Skip to main content
Log in

Density measurement of supersonic airflow using decay characteristics of FLEET emission

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

A method that involves the use of a femtosecond laser can be utilized for nonintrusive measurement of supersonic airflow without seeding any additional molecules. In the present study, the feasibility of using this method to measure the density in supersonic airflows is investigated. In the experiments, a laser filament is created in underexpanded jets by focusing a femtosecond laser through a lens. Emission from nitrogen molecules in the laser filament is called femtosecond laser electronic excitation tagging (FLEET) emission. The signal of FLEET emission is detected by a CCD camera with an image intensifier changing the time delay after a laser pulse to obtain the data of decay in FLEET emission. The time constant characterizing the FLEET emission lifetime is estimated from the emission decay data and the constant is converted to the density based on the model proposed in the previous study. The densities measured by the present method are compared with those computed based on the Navier–Stokes equations. The results reveal that the densities in supersonic airflows can be measured with the accuracy of ± 11% under the conditions that the densities and the density gradients along the laser filament are less than 0.18 kg/m3 and 540 kg/m4, respectively.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  • Burns RS, Danehy PM, Halls BR, Jiang N (2017) Femtosecond laser electronic excitation tagging velocimetry in a transonic, cryogenic wind tunnel. AIAA J 55:680–685

    Article  Google Scholar 

  • Burns RS, Peters CJ, Danehy PM (2018) Unseeded velocimetry in nitrogen for high-pressure, cryogenic wind tunnels: part I. Femtosecond-laser tagging. Meas Sci Tech 29:115302

    Article  Google Scholar 

  • Danehy PM, Byrne SO, Houwing AFP, Fox JS, Smith DR (2003) Flow-tagging velocimetry for hypersonic flows using fluorescence of nitric oxide. AIAA J 41:263–271

    Article  Google Scholar 

  • Danehy PM, Burns RA, Reese DT, Retter JE, Kearney SP (2022) FLEET velocimetry for aerodynamics. Annu Rev Fluid Mech 54:523–553

    Article  MATH  Google Scholar 

  • Dogariu LE, Dogariu A, Miles R, Smith MS, Marineau EC (2019) Femtosecond laser electronic excitation tagging velocimety in a large-scale hypersonic facility. AIAA J 57:4725–4736

    Article  Google Scholar 

  • Edwards MR, Dogariu A, Miles RB (2015) Simultaneous temperature and velocity measurements in air with femtosecond laser tagging. AIAA J 53:2280–2288

    Article  Google Scholar 

  • Fisher JM, Chynoweth BC, Smyser ME, Webb AM, Slipchenko MN, Jewell JS, Meyer TR, Beresh SJ (2021) Femtosecond laser electronic excitation tagging velocimetry in a Mach six quiet tunnel. AIAA J 59:753–757

    Article  Google Scholar 

  • Halls BR, Jiang N, Gord JR, Danehy PM, Roy S (2017) Mixture-fraction measurements with femtosecond-laser electronic-excitation. Appl Opt 56:E94–E98

    Article  Google Scholar 

  • Handa T (2020) Study on the collapse length of compressible rectangular microjets. Exp Fluids 61:196

    Article  Google Scholar 

  • Handa T, Mii K, Sakurai T, Imamura K, Mizuta S, Ando Y (2014) Study on supersonic rectangular microjets using molecular tagging velocimetry. Exp Fluids 55:1725

    Article  Google Scholar 

  • Handa T, Matsuda Y, Egami Y (2016) Phenomena peculiar to underexpanded flows in supersonic micronozzle. Microfluid Nanofluid 20:166

    Article  Google Scholar 

  • Handa T, Koike S, Imabayashi K (2017) Estimation of the particle drag coefficients for compressible and rarefied flows using PIV and MTV data. In: Procedings of 31st ISSW 2, pp 1149–1154.

  • Jiang N, Nishihara M, Lempert WR (2010) Quantitative NO2 molecular tagging velocimetry at 500 kHz frame rate. Appl Phys Lett 97:221103

    Article  Google Scholar 

  • Jiang N, Webster M, Lempert WR, Miller JD, Meyer TR, Ivey CB, Danehy PM (2011) MHz-rate nitric oxide planar laser-induced fluorescence imaging in a Mach 10 hypersonic wind tunnel. Appl Opt 50:A20–A28

    Article  Google Scholar 

  • Lempert WR, Boehem M, Jiang N, Gimelshein S, Levin D (2003) Comparison of molecular tagging velocimetry data and direct simulation Monte Carlo simulations in supersonic micro jet flows. Exp Fluids 34:403–411

    Article  Google Scholar 

  • Limbach CM, Miles RB (2017) Rayleigh scattering measurements of heating and gas perturbations accompanying femtosecond laser tagging. AIAA J 55:112–120

    Article  Google Scholar 

  • Michael JB, Edwards MR, Dogariu A, Miles RB (2011) Femtosecond laser electronic excitation tagging for quantitative velocity imaging in air. Appl Opt 50:5158–5162

