Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Editors' Suggestion
  • Open Access
  • Access by Xinjiang University

Droplet bag formation in turbulent airflows

Kaitao Tang, Thomas A. A. Adcock, and Wouter Mostert

Phys. Rev. Fluids 10, 033604 – Published 19 March, 2025

DOI: https://doi.org/10.1103/PhysRevFluids.10.033604

Abstract

We present numerical simulations investigating the evolution of liquid droplets into baglike structures in turbulent airflows. The droplet bag breakup problem is of significance for many multiphase processes in scientific and engineering applications. Turbulent fluctuations are introduced synthetically into a mean flow, and the droplet is inserted when the air-phase turbulence reaches a statistically stationary state. The morphological evolution of the droplet under different turbulence configurations is retrieved and analyzed in comparison with laminar aerobreakup results. While the detailed evolution history of individual droplets varies widely between different realizations of the turbulent flow, common dynamic and morphological evolution patterns are observed. The presence of turbulence is found to enhance the drag coefficient of the droplet as it flattens. At late times, the droplet becomes tilted and increasingly corrugated under strong turbulence intensity. We quantify these phenomena and discuss their possible governing mechanisms associated with turbulence intermittency. Lastly, the influences of liquid-gas viscosity ratio are examined and the implications of air-phase turbulence on the later bag film breakup process are discussed.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (74)

