Abstract
The aim of this work is to investigate the planar LIF/Mie droplet sizing technique from an experimental and theoretical point of view. This technique is a good alternative compared to point measurements (e.g., phase Doppler anemometry) or integral approaches (e.g., laser diffraction). It allows measurement of the Sauter mean diameter over a wide field, providing the spray topology and droplet size in a limited amount of time. Nevertheless, its implementation remains challenging due to the fact that the usual assumptions underlying the technique are not fully valid in practice. To overcome these limitations, an innovative experimental set-up has been developed including the use of a telecentric lens and a TwinCam beam splitter device. The benefit of the key optical elements introduced in the set-up will be discussed and quantified in the paper. In particular, it is shown that the telecentric lens removes angular dependency of the Lorenz–Mie optical signals. This is demonstrated using an ethanol hollow cone spray (seeded with rhodamine 6G) generated from a simplex injector at atmospheric pressure and ambient room temperature. A calibration procedure, based on phase Doppler anemometry measurements, is used to convert the LIF/Mie into Sauter mean diameter maps. The optical depth of the spray has been measured, exhibiting values less than 0.4 (equal to 67% light transmission), which corresponds to a dilute cloud of droplets where multiple light scattering is not an issue. These effects have been quantified using Monte Carlo simulations. Finally, a study of the injection parameters has been undertaken, showing the robustness and efficiency of the planar LIF/Mie droplet sizing method to obtain two-dimensional maps of the Sauter mean diameter.
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Data availability
The data that support the findings of this study are available from the corresponding author, S. Garcia, upon reasonable request.
References
Albrecht HE, Borys M, Damaschke N, Tropea C (2003) Laser doppler and phase doppler measurement techniques. Springer-Verlag Berlin, Heidelberg
Bakic S (2009) Time integrated detection and applications of fs-laserpulses scattered by small particles, PhD Thesis. Technische Universitat Darmstadt
Berrocal E et al (2008) Application of structured illumination for multiple scattering suppression in planar laser imaging of dense sprays. Opt Express 16:17870–17881
Berrocal E, Kristensson E, Zigan L (2018) Light sheet fluorescence microscopic imaging for high-resolution visualisation of spray dynamics. Int J Spray Combust Dyn 10(1):86–98
Berrocal E et al (2019) Two-photon fluorescence laser sheet imaging for high contrast visualization of atomizing sprays. OSA Contin 2(3):983–993
Berrocal E (2006) Multiple scattering of light in optical diagnostics of dense sprays and other complex turbid media. Cranfield University, Cranfield
Berrocal E et al. (2023) Optical spray imaging diagnostics. Aaerospace Research Central.
Bohren C, Huffman D (eds) (1983) Absorption and scattering of light by small particles. Wiley, New York
Charalampous G and Hardalupas Y (2004) In:Optimisation of the droplet sizing accuracy of the combined scattering (MIE)/laser induced fluorescence (LIF) technique. In: 20th international symposium on apply of laser techniques to fluid mechanics. Lisbon, Portugal
Charalampous G, Hardalupas Y (2011) Method to reduce errors of droplet sizing based on the ratio of fluorescent and scattered light intensities. Appl Opt 50:3622–3637
Charalampous G, Hardalupas Y (2011) Numerical evaluation of droplet sizing based on the ratio of fluorescent and scattered light intensities (LIF/MIE technique). Appl Opt 50:1197–1209
Chaze W, Caballina O, Castanet G, Lemoine F (2016) The saturation of the fluorescence and its consequences for laser-induced fluorescence thermometry in liquid flows. Exp Fluids. https://doi.org/10.1007/s00348-016-2142-8
