Time-resolved large-scale volumetric pressure fields of an impinging jet from dense Lagrangian particle tracking


Time-resolved volumetric pressure fields are reconstructed from Lagrangian particle tracking with high seeding concentration using the Shake-The-Box algorithm in a perpendicular impinging jet flow with exit velocity \(U=4\) m/s (\(Re\sim 36,000\)) and nozzle-plate spacing \(H/D=5\). Helium-filled soap bubbles are used as tracer particles which are illuminated with pulsed LED arrays. A large measurement volume has been covered (cloud of tracked particles in a volume of 54 L, \(\sim 180,000\) particles). The reconstructed pressure field has been validated against microphone recordings at the wall with high correlation coefficients up to 0.88. In a reduced measurement volume (13 L), dense Lagrangian particle tracking is shown to be feasable up to the maximal possible jet velocity of \(U=16\) m/s.

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  1. Bosbach J, Kühn M, Wagner C (2009) Large scale particle image velocimetry with helium filled soap bubbles. Exp Fluids 46:539–547

  2. Bellani G, Byron ML, Collignon AG (2012) Shape effects on turbulent modulation by large nearly neutrally buoyant particles. J Fluid Mech 712:41–60

  3. Caridi GCA, Ragni D, Sciacchitano A, Scarano F (2016) HFSB-seeding for large-scale tomographic PIV in wind tunnels. Exp Fluids 57:190

  4. Carlomagno GM, Ianiro A (2014) Thermo-fluid-dynamics of submerged jets impinging at short nozzle-to-plate distance: a review. Exp Therm Fl Sci 58:15–35

  5. Dairay T, Roux S, Fortuné S, Brizzi L (2016) On the capability of piv-based wall pressure estimation for an impinging jet flow. Flow Turbul Combust 96:667

  6. de Kat R, van Oudheusden BW (2012) Instantaneous planar pressure determination from PIV in turbulent flow. Exp Fluids 52:1089–1106

  7. Gesemann S, Huhn F, Schanz D, Schröder A (2016) From noisy particle tracks to velocity, acceleration and pressure fields using B-splines and penalties, 18th Int. Symp. on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal

  8. Ghaemi S, Ragni D, Scarano F (2012) PIV-Based pressure fluctuations in the turbulent boundary layer. Exp Fluids 53:1832–1840

  9. Goody M (2004) Empirical Spectral Model of Surface Pressure Fluctuations. AIAA J 42:1788–1794

  10. Guerra DRS, Su J, Silva Freire AP (2005) The near wall behavior of an impinging jet. Int J Heat Mass Trans 48:2829–2840

  11. Hall JW, Ewing D (2006) On the dynamics of the large-scale structures in round impinging jets. Exp Therm Fluid Sci 13:364–373

  12. Huhn F, Schanz D, Gesemann S, Schröder A (2016) FFT integration of instantaneous 3D pressure gradient fields measured by Lagrangian particle tracking in turbulent flows. Exp Fluids 57:151

  13. Huhn F, Schanz D, Gesemann S, Dierksheide U, van de Meerendonk R, Schröder A (2017) Large-scale volumetric flow measurement in a pure thermal plume by dense tracking of helium-filled soap bubbles. Exp Fluids 58:116

  14. Jeon YJ, Earl T, Braud P, Chatellier L, David L (2015) 3D pressure field around an inclined airfoil by tomographic TR-PIV and its comparison with direct pressure measurements, 18th Int. Symp. on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal

  15. Kähler CJ, Astarita T, Vlachos PP, Sakakibara J, Hain R, Discetti S, La Foy R, Cierpka C (2016) Main results of the 4th International PIV Challenge. Exp Fluids 57:97

  16. Kim J (1989) On the Structure of Pressure Fluctuations in Simulated Turbulent Channel Flow. NASA Tech. Mem

  17. Krishna S (2012) Characterization of the flow field in circular subsonic impinging jets. Master Thesis. Faculty of Aerospace Engineering, TU Delft

  18. Kühn M, Ehrenfried K, Bosbach J, Wagner C (2011) Large-scale tomographic particle image velocimetry using helium-filled soap bubbles. Exp Fluids 50:929–948

  19. Landreth CC, Adrian RJ (1990) Impingement of a low Reynolds number turbulent circular jet onto a flat plate at normal incidence. Exp Fluids 9:74–84

  20. Neeteson NJ, Bhattacharya S, Rival DE, Michaelis D, Schanz D, Schröder A (2016) Pressure-field extraction from Lagrangian flow measurements: first experiences with 4D-PTV data. Exp Fluids 57:102

  21. Novara M, Scarano F (2013) A particle-tracking approach for accurate material derivative measurements with tomographic PIV. Exp Fluids 54:1584

  22. Novara M, Schanz D, Reuther N, Kähler CJ, Schröder A (2016) Lagrangian 3D particle tracking in high-speed flows: shake-the-box for multi-pulse systems. Exp Fluids 57:128

  23. van Oudheusden BW (2013) PIV-based pressure measurement. Meas Sci Technol 24:032001