  1. E. Villermaux, Fragmentation, Annu. Rev. Fluid Mech. 39, 419 (2007).
  2. I. M. Jackiw and N. Ashgriz, Prediction of the droplet size distribution in aerodynamic droplet breakup, J. Fluid Mech. 940, A17 (2022).
  3. K. Tang, T. A. A. Adcock, and W. Mostert, Bag film breakup of droplets in uniform airflows, J. Fluid Mech. 970, A9 (2023).
  4. E. Villermaux and B. Bossa, Single-drop fragmentation determines size distribution of raindrops, Nat. Phys. 5, 697 (2009).
  5. Y. Troitskaya, A. Kandaurov, O. Ermakova, D. Kozlov, D. Sergeev, and S. Zilitinkevich, Bag-breakup fragmentation as the dominant mechanism of sea-spray production in high winds, Sci. Rep. 7, 1614 (2017).
  6. L. Bourouiba, The fluid dynamics of disease transmission, Annu. Rev. Fluid Mech. 53, 473 (2021).
  7. P. Kant, C. Pairetti, Y. Saade, S. Popinet, S. Zaleski, and D. Lohse, Bag-mediated film atomization in a cough machine, Phys. Rev. Fluids 8, 074802 (2023).
  8. B. Boyd, S. Becker, and Y. Ling, Simulation and modeling of the vaporization of a freely moving and deforming drop at low to moderate Weber numbers, Int. J. Heat Mass Transf. 218, 124735 (2024).
  9. D. Lohse, Fundamental fluid dynamics challenges in inkjet printing, Annu. Rev. Fluid Mech. 54, 349 (2022).
  10. M. Jalaal and K. Mehravaran, Transient growth of droplet instabilities in a stream, Phys. Fluids 26, 012101 (2014).
  11. D. R. Guildenbecher, C. López-Rivera, and P. E. Sojka, Secondary atomization, Exp. Fluids 46, 371 (2009).
  12. F. Marcotte and S. Zaleski, Density contrast matters for drop fragmentation thresholds at low Ohnesorge number, Phys. Rev. Fluids 4, 103604 (2019).
  13. L.-P. Hsiang and G. M. Faeth, Drop deformation and breakup due to shock wave and steady disturbances, Int. J. Multiphase Flow 21, 545 (1995).
  14. T. G. Theofanous, Aerobreakup of Newtonian and viscoelastic liquids, Annu. Rev. Fluid Mech. 43, 661 (2011).
  15. W. Yang, M. Jia, Z. Che, K. Sun, and T. Wang, Transitions of deformation to bag breakup and bag to bag-stamen breakup for droplets subjected to a continuous gas flow, Int. J. Heat Mass Transf. 111, 884 (2017).
  16. F. Veron, Ocean spray, Annu. Rev. Fluid Mech. 47, 507 (2015).
  17. Y. Troitskaya, A. Kandaurov, O. Ermakova, D. Kozlov, D. Sergeev, and S. Zilitinkevich, The “bag breakup” spume droplet generation mechanism at high winds. Part I: Spray generation function, J. Phys. Oceanogr. 48, 2167 (2018).
  18. S. Sharma, N. K. Chandra, S. Basu, and A. Kumar, Advances in droplet aerobreakup, Eur. Phys. J.: Spec. Top. 232, 719 (2023).
  19. H. Zhao, H. Liu, J. Xu, and W. Li, Experimental study of drop size distribution in the bag breakup regime, Ind. Eng. Chem. Res. 50, 9767 (2011).
  20. I. M. Jackiw and N. Ashgriz, On aerodynamic droplet breakup, J. Fluid Mech. 913, A33 (2021).
  21. S. S. Ade, L. D. Chandrala, and K. C. Sahu, Size distribution of a drop undergoing breakup at moderate Weber numbers, J. Fluid Mech. 959, A38 (2023).
  22. L. Chirco, J. Maarek, S. Popinet, and S. Zaleski, Manifold death: A volume of fluid implementation of controlled topological changes in thin sheets by the signature method, J. Comput. Phys. 467, 111468 (2022).
  23. Y. Kulkarni, C. Pairetti, R. Villiers, S. Popinet, and S. Zaleski, The atomizing pulsed jet, arXiv:2405.01959.
  24. D. Jiao, K. Jiao, F. Zhang, and Q. Du, Direct numerical simulation of droplet deformation in turbulent flows with different velocity profiles, Fuel 247, 302 (2019).
  25. P. P. Sullivan and J. C. McWilliams, Dynamics of winds and currents coupled to surface waves, Annu. Rev. Fluid Mech. 42, 19 (2010).
  26. J. Wu, S. Popinet, and L. Deike, Revisiting wind wave growth with fully coupled direct numerical simulations, J. Fluid Mech. 951, A18 (2022).
  27. Z. Xu, T. Wang, and Z. Che, Droplet deformation and breakup in shear flow of air, Phys. Fluids 32, 052109 (2020).
  28. A. Vela-Martín and M. Avila, Memoryless drop breakup in turbulence, Sci. Adv. 8, eabp9561 (2022).
  29. M. Crialesi-Esposito, S. Chibbaro, and L. Brandt, The interaction of droplet dynamics and turbulence cascade, Commun. Phys. 6, 5 (2023).
  30. H. Zhao, D. Nguyen, D. J. Duke, D. Edgington-Mitchell, J. Soria, H.-F. Liu, and D. Honnery, Effect of turbulence on drop breakup in counter air flow, Int. J. Multiphase Flow 120, 103108 (2019).
  31. Z. Xu, T. Wang, and Z. Che, Droplet breakup in airflow with strong shear effect, J. Fluid Mech. 941, A54 (2022).
  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. S. Perrard, A. Rivière, W. Mostert, and L. Deike, Bubble deformation by a turbulent flow, J. Fluid Mech. 920, A15 (2021).