Coplen TB (1996) Atomic weights of the elements 1995. Pure Appl Chem 68(12):2339–2359
Coppeta J, Rogers C (1998) Dual emission laser induced fluorescence for direct planar scalar behavior measurements. Exp Fluids 25:1–15
Domann R, Hardalupas Y (2001) A study of parameters that influence the accuracy of the planar droplet sizing (PDS) technique. Part Part Syst Charact 18:3–11
Domann R, Hardalupas Y (2003) Quantitative measurement of planar droplet sauter mean diameter in sprays using planar droplet sizing. Part Part Syst Charact 20:209–218
Doublet P et al (2019) Saturated laser induced fluorescence in liquid kerosene seeded with a dye: influence of temperature and excitation intensity. Appl Phys. https://doi.org/10.1007/s00340-019-7299-4
Felton PG, Bracco FV, Bardsley MEA (1993) On the quantitative application of exciplex fluorescence to engine sprays. J Eng 103:1254–1262
Findeisen J et al. (2005) 2D concentration measurements based on Mie scattering using a commercial PIV system. In: 6th international symposium on particle image velocimetry, Pasadena
Frantz D, Jönsson J, Berrocal E (2022) Multi-scattering software: part II: experimental validation for the light intensity distribution. Opt Express 30(2):1261–1279
Grosshans H, Kristensson E, Szasz R-Z, Berrocal E (2015) Prediction and measurement of the local extinction coefficient in sprays for 3D simulation/experiment data comparison. Int J Multiph Flow 72:218–232
Hervo L, Senoner J, Biancherin A, Cuenot B (2018) Large-Eddy simulation of kerosene spray ignition in a simplified aeronautic combustor. Flow Turbul Combust 101:603–625
Hofeldt DL (1993) Full-field measurements of particle size distributions II: experimental comparison of the polarization ratio and scattered intensity methods. Appl Opt 32(36):7559–7567
Hofeldt DL (1993) Full-field measurements of particle size distribution: I. Theorical limitations of the polarization ratio method. Appl Opt 32(36):7551–7558
Jermy MC, Allen A (2002) Simulating the effects of multiple scattering on images of dense sprays and particle fields. Appl Opt 41(20):4188–4196
Jermy MC, Greenhalgh DA (2000) Planar drop sizing by elastic and fluorescence scattering in sprays too dense for phase Doppler measurement. J Appl Phys 86:71703–71710
Jönsson J, Berrocal E (2020) Multi-scattering software: part I: online accelerated Monte Carlo simulation of light transport through scattering media (https://multi-scattering.com). Opt Express 28(25): 37612–37638
Koegl M et al (2018) Analysis of ethanol and butanol direct-injection spark-ignition sprays using two-phase structured laser illumination planar imaging droplet sizing. Int J Spray Combust Dyn 11:1–16
Koegl M, WeiB C, Zigan L (2020) Fluorescence spectroscopy for studying evaporating droplets using the dye eosin-Y. Sensors 20(21):59–85
Koegl M et al (2022) Polarization-dependent LIF/Mie ratio for sizing of micrometric ethanol droplets doped with Nile red. Appl Opt 61(14):4204–4214
Koegl M et al. (2018) 3D LIF/Mie planar droplet sizing in IC engine sprays using single-droplet calibration data. 14th ICLASS, Chicago
Kristensson E, Berrocal E, Richter M, Aldén M (2010a) Nanosecond structured laser illumination planar imaging for single-shot imaging of dense sprays. Atom Sprays 20:337–343
Kristensson E et al (2010b) Structured illumination for 3-D Mie imaging and 2-D attenuation measurements in optically dense sprays. Proc Combust Inst 33:855–861
Kristensson E, Berrocal E, Alden M (2011) Extinction coefficient imaging of turbid media using dual structured laser illumination planar imaging. Opt Lett 36(9):1656–1658
Kubin R, Fletcher A (1982) Fluorescence quantum yields of some rhodamine dyes. J Lumin 27:455–462
Laven P (2008) Simulation of rainbows, coronas, and glories by use of Mie theory. Appl Opt 42(3):436–444
Le Gal P, Farrugia N, Greenhalgh D-A (1999) Laser sheet dropsizing of dense sprays. Opt Laser Technol 31(1):75–83
