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Relaminarized and recovered turbulence under nonuniform body forces

Sandeep Pandey1,2, Xu Chu3,*, Bernhard Weigand3, Eckart Laurien1, and Jörg Schumacher2

  • 1Institute of Nuclear Technology and Energy Systems, Universität Stuttgart, Pfaffenwaldring 31, D-70569 Stuttgart, Germany
  • 2Institute of Thermodynamics and Fluid Mechanics, Technische Universität Ilmenau, D-98684 Ilmenau, Germany
  • 3Institute of Aerospace Thermodynamics, Universität Stuttgart, Pfaffenwaldring 31, D-70569 Stuttgart, Germany

  • *xu.chu@itlr.uni-stuttgart.de
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Phys. Rev. Fluids 5, 104604 – Published 12 October, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.104604

Abstract

Turbulence in a wall-bounded flow of supercritical fluid can be significantly modulated by nonuniform body forces. This study presents direct numerical simulations performed with a nonuniform streamwise body force varying in the wall-normal direction in a fully developed channel flow. A quasilaminar state and reorganized turbulence were obtained by changing the amplitude of the nonuniform body force which distorts the parabolic mean velocity profile and thus alters the turbulence production due to mean shear. Weak production of the flattened mean velocity profile leads to a relaminarization. In the quasilaminar state, all components of the Reynolds stress tensor are fairly weak except the streamwise fluctuations distant from the wall, which indicates the collapse of the near-wall turbulence self-sustaining cycle. The remaining streamwise fluctuations away from the wall exhibit elongated streaks, which is shown by premultiplied spectra. In the recovered turbulence regime, the Reynolds shear stress has a negative range in the bulk connected with a positive range near the wall. This corresponds to the nonmonotonic shear stress resulting from an M-shaped velocity profile. In a subsequent quadrant analysis of the Reynolds shear stress, the sweep and ejection events are found to dominate near the wall only while inward Q1 and outward Q3 motions are significant in the bulk. Both kinds of high-speed events can be attributed to the velocity maxima of the M-shaped mean velocity profile and are found to penetrate towards the wall and the channel center. Interestingly, the flow topology shows the typical teardrop shape once turbulence recovered. Our study contributes to the understanding of flow relaminarization in mixed convection and assists in developing further flow control techniques.

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References (42)

