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Towards an improved spatial representation of a boundary layer from the attached eddy model

Felix Eich1,*, Charitha M. de Silva2,†, Ivan Marusic3, and Christian J. Kähler1

  • 1Institute of Fluid Mechanics and Aerodynamics, Bundeswehr University Munich, 85577 Neubiberg, Germany
  • 2School of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney 2052, Australia
  • 3Department of Mechanical Engineering, University of Melbourne, Victoria 3010, Australia

  • *felix.eich@unibw.de
  • †c.desilva@unsw.edu.au
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Phys. Rev. Fluids 5, 034601 – Published 10 March, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.034601

Abstract

This study compares the predicted synthetic flow fields generated based on the representative structures of the attached eddy model to experimental data captured using Particle Image Velocimetry of a turbulent boundary layer. To this end, wall-parallel and cross-stream planar fields are analyzed qualitatively and quantitatively by examining instantaneous flow features and by statistical two-point correlation functions, respectively. Our results reveal that although single-point flow statistics are in good agreement with the experimental data, a comparison of instantaneous flow fields and multipoint statistics between the attached eddy model and experiments shows differences in the spatial coherence. Based on these observations, a modification to the placement of the representative eddies in the attached eddy model is proposed that incorporates the meandering of these flow structures, which has been extensively reported in turbulent boundary layers. Our results reveal that this subtle modification provides a superior spatial representation of a turbulent boundary layer from the attached eddy model by reducing periodic effects and the overestimated spatial coherence. Similar improvements are also reported for the spatial representation of the spanwise velocity component.

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References (37)

