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Two-way momentum and thermal coupling particle-laden compressible turbulent boundary layers

Ming Yu1, Yibin Du1,2, Qian Wang1,3, Siwei Dong1,*, and Xianxu Yuan1,†

  • *Contact author: dswayb@126.com
  • †Contact author: yuanxianxu2023@163.com
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Phys. Rev. Fluids 10, 024606 – Published 28 February, 2025

DOI: https://doi.org/10.1103/PhysRevFluids.10.024606

Abstract

In the present study, we investigate the interphasial momentum and thermal interactions between the fluid and particles in compressible turbulent boundary layers by exploiting direct numerical simulation databases at the free-stream Mach number of 2.0 laden with zero, finite, and infinite thermal inertia particles. Results show that the particle thermal inertia modulates the turbulent statistics and coherent structures significantly, with the most profound effects manifested in the cases with infinite thermal inertia particles that constantly absorb heat from or release heat to the fluid. Besides the variation of the mean fluid temperature due to the presence of these endothermic or exothermic particles, turbulence suppression by the hot particles and augmentation by the cold particles (compared with the zero thermal inertia particles) are also identified by the variation of the morphology of the velocity streaks, the intensity of the vortical motions, the Reynolds shear stress, and the skin friction. From the perspective of the near-wall coherent structures, we found that the particle feedback force inhibits the wall-normal turbulent fluctuations, with the positive and negative particle feedback heat aligning primarily with the ejection and sweeping events, respectively.

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References (53)