Lefebvre AH, McDonell VG (2017) Atomization and sprays. CRC Press Taylor & Francis Group, Boca Raton
Lorenz L (1890) Lysbevaegeisen i og uden for en hal plane lysb olger belyst kluge. Vidensk, Selk Skr 6:1–62
Méès L, Gouesbet G (2001) Time-resolved scattering diagrams for a sphere illuminated by plane wave and focused short pulses. Opt Commun 194:59–65
Mie G (1908) Beitrage zur optik trubermedien, speziell kolloidaler etallosungen. Annalen Physik 25:377–452
Mishra Y, Kristensson E, Berrocal E (2014) Reliable LIF/MIE droplet sizing in sprays using structured laser illumination planar imaging. Opt Express 22:4480–4492
Mishra YN et al (2017) 3D mapping of droplet sauter mean diameter in sprays. Appl Opt. https://doi.org/10.1364/AO.58.003775
Mishra Y et al (2017) Comparison between two-phase and one-phase SLIPI for instantaneous imaging of transient sprays. Exp Fluids. https://doi.org/10.1007/s00348-017-2396-9
Mugele R, Evans HD (1951) Droplet size distribution in sprays. Ind Eng Chem 43:1317–1324
Rayleigh L (1878) On the instability of jets. Proc Lond Math Soc 10:4–12
Sanjosé M et al (2011) Fuel injection model for Euler-Euler and Euler-Lagrange large-eddy simulations of an evaporating spray inside an aeronautical combustor. Int J Multiph Flow 37(5):514–529
Sankar SV, Mahleret KE, Robart DM (1999) Rapid characterization of fuel atomizers using an optical patternator. J Eng Gas Turbines Pow 121:409–414
Stiti M et al (2023) Droplet sizing in atomizing sprays using polarization ratio with structured laser illumination planar imaging. Opt Lett 48(15):4065–4068
Stiti M, Lehnert B, Wensing M, Berrocal E (2022) Multiple scattering suppression for correct light transmission measurements through the ECN Spray G running with ethanol. In: 31th conference on liquid atomization and spray systems (Virtual) Tel-Aviv, IS, ILASS
Stojkovic B-D, Sick V (2001) Evolution and impingement of an automotive fuel spray investifated with simultaneous LIF/Mie techniques. J Appl Phys 73:75–83
Taniguchi M, Du H, Lindsey JS (2017) PhotochemCAD 3: diverse modules for photophysical calculations with multiple spectral databases. Photochem Photobiol 94(2):277–289
Van de Hulst H (ed) (1981) Light scattering by small particles. Dover, Illinois
Wellander R et al (2011) Three-dimensional measurement of the local extinction coefficient in a dense spray. Meas Sci Technol. https://doi.org/10.1088/0957-0233/22/12/125303
Yeh C, Kosaka H, Kamimoto T (1993) A fluorescence / scattering imaging technique for instantaneous 2D measurement of particle size distribution in a transient spray. Opt Part Sizing 93:4008–4013
Ying L et al (2007) Fluorescence spectrum characteristic of ethanol–water excimer and mechanism of resonance energy transfer. Chin Phys 16(5):1300–1307
Acknowledgements
The authors gratefully acknowledge ONERA and “Région Occitanie” for PhD funding support. The authors would also like to thank ONERA’s manufacturing workshop for their practical assistance, without which the experiments in this paper could not have been carried out.
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This work was supported by ONERA and “Région Occitanie.”
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SG wrote the manuscript text, generated figures, and was the primary contributor to the measurement system development. PD, CL, and MO oversaw the study conception and design. MS and GI contributed to the development of the measurement system. EB contributed to the Monte Carlo simulation. All authors contributed to the field experiments and reviewed the manuscript.
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Garcia, S., Doublet, P., Lempereur, C. et al. Optimization of planar LIF/Mie imaging for droplet sizing characterization of dilute sprays. Exp Fluids 64, 165 (2023). https://doi.org/10.1007/s00348-023-03706-8
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DOI: https://doi.org/10.1007/s00348-023-03706-8