference, New Orleans, Louisiana

  • Jodoin B, Raletz F, Vardelle M (2006) Cold spray modeling and validation using an optical diagnostic method. Surf Coat Technol 200:4424–4432

    Article  Google Scholar 

  • Lange S, Sieber M, Forster G, Marques-Lopez JL, Schein J, Kähler CJ (2011) Velocity diagnostics for gas velocity distributions in cold gas and plasma spraying using non-resonant laser scattering. J Therm Spray Technol 20:12–20

    Article  Google Scholar 

  • Malik NA, Dracos T, Papantoniou DA (1993) Particle tracking velocimetry in three-dimensional flows. Part II. Particle tracking. Exp Fluids 15:279–294

    Google Scholar 

  • Mass HG, Gruen A, Papantoniou D (1993) Particle tracking velocimetry in three-dimensional flows. Part I. Photogrammetric determination of particle coordinates. Exp Fluids 15:133–146

    Google Scholar 

  • Melling A (1997) Tracer particles and seeding for particle image velocimetry. Meas Sci Technol 8(12):1406–1416

    Article  Google Scholar 

  • Meng H, Pan G, Pu Y, Woodward SH (2004) Holographic particle image velocimetry: from film to digital recording. Meas Sci Technol 15:673–685

    Article  Google Scholar 

  • Mitchell DM, Honnery DR, Soria J (2012) The visualization of the acoustic feedback loop in impinging underexpanded supersonic jet flows using ultra-high frame rate schlieren. J Vis. doi:10.1007/s12650-012-0139-9

  • Olsen MG, Adrian RJ (2000) Out-of-focus effects on particle image visibility and correlation in microscopic particle image velocimetry. Exp Fluids 29:S166–74

    Article  Google Scholar 

  • Papyrin A, Kosarev V, Klinkov S, Fomin V (2007) Cold spray technology. Elsevier, Amsterdam

    Google Scholar 

  • Pardhasaradhi SP, Venkatachalapathy V, Joshi SV, Govindan S (2008) Optical diagnostics study of gas particle transport phenomena in cold gas dynamic spraying and comparison with model predictions. J Thermal Spray Technol 17(4):551–563

    Article  Google Scholar 

  • Pereira F, Gharib M, Dabiri D, Modarress D (2000) Defocusing digital particle image velocimetry: a 3-component 3-dimensional dpiv measurement technique. Application to bubbly flows. Exp Fluids 29:S78–S84

    Article  Google Scholar 

  • Powell A (1988) The soundproducing oscillations of round underexpanded jets impinging on normal plates. J Acoust Soc Am 83(2):515–533

    Article  Google Scholar 

  • Quinlan N, Kendall M, Bellhouse B, Ainsworth R (2001) Investigations of gas and particle dynamics in first generation needle-free drug delivery devices. Shock Waves 10:395–404

    Article  Google Scholar 

  • Soria J, Atkinson C (2008) Towards 3C–3D digital holographic fluid velocity vector field measurement—tomographic digital holographic piv (Tomo-HPIV). Meas Sci Technol 19(7):074002

    Article  Google Scholar 

  • Thoroddsen S, Etoh T, Takehara K (2008) High-speed imaging of drops and bubbles. Annu Rev Fluid Mech 40:257–285

    Article  MathSciNet  Google Scholar 

  • Thurow B, Jiang N, Lempert W (2013) Review of ultra-high repetition rate laser diagnostics for fluid dynamic measurements. Meas Sci Technol 24(012002):22

    Google Scholar 

  • Versluis M (2013) High-speed imaging in fluids. Exp Fluids 54(1458)

  • von Ellenrieder K, Soria J (2003) Experimental measurement of particle depth of field in digital holography. In International workshop on holographic metrology in fluid mechanics, Loughborough, UK

  • Willert C, Stasicki B, Klinner J, Moessner S (2010) Pulsed operation of high-power light emitting diodes for imaging flow velocimetry. Meas Sci Technol 21:075402

    Article  Google Scholar 

  • Willert CE, Gharib M (1992) Three-dimensional particle imaging with a single camera. Exp Fluids 12(6):353–358

    Article  Google Scholar 

  • Willert CE, Mitchell DM, Soria J (2012) An assessment of high-power light-emitting diodes for high frame rate schlieren imaging. Exp Fluids 53(2):413–421

    Article  Google Scholar 

Download references

Acknowledgments

The authors greatly acknowledge the financial support of the Australian Research Council through the Discovery Project DP1096474 and funding through the German research foundation (DFG) under the individual grants program KA 1808/8 and CI 185/3.

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Correspondence to N. A. Buchmann.

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Buchmann, N.A., Cierpka, C., Kähler, C.J. et al. Ultra-high-speed 3D astigmatic particle tracking velocimetry: application to particle-laden supersonic impinging jets. Exp Fluids 55, 1842 (2014). https://doi.org/10.1007/s00348-014-1842-1

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