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Modulation of large-scale structures by neutrally buoyant and inertial finite-size particles in turbulent Couette flow

Guiquan Wang1,2,3,*, Micheline Abbas2,3,†, and Eric Climent1,3,‡

  • 1Institut de Mécanique des Fluides de Toulouse (IMFT), Université de Toulouse, CNRS-INPT-UPS, Toulouse, France
  • 2Laboratoire de Génie Chimique, Université de Toulouse, CNRS-INPT-UPS, Toulouse, France
  • 3FERMaT, Université de Toulouse, CNRS, INPT, INSA, UPS, Toulouse, France

  • *gwang4academy@gmail.com
  • †Micheline.Abbas@ensiacet.fr
  • ‡ecliment@imft.fr
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Phys. Rev. Fluids 2, 084302 – Published 11 August, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.084302

Abstract

Particle-resolved numerical simulations based on the Force Coupling Method are carried out to study the effect of finite-size particles on turbulent plane Couette flow. The Reynolds number is close to the laminar-turbulent transition, such that large-scale rotational structures are well developed and self-sustained. The study particularly considers the effect of concentration, particle size, and particle-to-fluid density ratio on the mixture flow features. Time-averaged profiles, in the wall-normal direction, of the mean flow and Reynolds stress components reveal that there is no significant difference between single-phase and two-phase flows at equivalent effective Reynolds number, except that the wall shear stress is higher for the two-phase flow. However, temporal and modal analysis of flow fluctuations suggest that besides injecting small-scale perturbation due to their rigidity, particles have an effect on the regeneration cycle of turbulence. Indeed, the shape of the streaks and the intermittent character of the flow (amplitude and period of oscillation of the modal fluctuation energy) are all altered by the particle presence, and especially by the inertial ones.

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References (73)