    Article  Google Scholar 

  • Miles RB, Connor J, Markovitz E, Howard P, Roth G (1988) Instantaneous supersonic velocity profiles in an underexpanded sonic air jet by oxygen flow tagging. Phys Fluids A 1:389–393

    Article  Google Scholar 

  • Miles RB. Edwards MR, Michael JB, Calvert ND, Dogariu A (2013) Femtosecond laser electronic excitation tagging (FLEET) for imaging flow structure in unseeded hot or cold air or nitrogen. AIAA Pap 2013–0340

  • Mustafa MA, Shekhtman D, Parziable NJ (2019) Single-laser krypton tagging velocimetry investigation of air and N2 boundary-layer flows over a hollow cylinder in a shock tube. Phys Rev App 11:064013

    Article  Google Scholar 

  • Ossler F, Aldén M (1997) Measurements of picosecond laser induced fluorescence from gas phase 3-pentanone and acetone: Implications to combustion diagnostics. Appl Phys B 64:493–502

    Article  Google Scholar 

  • Pan P, Sanchez-Gonzalez R, McLlvoy MH, Bowersox RDW, North SW (2016) Simultaneous three-dimensional velocimetry and thermometry in gaseous flows using the stereoscopic vibrationally excited nitric oxide monitoring technique. Opt Lett 41:1376–1379

    Article  Google Scholar 

  • Raman G, Srinvivasan K (2009) The powered resonance tube: from Hartmann’s discovery to current active flow control applications. Prog Aerosp Sci 45:97–123

    Article  Google Scholar 

  • Reese DT, Thompson RJ, Burns RS, Danehy PM (2021) Application of femtosecond-laser tagging for unseeded velocimetry in a large-scale transonic wind tunnel. Exp Fluids 62:99

    Article  Google Scholar 

  • Roe PL (1981) Approximate Riemann solvers, parameter vectors, and difference schemes. J Comput Phys 43:357–372

    Article  MathSciNet  MATH  Google Scholar 

  • Sakurai T, Handa T, Koike S, Mii K, Nakano A (2015) Study on the particle traceability in transonic and supersonic flows using molecular tagging velocimetry. J Visual 18:511–520

    Article  Google Scholar 

  • Segall BA, Shekhtman D, Hameed A, Chen JH, Parziale NJ (2023) Profiles of streamwise velocity and fluctuations in a hypersonic turbulent boundary layer using acetone tagging velocimetry. Exp Fluids 64:122

    Article  Google Scholar 

  • Shekhtman D, Yu WM, Mustafa MA, Parziale NJ, Austin JM (2021) Freestream velocity-profile measurement in a large-scale, high-enthalpy reflected-shock tunnel. Exp Fluids 62:118

    Article  Google Scholar 

  • Stier B, Koochesfahani MM (1999) Molecular tagging velocimetry (MTV) measurements in gas phase flows. Exp Fluids 26:297–304

    Article  Google Scholar 

  • Tam CKW, Tanna HK (1982) Shock associated noise of supersonic jets from convergent-divergent nozzles. J Sound Vib 81:337–358

    Article  MATH  Google Scholar 

  • Watari M, Hirabayashi N, Koyama T, Nagai S, Tsuda S, Sekine H, Yamazaki T, Nakakira K (2006) Flow qualities of JAXA Hypersonic wind tunnel facilities. AIAA Pap 2006–8047

  • Xu H, Lötstedt E, Iwasaki A, Yamanouchi K (2015) Sub-10-fs population inversion in N2+ in lasing through multiple state coupling. Nature Com 6:8347

    Article  Google Scholar 

  • Yamaguchi H, Hayashida K, Ishiguro Y, Takamori K, Matsuda Y, Niimi T (2016) Micro-molecular tagging velocimetry of internal gaseous flow. Microfluid Nanofluid 20:32

    Article  Google Scholar 

  • Yamaguchi W, Yanase T, Ishihara J, Nakatani A, Handa T, Sugioka Y, Koike S (2022) Study on decay characteristics of FLEET emission in air for high-resolution measurements of supersonic flows. Trans Japan Soc Aero Space Sci 65:109–115

    Article  Google Scholar 

  • Yamamoto S, Daiguji H (1993) Higher-order-accurate upwind schemes for solving the compressible Euler and Navier-Stokes equations. Comput Fluids 22:259–270

    Article  MathSciNet  MATH  Google Scholar 

Download references

Funding

This work was partly supported by JSPS KAKENHI Grant Number JP22H01406.

Author information

Authors and Affiliations

Authors

Contributions

WY analyzed the experimental and computational results. YS constructed the optical system and edited the manuscript. SK guided the research and edited the manuscript. TH guided the research and wrote the main manuscript text. All of the authors conducted the experiments.

Corresponding author

Correspondence to Taro Handa.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Ethical approval

Not applicable.

Data availability

Data will be made available on request.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yamaguchi, W., Sugioka, Y., Koike, S. et al. Density measurement of supersonic airflow using decay characteristics of FLEET emission. Exp Fluids 64, 190 (2023). https://doi.org/10.1007/s00348-023-03738-0

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00348-023-03738-0

Navigation