  1. S. Elghobashi, On predicting particle-laden turbulent flows, Appl. Sci. Res. 52, 309 (1994).
  2. L. Brandt and F. Coletti, Particle-laden turbulence: Progress and perspectives, Annu. Rev. Fluid Mech. 54, 159 (2022).
  3. J. Capecelatro and J. L. Wagner, Gas–particle dynamics in high-speed flows, Annu. Rev. Fluid Mech. 56, 379 (2024).
  4. M. Carbone, A. D. Bragg, and M. Iovieno, Multiscale fluid–particle thermal interaction in isotropic turbulence, J. Fluid Mech. 881, 679 (2019).
  5. I. Saito, T. Watanabe, and T. Gotoh, Modulation of fluid temperature fluctuations by particles in turbulence, J. Fluid Mech. 931, A6 (2022).
  6. H. R. Z. Pour and M. Iovieno, The role of particle inertia and thermal inertia in heat transfer in a non-isothermal particle-laden turbulent flow, Fluids 9, 29 (2024).
  7. F. Zonta, C. Marchioli, and A. Soldati, Direct numerical simulation of turbulent heat transfer modulation in micro-dispersed channel flow, Acta Mech. 195, 305 (2008).
  8. J. G. M. Kuerten, C. W. M. Van Der Geld, and B. J. Geurts, Turbulence modification and heat transfer enhancement by inertial particles in turbulent channel flow, Phys. Fluids 23, 123301 (2011).
  9. B. Lessani and M. Nakhaei, Large-eddy simulation of particle-laden turbulent flow with heat transfer, Int. J. Heat Mass Transf. 67, 974 (2013).
  10. C. Liu, S. Tang, and Y. Dong, Effect of inertial particles with different specific heat capacities on heat transfer in particle-laden turbulent flow, Appl. Math. Mech. Engl. Ed. 38, 1149 (2017).
  11. C. Liu, S. Tang, Y. Dong, and L. Shen, Heat transfer modulation by inertial particles in particle-laden turbulent channel flow, J. Heat Trans. 140, 112003 (2018).
  12. D. Li, K. Luo, and J. Fan, Direct numerical simulation of turbulent flow and heat transfer in a spatially developing turbulent boundary layer laden with particles, J. Fluid Mech. 845, 417 (2018).
  13. D. Li, K. Luo, Z. Wang, W. Xiao, and J. Fan, Drag enhancement and turbulence attenuation by small solid particles in an unstably stratified turbulent boundary layer, Phys. Fluids 31, 063303 (2019).
  14. H. Pouransari, H. Kolla, J. H. Chen, and A. Mani, Spectral analysis of energy transfer in turbulent flows laden with heated particles, J. Fluid Mech. 813, 1156 (2017).
  15. H. Pouransari and A. Mani, Particle-to-fluid heat transfer in particle-laden turbulence, Phys. Rev. Fluids 3, 074304 (2018).
  16. G. Chen, H. Wang, K. Luo, and J. Fan, Two-way coupled turbulent particle-laden boundary layer combustion over a flat plate, J. Fluid Mech. 948, A12 (2022).
  17. Y. Ruan and Z. Xiao, On the shear-induced lift in two-way coupled turbulent channel flow laden with heavy particles, J. Fluid Mech. 984, A24 (2024).
  18. M. Yu, Y. Du, Q. Wang, S. Dong, and X. Yuan, Momentum and kinetic energy transport in supersonic particle-laden turbulent boundary layers, Phys. Rev. Fluids 9, 104303 (2024).
  19. A. J. Musker, Explicit expression for the smooth wall velocity distribution in a turbulent boundary layer, AIAA J. 17, 655 (1979).
  20. Y. Zhang, W. Bi, F. Hussain, and Z. She, A generalized Reynolds analogy for compressible wall-bounded turbulent flows, J. Fluid Mech. 739, 392 (2014).
  21. 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).
  22. S. Pirozzoli and T. Colonius, Generalized characteristic relaxation boundary conditions for unsteady compressible flow simulations, J. Comput. Phys. 248, 109 (2013).
  23. M. Bernardini, D. Modesti, F. Salvadore, and S. Pirozzoli, STREAmS: A high-fidelity accelerated solver for direct numerical simulation of compressible turbulent flows, Comput. Phys. Commun. 263, 107906 (2021).
  24. S. Pirozzoli, Generalized conservative approximations of split convective derivative operators, J. Comput. Phys. 229, 7180 (2010).
  25. S. Pirozzoli, Numerical methods for high-speed flows, Annu. Rev. Fluid Mech. 43, 163 (2011).
  26. W. E. Ranz, Evaporation from drops, Chem. Eng. Prog. 48, 142 (1952).
  27. E. Loth, J. Tyler Daspit, M. Jeong, T. Nagata, and T. Nonomura, Supersonic and hypersonic drag coefficients for a sphere, AIAA J. 59, 3261 (2021).
  28. M. Bernardini, Reynolds number scaling of inertial particle statistics in turbulent channel flows, J. Fluid Mech. 758, R1 (2014).
  29. W. Xiao, T. Jin, K. Luo, Q. Dai, and J. Fan, Eulerian–Lagrangian direct numerical simulation of preferential accumulation of inertial particles in a compressible turbulent boundary layer, J. Fluid Mech. 903, A19 (2020).
  30. M. Yu, L. Zhao, X. Yuan, and C. Xu, Transport of inertial spherical particles in compressible turbulent boundary layers, J. Fluid Mech. 990, A5 (2024).
  31. 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).
  32. L. Zhao, H. I. Andersson, and J. Gillissen, Interphasial energy transfer and particle dissipation in particle-laden wall turbulence, J. Fluid Mech. 715, 32 (2013).
  33. C. Marchioli and A. Soldati, Mechanisms for particle transfer and segregation in a turbulent boundary layer, J. Fluid Mech. 468, 283 (2002).
  34. G. Sardina, P. Schlatter, L. Brandt, F. Picano, and C. M. Casciola, Wall accumulation and spatial localization in particle-laden wall flows, J. Fluid Mech. 699, 50 (2012).
  35. T. Zhou, L. Zhao, W. Huang, and C. Xu, Non-monotonic effect of mass loading on turbulence modulations in particle-laden channel flow, Phys. Fluids 32, 043304 (2020).
  36. L. Duan, I. Beekman, and M. P. Martín, Direct numerical simulation of hypersonic turbulent boundary layers. Part 2. Effect of wall temperature, J. Fluid Mech. 655, 419 (2010).
  37. M. Shadloo, A. Hadjadj, and F. Hussain, Statistical behavior of supersonic turbulent boundary layers with heat transfer at M∞=2, Int. J. Heat Fluid Flow 53, 113 (2015).
  38. Q. Wei, P. Wang, and X. Zheng, Modulations of turbulent/non-turbulent interfaces by particles in turbulent boundary layers, J. Fluid Mech. 983, A15 (2024).
  39. J. Hunt, A. Wray, and P. Moin, Eddies, streams, and convergence zones in turbulent flows, in Center for Turbulence Research Report CTR-S88 (Center for Turbulence Research, Stanford, CA, 1988), p. 193.
  40. H. Nasr, G. Ahmadi, and J. McLaughlin, A DNS study of effects of particle–particle collisions and two-way coupling on particle deposition and phasic fluctuations, J. Fluid Mech. 640, 507 (2009).
  41. E. R. Van Driest, Turbulent boundary layer in compressible fluids, J. Aeronaut. Sci. 18, 145 (1951).
  42. W. Gao, R. Samtaney, and D. Richter, Direct numerical simulation of particle-laden flow in an open channel at Reτ=5186, J. Fluid Mech. 957, A3 (2023).
  43. H. Liu and X. Zheng, Large-scale structures of wall-bounded turbulence in single-and two-phase flows: Advancing understanding of the atmospheric surface layer during sandstorms, Flow 1, E5 (2021).
  44. Y. Feng, H. Liu, and X. Zheng, The modulation of coherent structures by the near-wall motions of particles, J. Fluid Mech. 981, A26 (2024).
  45. C. Dritselis and N. Vlachos, Numerical investigation of momentum exchange between particles and coherent structures in low Re turbulent channel flow, Phys. Fluids 23, 025103 (2011).
  46. J. Lee and C. Lee, Modification of particle-laden near-wall turbulence: Effect of Stokes number, Phys. Fluids 27, 023303 (2015).
  47. D. Li, K. Luo, and J. Fan, Modulation of turbulence by dispersed solid particles in a spatially developing flat-plate boundary layer, J. Fluid Mech. 802, 359 (2016).
  48. G. Wang and D. Richter, Modulation of the turbulence regeneration cycle by inertial particles in planar Couette flow, J. Fluid Mech. 861, 901 (2019).
  49. C. Wenzel, T. Gibis, and M. Kloker, About the influences of compressibility, heat transfer and pressure gradients in compressible turbulent boundary layers, J. Fluid Mech. 930, A1 (2022).
  50. C. Zhang, L. Duan, and M. Choudhari, Direct numerical simulation database for supersonic and hypersonic turbulent boundary layers, AIAA J. 56, 4297 (2018).
  51. J. Huang, L. Duan, and M. M. Choudhari, Direct numerical simulation of hypersonic turbulent boundary layers: Effect of spatial evolution and Reynolds number, J. Fluid Mech. 937, A3 (2022).
  52. A. Walz, Boundary Layers of Flow and Temperature (MIT Press, Cambridge, MA, 1969).
  53. P. G. Huang, G. N. Coleman, and P. Bradshaw, Compressible turbulent channel flows: DNS results and modelling, J. Fluid Mech. 305, 185 (1995).

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Phys. Rev. Fluids 10, 024606– Published 28 February, 2025
  • Received 11 November 2024
  • Accepted 12 February 2025
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