  1. J. W. R. Peeters, R. Pecnik, M. Rohde, T. H. J. J. van der Hagen, and B. J. Boersma, Characteristics of turbulent heat transfer in an annulus at supercritical pressure, Phys. Rev. Fluids 2, 024602 (2017).
  2. S. Pandey, X. Chu, and E. Laurien, Investigation of in-tube cooling of carbon dioxide at supercritical pressure by means of direct numerical simulation, Int. J. Heat Mass Transfer 114, 944 (2017).
  3. A. Patel, B. J. Boersma, and R. Pecnik, Scalar statistics in variable property turbulent channel flows, Phys. Rev. Fluids 2, 084604 (2017).
  4. J. H. Bae, J. Y. Yoo, and H. Choi, Direct numerical simulation of turbulent supercritical flows with heat transfer, Phys. Fluids 17, 105104 (2005).
  5. X. Chu and E. Laurien, Flow stratification of supercritical CO2 in a heated horizontal pipe, J. Supercrit. Fluids 116, 172 (2016).
  6. J. D. Jackson, M. A. Cotton, and B. P. Axcell, Studies of mixed convection in vertical tubes, Int. J. Heat Fluid Flow 10, 2 (1989).
  7. S. Pandey, X. Chu, E. Laurien, and B. Weigand, Buoyancy induced turbulence modulation in pipe flow at supercritical pressure under cooling conditions, Phys. Fluids 30, 065105 (2018).
  8. A. Steiner, On the reverse transition of a turbulent flow under the action of buoyancy forces, J. Fluid Mech. 47, 503 (1971).
  9. H. Nemati, A. Patel, B. J. Boersma, and R. Pecnik, Mean statistics of a heated turbulent pipe flow at supercritical pressure, Int. J. Heat Mass Transfer 83, 741 (2015).
  10. X. Chu, E. Laurien, and D.M. McEligot, Direct numerical simulation of strongly heated air flow in a vertical pipe, Int. J. Heat Mass Transfer 101, 1163 (2016).
  11. T. Wetzel and C. Wagner, Buoyancy-induced effects on large-scale motions in differentially heated vertical channel flows studied in direct numerical simulations, Int. J. Heat Fluid Flow 75, 14 (2019).
  12. E. Rinaldi, A. Patel, P. Schlatter, and R. Pecnik, Linear stability of buffer layer streaks in turbulent channels with variable density and viscosity, Phys. Rev. Fluids 2, 113903 (2017).
  13. A. Patel, J. W. R. Peeters, B. J. Boersma, and R. Pecnik, Semi-local scaling and turbulence modulation in variable property turbulent channel flows, Phys. Fluids 27, 095101 (2015).
  14. S. He, K. He, and M. Seddighi, Laminarisation of flow at low Reynolds number due to streamwise body force, J. Fluid Mech. 809, 31 (2016).
  15. K. R. Sreenivasan, Laminarescent, relaminarizing and retransitional flows, Acta Mech. 44, 1 (1982).
  16. T. W. Berger, J. Kim, C. Lee, and J. Lim, Turbulent boundary layer control utilizing the Lorentz force, Phys. Fluids 12, 631 (2000).
  17. B. E. Launder, Laminarization of the turbulent boundary layer in a severe acceleration, J. Appl. Mech. 31, 707 (1964).
  18. R. Narasimha and K. R. Sreenivasan, Relaminarization in highly accelerated turbulent boundary layers, J. Fluid Mech. 61, 417 (1973).
  19. C. D. Cantwell, D. Moxey, A. Comerford, A. Bolis, G. Rocco, G. Mengaldo, D. De Grazia, S. Yakovlev, J.-E. Lombard, D. Ekelschot, B. Jordi, H. Xu, Y. Mohamied, C. Eskilsson, B. Nelson, P. Vos, C. Biotto, R. M. Kirby, and S. J. Sherwin, Nektar++: An open-source spectral/hp element framework, Comput. Phys. Commun. 192, 205 (2015).
  20. C. D. Cantwell, S. J. Sherwin, R. M. Kirby, and P. H. J. Kelly, From h to p efficiently: Strategy selection for operator evaluation on hexahedral and tetrahedral elements, Comput. Fluids 43, 23 (2011).
  21. G. E. Karniadakis, M. Israeli, and S. A. Orszag, High-order splitting methods for the incompressible Navier-Stokes equations, J. Comput. Phys. 97, 414 (1991).
  22. N. Yadav, S. W. Gepner, and J. Szumbarski, Flow dynamics in longitudinally grooved duct, Phys. Fluids 30, 104105 (2018).
  23. X. Chu, G. Yang, S. Pandey, and B. Weigand, Direct numerical simulation of convective heat transfer in porous media, Int. J. Heat Mass Transfer 133, 11 (2019).
  24. H. Xu, J.-E. W. Lombard, and S. J. Sherwin, Influence of localised smooth steps on the instability of a boundary layer, J. Fluid Mech. 817, 138 (2017).
  25. H. Xu, S. M. Mughal, E. R. Gowree, C. J. Atkin, and S. J. Sherwin, Destabilisation and modification of Tollmien-Schlichting disturbances by a three-dimensional surface indentation, J. Fluid Mech. 819, 592 (2017).
  26. J. Kim, P. Moin, and R. Moser, Turbulence statistics in fully developed channel flow at low Reynolds number, J. Fluid Mech. 177, 133 (1987).
  27. P. Moin and J. Kim, Numerical investigation of turbulent channel flow, J. Fluid Mech. 118, 341 (1982).
  28. C. H. Crawford and G. E. Karniadakis, Reynolds stress analysis of EMHD-controlled wall turbulence. Part I. Streamwise forcing, Phys. Fluids 9, 788 (1997).
  29. J. Kim, Physics and control of wall turbulence for drag reduction, Philos. Trans. Math Phys. Eng. Sci. 369, 1396 (2011).
  30. F. Waleffe, On a self-sustaining process in shear flows, Phys. Fluids 9, 883 (1997).
  31. J. M. Wallace, Quadrant analysis in turbulence research: History and evolution, Annu. Rev. Fluid Mech. 48, 131 (2016).
  32. J. M. Wallace and R. S. Brodkey, Reynolds stress and joint probability density distributions in the u-v plane of a turbulent channel flow, Phys. Fluids 20, 351 (1977).
  33. Y. Hwang, Statistical structure of self-sustaining attached eddies in turbulent channel flow, J. Fluid Mech. 767, 254 (2015).
  34. Y. Hwang, Near-wall turbulent fluctuations in the absence of wide outer motions, J. Fluid Mech. 723, 264 (2013).
  35. M. S. Chong, A. E. Perry, and B. J. Cantwell, A general classification of three-dimensional flow fields, Phys. Fluids 2, 765 (1990).
  36. H. M. Blackburn, N. N. Mansour, and B. J. Cantwell, Topology of fine-scale motions in turbulent channel flow, J. Fluid Mech. 310, 269 (1996).
  37. J. Soria, R. Sondergaard, B. J. Cantwell, M. S. Chong, and A. E. Perry, A study of the fine-scale motions of incompressible time-developing mixing layers, Phys. Fluids 6, 871 (1994).
  38. M. S. Dodd and L. Jofre, Small-scale flow topologies in decaying isotropic turbulence ladden with finite-size droplets, Phys. Rev. Fluids 4, 064303 (2019).
  39. A. Ooi, J. Martin, J. Soria, and M. S. Chong, A study of the evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence, J. Fluid Mech. 381, 141 (1999).
  40. M. Lee and R. D. Moser, Direct numerical simulation of turbulent channel flow up to Reτ≈5200, J. Fluid Mech. 774, 395 (2015).
  41. R. D. Moser, J. Kim, and N. N. Mansour, Direct numerical simulation of turbulent channel flow up to Reτ=590, Phys. Fluids 11, 943 (1999).
  42. A. W. Vreman and J. G. M. Kuerten, Comparison of direct numerical simulation databases of turbulent channel flow at Reτ=180, Phys. Fluids 26, 015102 (2014).

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Phys. Rev. Fluids 5, 104604– Published 12 October, 2020
  • Received 26 March 2020
  • Accepted 22 September 2020
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