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Analysis and reconstruction of a pulsed jet in crossflow by multi-plane snapshot POD

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Abstract

In this work, snapshot proper orthogonal decomposition (POD) is used to study a pulsed jet in crossflow where the velocity fields are extracted from stereoscopic particle image velocimetry (SPIV) results. The studied pulsed jet is characterized by a frequency f = 1 Hz, a Reynolds number Re j  = 500 (based on the mean jet velocity \({\overline{U}_{j}}\) = 1.67 cm/s and a mean velocity ratio of R = 1). Pulsed jet and continuous jet are compared via mean velocity field trajectory and Q criterion. POD results of instantaneous, phase-averaged and fluctuating velocity fields are presented and compared in this paper. Snapshot POD applied on one plane allows us to distinguish an organization of the first spatial eigenmodes. A distinction between “natural modes” and “pulsed modes” is achieved with the results obtained by the pulsed and unforced jet. Secondly, the correlation tensor is established with four parallel planes (multi-plane snapshot POD) for the evaluation of volume spatial modes. These resulting modes are interpolated and the volume velocity field is reconstructed with a minimal number of modes for all the times of the pulsation period. These reconstructions are compared to orthogonal measurements to the transverse jet in order to validate the obtained three-dimensional velocity fields. Finally, this POD approach for the 3D flow field reconstruction from experimental data issued from planes parallel to the flow seems capable to extract relevant information from a complex three-dimensional flow and can be an alternative to tomo-PIV for large volume of measurement.

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References

  • Braud C, Heitz D, Braud P, Arroyo G, Delville J (2004) Analysis of the wake-mixing-layer interaction using multiple plane PIV and 3D classical POD. Exp Fluids 37:95–104

    Article  Google Scholar 

  • Chang Y, Vakili A (1995) Dynamics of vortex rings in crossflow. Phys Fluids 7(7):1583–1597

    Article  Google Scholar 

  • David L, Fraticelli R, Wieneke B, Thomas L (2007) Investigation of three-dimensional vortex structures in crossflow by time-resolved tomographic PIV. In 7th international symposium on particle image velocimetry, 11–14 September, Rome

  • Druault P, Chaillou C (2007) Use of proper orthogonal decomposition for reconstructing the 3D in-cylinder mean-flow field from PIV data. CR Mecanique 335:42–47

    MATH  Google Scholar 

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

    Article  Google Scholar 

  • Eroglu A, Breidenthal R (2001) Structure, penetration and mixing of pulsed jets in crossflow. AIAA Journal 39(3):417–423

    Article  Google Scholar 

  • Fraticelli R (2008) Jet dans un écoulement transverse à faible nombre de Reynolds—effet de la masse volumique sur la dynamique et le mélange. PhD thesis, Université de Poitiers, France

  • Fric T, Roshko A (1994) Vortical structure in the wake of a transverse jet. J Fluid Mech 279:1–47

    Article  Google Scholar 

  • Gordon M, Cater J, Soria J (2004) Investigation of the mean passive scalar field in zero-net-mass flux jets in cross-flow using planar-laser-induced fluorescence. Phys Fluids 16(3):794–808

    Article  Google Scholar 

  • Gristein F, DeVore C (1996) Dynamics of coherent structures and transition to turbulence in free square jets. Phys Fluids 8(5):1237–1251

    Article  MathSciNet  Google Scholar 

  • Herrmann F, Hinsch K (2004) Light-in-flight holographic particle image velocimetry for wind-tunnel applications. Meas Sci Technol 15:613–621

    Article  Google Scholar 

  • Hori T, Sakakibara J (2004) High-speed scanning stereoscopic PIV for 3D vorticity measurement in liquids. Meas Sci Technol 15:1067–1078

    Article  Google Scholar 

  • Johari H (2006) Scaling of fully pulsed jets in crossflow. AIAA Journal 44:2719–2725

    Article  Google Scholar 

  • Johari H, Pacheco-Tougas M, Hermanson J (1999) Penetration and mixing of fully modulated turbulent jets in crossflow. AIAA Journal 37:842–850

    Article  Google Scholar 

  • Kähler C (2004) Investigation of the spatio-temporal flow structure in the buffer region of a turbulent boundary layer by means of multiplane stereo PIV. Exp Fluids 36:114–130

    Article  Google Scholar 

  • Kelso R, Lim T, Perry A (1996) An experimental study of round jets in cross-flow. J Fluid Mech 306:111–144

    Article  Google Scholar 

  • Liberzon A, Gurka R, Lampert S, Hetsroni G (2005) Multi-dimensional characterization of coherent structures using three-plane stereoscopic PIV. In 6th international symposium on particle image velocimetry, Passadena, California

  • Lumley J (1967) The structure of inhomogeneous turbulent flows. In: Yaglom AM, Tatarsky VI (eds) Proc Atm Turb And Radio Wave Prop. Nauka, Moscow, pp 166–178

    Google Scholar 

  • M’Closkey R, King J, Cortelezzi L, Karagozian A (2002) The actively controlled jet in crossflow. J Fluid Mech 452:325–335

    MATH  Google Scholar 

  • Megerian S, Davitian J, Alves B, Karagozian A (2007) Transverse-jet shear-layer instabilities. Part 1. Experimental studies. J Fluid Mech 593:93–129

    Article  MATH  Google Scholar 

  • Meyer K, Pedersen J, Özcan O (2007) A turbulent jet in crossflow analysed with proper orthogonal decomposition. J Fluid Mech 583:199–227

    Article  MATH  MathSciNet  Google Scholar 

  • Narayanan S, Barooah P, Cohen J (2003) Dynamics and control of an isolated jet in crossflow. AIAA Journal 41(12):2316–2330

    Article  Google Scholar 

  • Podvin B, Fraigneau Y, Lusseyran F, Gougat P (2006) A reconstruction method for the flow past an open cavity. J Fluids Eng 128:531–540

    Article  Google Scholar 

  • Shapiro S, King J, M’Closkey R, Karagozian A (2006) Optimization of controlled jets in crossflow. AIAA Journal 44(6):1292–1298

    Article  Google Scholar 

  • Sirovich L (1987) Turbulence and the dynamics of coherent structures Part I: coherent structures. Quarterly of Applied Mathematics XLV 3:561–571

    MathSciNet  Google Scholar 

  • Smith S, Mungal M (1998) Mixing, structure and scaling of the jet in crossflow. J Fluid Mech 357:83–122

    Article  Google Scholar 

  • Su L, Mungal M (2004) Simultaneous measurements of scalar and velocity field evolution in turbulent crossflowing jets. J Fluid Mech 513:1–45

    Article  MATH  Google Scholar 

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Acknowledgments

This work is funded partially by the 13th CPER and the ANR VIVE3D. Their supports are greatly acknowledged.

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Correspondence to Romain Vernet.

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Vernet, R., Thomas, L. & David, L. Analysis and reconstruction of a pulsed jet in crossflow by multi-plane snapshot POD. Exp Fluids 47, 707–720 (2009). https://doi.org/10.1007/s00348-009-0730-6

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  • DOI: https://doi.org/10.1007/s00348-009-0730-6

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