  1. M. Abbas, E. Climent, O. Simonin, and M. R. Maxey, Dynamics of bidisperse suspensions under Stokes flows: Linear shear flow and sedimentation, Phys. Fluids 18, 121504 (2006).
  2. V. Avsarkisov, S. Hoyas, M. Oberlack, and J. García-Galache, Turbulent plane Couette flow at moderately high Reynolds number, J. Fluid Mech. 751, R1 (2014).
  3. S. Balachandar and J. K. Eaton, Turbulent dispersed multiphase flow, Annu. Rev. Fluid. Mech. 42, 111 (2010).
  4. G. Batchelor, The stress system in a suspension of force-free particles, J. Fluid Mech. 41, 545 (1970).
  5. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 2000).
  6. K. H. Bech, N. Tillmark, P. H. Alfredsson, and H. I. Andersson, An investigation of turbulent plane Couette flow at low Reynolds numbers, J. Fluid Mech. 286, 291 (1995).
  7. T. M. Burton and J. K. Eaton, Fully resolved simulations of particle-turbulence interaction, J. Fluid Mech. 545, 67 (2005).
  8. I. Calmet and J. Magnaudet, Large-eddy simulation of high-Schmidt number mass transfer in a turbulent channel flow, Phys. Fluids 9, 438 (1997).
  9. F. Candelier and J. Angilella, Analytical investigation of the combined effect of fluid inertia and unsteadiness on low-Re particle centrifugation, Phys. Rev. E 73, 047301 (2006).
  10. F. Candelier, J. Angilella, and M. Souhar, On the effect of the Boussinesq-Basset force on the radial migration of a Stokes particle in a vortex, Phys. Fluids 16, 1765 (2004).
  11. E. Climent and M. Maxey, Numerical simulations of random suspensions at finite Reynolds numbers, Int. J. Multiphase Flow 29, 579 (2003).
  12. E. Climent and M. R. Maxey, The force coupling method: A flexible approach for the simulation of particulate flows, in Theoretical Methods for Micro Scale Viscous Flows, edited by F. Feuillebois and A. Sellier (Transworld Research World, 2009).
  13. A. Daitche, Advection of inertial particles in the presence of the history force: Higher order numerical schemes, J. Comput. Phys. 254, 93 (2013).
  14. D. S. Dandy and H. A. Dwyer, A sphere in shear flow at finite Reynolds number: Effect of shear on particle lift, drag, and heat transfer, J. Fluid Mech. 216, 381 (1990).
  15. J. B. de Motta, W.-P. Breugem, B. Gazanion, J.-L. Estivalezes, S. Vincent, and E. Climent, Numerical modeling of finite-size particle collisions in a viscous fluid, Phys. Fluids 25, 083302 (2013).
  16. C. D. Dritselis and N. S. Vlachos, Numerical study of educed coherent structures in the near-wall region of a particle-laden channel flow, Phys. Fluids 20, 055103 (2008).
  17. Y. Duguet, P. Schlatter, and D. S. Henningson, Formation of turbulent patterns near the onset of transition in plane Couette flow, J. Fluid Mech. 650, 119 (2010).
  18. S. Elghobashi and G. Truesdell, On the two-way interaction between homogeneous turbulence and dispersed solid particles. I: Turbulence modification, Phys. Fluids A 5, 1790 (1993).
  19. J. Feng, H. Hu, and D. Joseph, Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2. Couette and Poiseuille flows, J. Fluid Mech. 277, 271 (1994).
  20. R. Gore and C. T. Crowe, Effect of particle size on modulating turbulent intensity, Int. J. Multiphase Flow 15, 279 (1989).
  21. H. Haddadi and J. F. Morris, Microstructure and rheology of finite inertia neutrally buoyant suspensions, J. Fluid Mech. 749, 431 (2014).
  22. J. Halow and G. Wills, Radial migration of spherical particles in Couette systems, AIChE J. 16, 281 (1970).
  23. J. M. Hamilton and F. H. Abernathy, Streamwise vortices and transition to turbulence, J. Fluid Mech. 264, 185 (1994).
  24. J. M. Hamilton, J. Kim, and F. Waleffe, Regeneration mechanisms of near-wall turbulence structures, J. Fluid Mech. 287, 317 (1995).
  25. B. Ho and L. Leal, Inertial migration of rigid spheres in two-dimensional unidirectional flows, J. Fluid Mech. 65, 365 (1974).
  26. T. Itano and S. Toh, The dynamics of bursting process in wall turbulence, J. Phys. Soc. Jpn. 70, 703 (2001).
  27. J. Jeong, F. Hussain, W. Schoppa, and J. Kim, Coherent structures near the wall in a turbulent channel flow, J. Fluid Mech. 332, 185 (1997).
  28. J. Jiménez and P. Moin, The minimal flow unit in near-wall turbulence, J. Fluid Mech. 225, 213 (1991).
  29. G. Kawahara and S. Kida, Periodic motion embedded in plane Couette turbulence: Regeneration cycle and burst, J. Fluid Mech. 449, 291 (2001).
  30. J. Klinkenberg, G. Sardina, H. De Lange, and L. Brandt, Numerical study of laminar-turbulent transition in particle-laden channel flow, Phys. Rev. E 87, 043011 (2013).
  31. J. Komminaho, A. Lundbladh, and A. V. Johansson, Very large structures in plane turbulent Couette flow, J. Fluid Mech. 320, 259 (1996).
  32. J. D. Kulick, J. R. Fessler, and J. K. Eaton, Particle response and turbulence modification in fully developed channel flow, J. Fluid Mech. 277, 109 (1994).
  33. P. M. Kulkarni and J. F. Morris, Suspension properties at finite Reynolds number from simulated shear flow, Phys. Fluids 20, 040602 (2008).
  34. I. Lashgari, F. Picano, W.-P. Breugem, and L. Brandt, Laminar, Turbulent, and Inertial Shear-Thickening Regimes in Channel Flow of Neutrally Buoyant Particle Suspensions, Phys. Rev. Lett. 113, 254502 (2014).
  35. M. J. Lee and J. Kim, The structure of turbulence in a simulated plane Couette flow, in Proceedings of the 8th Symposium on Turbulent Shear Flows (1991), http://turb.seas.ucla.edu/∼jkim/papers/couette.pdf.
  36. Y. Li, J. B. McLaughlin, K. Kontomaris, and L. Portela, Numerical simulation of particle-laden turbulent channel flow, Phys. Fluids 13, 2957 (2001).
  37. V. Loisel, M. Abbas, O. Masbernat, and E. Climent, The effect of neutrally buoyant finite-size particles on channel flows in the laminar-turbulent transition regime, Phys. Fluids 25, 123304 (2013).