  24. Peper F, Leiner W, Fiebig M (1997) Impinging radial and inline jets: a comparison with regard to heat transfer, wall pressure distribution, and pressure loss. Exp Therm Fluid Sci 14:194–204

  25. Pröbsting S, Scarano F, Bernardini M, Pirozolli S (2013) On the estimation of wall pressure coherence using time-resolved tomographic PIV. Exp Fluids 54:1567

  26. Rival D, van Oudheusden BW (2017) Load-estimation techniques for unsteady incompressible flows. Exp Fluids 58:20

  27. Scarano F, Ghaemi S, Caridi GCA, Bosbach J, Dierksheide U, Sciacchitano A (2015) On the use of helium-filled soap bubbles for large-scale tomographic PIV in wind tunnel experiments. Exp Fluids 56:42

  28. Schanz D, Schröder A, Gesemann S, Michaelis D, Wieneke B (2013a) Shake-the-Box: a highly efficient and accurate Tomographic Particle Tracking Velocimetry (TOMO-PTV) method using prediction of particle position, 10th Int. Symposium on Particle Image Velocimetry—PIV13 (Delft, The Netherlands, July 1-3)

  29. Schanz D, Gesemann S, Schröder A, Wieneke B, Novara M (2013b) Non-uniform optical transfer functions in particle imaging: calibration and application to tomographic reconstruction. Meas Sci Technol 24:024009

  30. Schanz D, Schröder A, Gesemann S (2016) Shake-The-Box: Lagrangian particle tracking at high particle image densities. Exp Fluids 57:70

  31. Schanz D, Huhn F, Gesemann S, Dierksheide U, van de Meerendonk R, Manovski P, Schröder A (2016) Towards high-resolution 3D flow field measurements at cubic meter scales, 18th Int. Symp. on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal

  32. Schneiders JFG, Caridi GCA, Sciacchitano A, Scarano F (2016a) Large-scale volumetric pressure from tomographic PTV with HFSB tracers. Exp Fluids 57:164

  33. Schneiders JFG, Pröbsting S, Dwight RP, van Oudheusden BW, Scarano F (2016b) Pressure estimation from single-snapshot tomographic PIV in a turbulent boundary layer. Exp Fluids 57:53

  34. Schröder A, Geisler R, Staack K, Elsinga GE, Scarano F, Wieneke B, Henning A, Poelma C, Westerweel J (2011) Eulerian and Lagrangian views of a turbulent boundary layer flow using time-resolved tomographic PIV. Exp Fluids 50:1071–1091

  35. Schröder A, Schanz D, Roloff C, Michaelis D (2014) Lagrangian and Eulerian dynamics of coherent structures in turbulent flow over periodic hills using time-resolved tomo PIV and 4D-PTV “Shake-the-box” 17th Int. Symp. on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal

  36. Schröder A, Schanz D, Geisler R, Gesemann S (2016) Investigations of coherent structures in near-wall turbulence and large wall-shear stress events using Shake-The-Box, 18th Int. Symp. on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal

  37. Tawfek AA (1996) Heat transfer and pressure distributions of an impinging jet on a flat surface. Heat Mass Transf 32:49–54

  38. Tronchin T, David L, Farcy A (2015) Loads and pressure evaluation of the flow around a flapping wing from instantaneous 3D velocity measurements. Exp Fluids 56:7

  39. Tu CV, Wood DH (1996) Wall pressure and shear stress measurements beneath an impinging jet. J Fluid Mech 55:439–458

  40. van Gent PL, Michaelis D, van Oudheusden BW, Weiss PE, de Kat R, Laskari A, Jeon YJ, David L, Schanz D, Huhn F, Gesemann S, Novara M, McPhaden C, Neeteson NJ, Rival DE, Schneiders JFG, Schrijer FFJ (2017) Comparative assessment of pressure field reconstructions from particle image velocimetry measurements and Lagrangian particle tracking. Exp Fluids 58:33

  41. Violato D, Ianiro A, Cardone G, Scarano F (2012) Three-dimensional vortex dynamics and convective heat transfer in circular and chevron impinging jets. Int J Heat Fluid Fl 37:22–36

  42. Wieneke B (2008) Volume self-calibration for 3D particle image velocimetry. Exp Fluids 45:549–556

  43. Wieneke B (2013) Iterative reconstruction of volumetric particle distribution. Meas Sci Technol 24:024008

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The authors would like to thank Janos Agocs, Stefan Haxter, Thomas Ahlefeldt, Dirk Michaelis, Uwe Dierksheide and Jiggar Shah for their help during the setup and execution of the experiment. We acknowledge the support of LaVision GmbH with camera equipment and the seeding generator. Work including the experimental results has partly been funded by the DFG-project Analyse turbulenter Grenzschichten mit Druckgradient bei großen Reynoldszahlen mit hochauflösenden Vielkameramessverfahren (Grant KA 1808/14-1 and SCHR 1165/3-1).

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Huhn, F., Schanz, D., Manovski, P. et al. Time-resolved large-scale volumetric pressure fields of an impinging jet from dense Lagrangian particle tracking. Exp Fluids 59, 81 (2018) doi:10.1007/s00348-018-2533-0

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