  1. J. Jiménez, Coherent structures in wall-bounded turbulence, J. Fluid Mech. 842, 1 (2018).
  2. J. M. Wallace, Highlights from 50 years of turbulent boundary layer research, J. Turbul. 13, N53 (2012).
  3. B. J. Balakumar and R. J. Adrian, Large-and very-large-scale motions in channel and boundary-layer flows, Philos. Trans. R. Soc., A 365, 665 (2007).
  4. N. Hutchins, K. Chauhan, I. Marusic, J. P. Monty, and J. Klewicki, Towards reconciling the large-scale structure of turbulent boundary layers in the atmosphere and laboratory, Bound.-Lay. Meteorol. 145, 273 (2012).
  5. S. K. Robinson, Coherent motions in the turbulent boundary layer, Annu. Rev. Fluid Mech. 23, 601 (1991).
  6. T. Theodorsen, Mechanism of turbulence, in Proceedings of the Midwestern Conference on Fluid Mechanics (University of Minnesota, 1952), pp. 1–18.
  7. C. Smith, A synthesized model of the near-wall behavior in turbulent boundary layers., Tech. Rep. (Lehigh University Bethlehem Pa, Department of Mechanical Engineering and Mechanics, 1984).
  8. A. A. Townsend, The Structure of Turbulent Shear Flow (Cambridge University Press, Cambridge, UK, 1956).
  9. R. J. Adrian, C. D. Meinhart, and C. D. Tomkins, Vortex organization in the outer region of the turbulent boundary layer, J. Fluid Mech. 422, 1 (2000).
  10. A. E. Perry, S. Henbest, and M. Chong, A theoretical and experimental study of wall turbulence, J. Fluid Mech. 165, 163 (1986).
  11. I. Marusic and A. E. Perry, A wall-wake model for the turbulence structure of boundary layers. Part 2. Further experimental support, J. Fluid Mech. 298, 389 (1995).
  12. I. Marusic, On the role of large-scale structures in wall turbulence, Phys. Fluids 13, 735 (2001).
  13. T. B. Nickels, I. Marusic, S. Hafez, N. Hutchins, and M. S. Chong, Some predictions of the attached eddy model for a high Reynolds number boundary layer, Philos. Trans. R. Soc., A 365, 807 (2007).
  14. I. Marusic and J. P. Monty, Attached eddy model of wall turbulence, Annu. Rev. Fluid Mech. 51, 49 (2019).
  15. S. J. Kline, W. C. Reynolds, F. Schraub, and P. Runstadler, The structure of turbulent boundary layers, J. Fluid Mech. 30, 741 (1967).
  16. M. Head and P. Bandyopadhyay, New aspects of turbulent boundary-layer structure, J. Fluid Mech. 107, 297 (1981).
  17. F. Waleffe, Three-Dimensional Coherent States in Plane Shear Flows, Phys. Rev. Lett. 81, 4140 (1998).
  18. C. Kähler, R. Adrian, and C. Willert, Turbulent boundary layer investigations with conventional and stereoscopic PIV, in Proceedings of the 9th International Symposium on Application of Laser Technology to Fluid Mechanics, Lisbon Portugal, Vol. 11 (1998), pp. 13–16.
  19. M. Pamiès, P. Weiss, E. Garnier, S. Deck, and P. Sagaut, Generation of synthetic turbulent inflow data for large eddy simulation of spatially evolving wall-bounded flows, Phys. Fluids 21, 045103 (2009).
  20. Q. Zhang, W. Schröder, and M. Meinke, A zonal rans-les method to determine the flow over a high-lift configuration, Comput. Fluids 39, 1241 (2010).
  21. C. M. de Silva, J. D. Woodcock, N. Hutchins, and I. Marusic, Influence of spatial exclusion on the statistical behavior of attached eddies, Phys. Rev. Fluids 1, 022401 (2016).
  22. C. de Silva, K. Kevin, R. Baidya, N. Hutchins, and I. Marusic, Large coherence of spanwise velocity in turbulent boundary layers, J. Fluid Mech. 847, 161 (2018).
  23. J. Woodcock and I. Marusic, The statistical behavior of attached eddies, Phys. Fluids 27, 015104 (2015).
  24. K. Kevin, J. P. Monty, and N. Hutchins, The meandering behavior of large-scale structures in turbulent boundary layers, J. Fluid Mech. 865, R1 (2019).
  25. A. Sharma, R. Moarref, and B. McKeon, Scaling and interaction of self-similar modes in models of high Reynolds number wall turbulence, Philos. Trans. R. Soc., A 375, 20160089 (2017).
  26. N. Reuther and C. Kähler, Evaluation of large-scale turbulent/nonturbulent interface detection methods for wall-bounded flows, Exp. Fluids 59, 121 (2018).
  27. K. A. Chauhan, P. A. Monkewitz, and H. M. Nagib, Criteria for assessing experiments in zero pressure gradient boundary layers, Fluid Dyn. Res. 41, 021404 (2007).
  28. M. Novara, D. Schanz, R. Geisler, S. Gesemann, C. Voss, and A. Schröder, Multi-exposed recordings for 3D Lagrangian particle tracking with multi-pulse shake-the-box, Exp. Fluids 60, 44 (2019).
  29. T. Knopp, M. Novara, D. Schanz, E. Schülein, A. Schröder, N. Reuther, and C. J. Kähler, A new experiment of a turbulent boundary layer flow at adverse pressure gradient for validation and improvement of RANS turbulence models, in New Results in Numerical and Experimental Fluid Mechanics XI (Springer, Berlin, 2018), pp. 85–94.
  30. T. Knopp, M. Novara, D. Schanz, R. Geisler, F. Philipp, M. Schroll, C. Willert, and A. Schröder, Modification of the SSG/LRR-ω RSM for turbulent boundary layers at adverse pressure gradient with separation using the new DLR VicToria experiment, in Symposium der Deutsche Gesellschaft für Luft-und Raumfahrt (Springer, Berlin, 2018), pp. 80–89.
  31. C. Kähler, B. Sammler, and J. Kompenhans, Generation and control of tracer particles for optical flow investigations in air, in Particle Image Velocimetry: Recent Improvements (Springer, Berlin, 2004), pp. 417–426.
  32. C. Kähler, S. Scharnowski, and C. Cierpka, Highly resolved experimental results of the separated flow in a channel with streamwise periodic constrictions, J. Fluid Mech. 796, 257 (2016).
  33. M. Raffel, C. E. Willert, F. Scarano, C. J. Kähler, S. T. Wereley, and J. Kompenhans, Particle Image Velocimetry: A Practical Guide (Springer, Berlin, 2018).
  34. N. Hutchins and I. Marusic, Evidence of very long meandering features in the logarithmic region of turbulent boundary layers, J. Fluid Mech. 579, 1 (2007).
  35. J. Hwang and H. J. Sung, Wall-attached structures of velocity fluctuations in a turbulent boundary layer, J. Fluid Mech. 856, 958 (2018).
  36. J. Sillero, High Reynolds number turbulent boundary layers, Ph.D. thesis, Universidad Politénica de Madrid, 2014.
  37. N. Hutchins, W. T. Hambleton, and I. Marusic, Inclined cross-stream stereo particle image velocimetry measurements in turbulent boundary layers, J. Fluid Mech. 541, 21 (2005).

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Phys. Rev. Fluids 5, 034601– Published 10 March, 2020
  • Received 16 September 2019
  • Accepted 12 February 2020
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