  38. V. Loisel, M. Abbas, O. Masbernat, and E. Climent, Inertia-driven particle migration and mixing in a wall-bounded laminar suspension flow, Phys. Fluids 27, 123304 (2015).
  39. S. Lomholt and M. R. Maxey, Force-coupling method for particulate two-phase flow: Stokes flow, J. Comput. Phys. 184, 381 (2003).
  40. J.-P. Matas, J. F. Morris, and E. Guazzelli, Transition to Turbulence in Particulate Pipe Flow, Phys. Rev. Lett. 90, 014501 (2003).
  41. M. Maxey, Examples of fluid-particle interactions in dispersed two-phase flow, in Proceedings of the 30th AIAA Fluid Dynamics Conference, Norfolk, VA (AIAA, 1999), pp. 1–5.
  42. M. Maxey, Simulation methods for particulate flows and concentrated suspensions, Annu. Rev. Fluid. Mech. 49, 171 (2017).
  43. M. Maxey and B. Patel, Localized force representations for particles sedimenting in Stokes flow, Int. J. Multiphase Flow 27, 1603 (2001).
  44. M. R. Maxey and J. J. Riley, Equation of motion for a small rigid sphere in a nonuniform flow, Phys. Fluids 26, 883 (1983).
  45. R. Mei, An approximate expression for the shear lift force on a spherical particle at finite Reynolds number, Int. J. Multiphase Flow 18, 145 (1992).
  46. D. R. Mikulencak and J. F. Morris, Stationary shear flow around fixed and free bodies at finite Reynolds number, J. Fluid Mech. 520, 215 (2004).
  47. S. S. Ozarkar and A. S. Sangani, A method for determining Stokes flow around particles near a wall or in a thin film bounded by a wall and a gas-liquid interface, Phys. Fluids 20, 063301 (2008).
  48. Y. Pan and S. Banerjee, Numerical simulation of particle interactions with wall turbulence, Phys. Fluids 8, 2733 (1996).
  49. F. Picano, W.-P. Breugem, and L. Brandt, Turbulent channel flow of dense suspensions of neutrally buoyant spheres, J. Fluid Mech. 764, 463 (2015).
  50. S. Pirozzoli, M. Bernardini, and P. Orlandi, Turbulence statistics in Couette flow at high Reynolds number, J. Fluid Mech. 758, 327 (2014).
  51. M. Rashidi, G. Hetsroni, and S. Banerjee, Particle-turbulence interaction in a boundary layer, Int. J. Multiphase Flow 16, 935 (1990).
  52. H. Reichardt, Über die Geschwindigkeitsverteilung in einer geradlinigen turbulenten Couetteströmung, J. Appl. Math. Mech./Z. Angew. Math. Mech. 36, S26 (1956).
  53. D. H. Richter, Turbulence modification by inertial particles and its influence on the spectral energy budget in planar Couette flow, Phys. Fluids 27, 063304 (2015).
  54. D. H. Richter and P. P. Sullivan, Momentum transfer in a turbulent, particle-laden Couette flow, Phys. Fluids 25, 053304 (2013).
  55. D. H. Richter and P. P. Sullivan, Modification of near-wall coherent structures by inertial particles, Phys. Fluids 26, 103304 (2014).
  56. S. K. Robinson, A review of vortex structures and associated coherent motions in turbulent boundary layers, in Structure of Turbulence and Drag Reduction (Springer, New York, 1990), pp. 23–50.
  57. C. Rogers and J. Eaton, The effect of small particles on fluid turbulence in a flat-plate, turbulent boundary layer in air, Phys. Fluids A 3, 928 (1991).
  58. P. Saffman, The lift on a small sphere in a slow shear flow, J. Fluid Mech. 22, 385 (1965).
  59. A. S. Sangani, A. Acrivos, and P. Peyla, Roles of particle-wall and particle-particle interactions in highly confined suspensions of spherical particles being sheared at low Reynolds numbers, Phys. Fluids 23, 083302 (2011).
  60. W. Schoppa and F. Hussain, Coherent structure generation in near-wall turbulence, J. Fluid Mech. 453, 57 (2002).
  61. X. Shao, T. Wu, and Z. Yu, Fully resolved numerical simulation of particle-laden turbulent flow in a horizontal channel at a low Reynolds number, J. Fluid Mech. 693, 319 (2012).
  62. G. Subramanian, D. L. Koch, J. Zhang, and C. Yang, The influence of the inertially dominated outer region on the rheology of a dilute dispersion of low-Reynolds-number drops or rigid particles, J. Fluid Mech. 674, 307 (2011).
  63. T. Tanaka and J. K. Eaton, Sub-Kolmogorov resolution partical image velocimetry measurements of particle-laden forced turbulence, J. Fluid Mech. 643, 177 (2010).
  64. N. Tillmark and P. H. Alfredsson, Experiments on transition in plane Couette flow, J. Fluid Mech. 235, 89 (1992).
  65. T. Tsukahara, H. Kawamura, and K. Shingai, DNS of turbulent Couette flow with emphasis on the large-scale structure in the core region, J. Turbul 7, N19 (2006).
  66. P. Vasseur and R. Cox, The lateral migration of a spherical particle in two-dimensional shear flows, J. Fluid Mech. 78, 385 (1976).
  67. F. Waleffe, On a self-sustaining process in shear flows, Phys. Fluids 9, 883 (1997).
  68. F. Waleffe, J. Kim, and J. M. Hamilton, On the origin of streaks in turbulent shear flows, in Turbulent Shear Flows 8 (Springer, New York, 1993), pp. 37–49.
  69. K. Yeo and M. R. Maxey, Dynamics and rheology of concentrated, finite-Reynolds-number suspensions in a homogeneous shear flow, Phys. Fluids 25, 053303 (2013).
  70. Z. Yu, T. Wu, X. Shao, and J. Lin, Numerical studies of the effects of large neutrally buoyant particles on the flow instability and transition to turbulence in pipe flow, Phys. Fluids 25, 043305 (2013).
  71. B. Yung, H. Merry, and T. Bott, The role of turbulent bursts in particle re-entrainment in aqueous systems, Chem. Eng. Sci. 44, 873 (1989).
  72. Q. Zhang and A. Prosperetti, Physics-based analysis of the hydrodynamic stress in a fluid-particle system, Phys. Fluids 22, 033306 (2010).
  73. L. Zhao, H. I. Andersson, and J. J. Gillissen, Interphasial energy transfer and particle dissipation in particle-laden wall turbulence, J. Fluid Mech. 715, 32 (2013).

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Phys. Rev. Fluids 2, 084302– Published 11 August, 2017
  • Received 13 December 2016

©2017 American Physical Society

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