  34. A. Rivière, D. J. Ruth, W. Mostert, L. Deike, and S. Perrard, Capillary driven fragmentation of large gas bubbles in turbulence, Phys. Rev. Fluids 7, 083602 (2022).
  35. A. Loisy and A. Naso, Interaction between a large buoyant bubble and turbulence, Phys. Rev. Fluids 2, 014606 (2017).
  36. N. Kornev and E. Hassel, Method of random spots for generation of synthetic inhomogeneous turbulent fields with prescribed autocorrelation functions, Commun. Numer. Methods Eng. 23, 35 (2007).
  37. Z.-T. Xie and I. P. Castro, Efficient generation of inflow conditions for large-eddy simulation of street-scale flows, Flow, Turbul. Combust. 81, 449 (2008).
  38. A. Rivière, W. Mostert, S. Perrard, and L. Deike, Sub-Hinze scale bubble production in turbulent bubble break-up, J. Fluid Mech. 917, A40 (2021).
  39. I. Rodriguez, R. Borell, O. Lehmkuhl, C. D. P. Segarra, and A. Oliva, Direct numerical simulation of the flow over a sphere at Re = 3700, J. Fluid Mech. 679, 263 (2011).
  40. M. S. Dodd and A. Ferrante, On the interaction of Taylor length scale size droplets and isotropic turbulence, J. Fluid Mech. 806, 356 (2016).
  41. S. Elghobashi, Direct numerical simulation of turbulent flows laden with droplets or bubbles, Annu. Rev. Fluid Mech. 51, 217 (2019).
  42. S. Popinet, Basilisk flow solver and PDE library, http://basilisk.fr
  43. S. Popinet, Numerical models of surface tension, Annu. Rev. Fluid Mech. 50, 49 (2018).
  44. K. Tang, T. A. A. Adcock, and W. Mostert, Fragmentation of colliding liquid rims, J. Fluid Mech. 987, A18 (2024).
  45. D. Legendre, A. Merle, and J. Magnaudet, Wake of a spherical bubble or a solid sphere set fixed in a turbulent environment, Phys. Fluids 18, 048102 (2006).
  46. X. Wu, Inflow turbulence generation methods, Annu. Rev. Fluid Mech. 49, 23 (2017).
  47. Y. Chen, K. Djidjeli, and Z.-T. Xie, Freestream turbulence effects on the aerodynamics of an oscillating square cylinder at the resonant frequency, Fluids 7, 329 (2022).
  48. Y. Kim, I. P. Castro, and Z.-T. Xie, Divergence-free turbulence inflow conditions for large-eddy simulations with incompressible flow solvers, Comput. Fluids 84, 56 (2013).
  49. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, UK, 2000).
  50. 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).
  51. Y. Ling and T. Mahmood, Detailed numerical investigation of the drop aerobreakup in the bag breakup regime, J. Fluid Mech. 972, A28 (2023).
  52. W. Mostert, S. Popinet, and L. Deike, High-resolution direct simulation of deep water breaking waves: Transition to turbulence, bubbles and droplets production, J. Fluid Mech. 942, A27 (2022).
  53. I. Cannon, G. Soligo, and M. E. Rosti, Morphology of clean and surfactant-laden droplets in homogeneous isotropic turbulence, J. Fluid Mech. 987, A31 (2024).
  54. H. Zhao, H.-F. Liu, W.-F. Li, and J.-L. Xu, Morphological classification of low viscosity drop bag breakup in a continuous air jet stream, Phys. Fluids 22, 114103 (2010).
  55. Y. Wang, A. Sierakowski, and A. Prosperetti, Rotational dynamics of a particle in a turbulent stream, Phys. Rev. Fluids 4, 064304 (2019).
  56. X. Xu, Y. Qi, S. Zhong, S. Tan, Q. Wu, and R. Ni, Intermittency of bubble deformation in turbulence, Phys. Rev. Lett. 133, 214001 (2024).
  57. L. Botto and A. Prosperetti, A fully resolved numerical simulation of turbulent flow past one or several spherical particles, Phys. Fluids 24, 013303 (2012).
  58. M. Jain, R. S. Prakash, G. Tomar, and R. V. Ravikrishna, Secondary breakup of a drop at moderate Weber numbers, Proc. R. Soc. A 471, 20140930 (2015).
  59. C. Peng and L.-P. Wang, Mechanisms and models of particle drag enhancements in turbulent environments, J. Fluid Mech. 959, A30 (2023).
  60. E. Rind and I. P. Castro, On the effects of free-stream turbulence on axisymmetric disc wakes, Exp. Fluids 53, 301 (2012).
  61. F. Jiang, L. Zhao, H. I. Andersson, K. Gustavsson, A. Pumir, and B. Mehlig, Inertial torque on a small spheroid in a stationary uniform flow, Phys. Rev. Fluids 6, 024302 (2021).
  62. I. Roa, M.-C. Renoult, C. Dumouchel, and J. C. Brändle de Motta, Droplet oscillations in a turbulent flow, Front. Phys. 11, 1173521 (2023).
  63. A. Prosperetti, Free oscillations of drops and bubbles: The initial-value problem, J. Fluid Mech. 100, 333 (1980).
  64. Y. Troitskaya, A. Kandaurov, A. Zotova, E. V. Korsukova, and D. Sergeev, Statistical characteristics of droplets formed due to the “bag breakup” fragmentation event at the interface between water and high-speed air flow, J. Phys. Oceanogr. 53, 2331 (2023).
  65. Z. Cui, J. Qiu, X. Jiang, and L. Zhao, Effect of fluid inertial torque on the rotational and orientational dynamics of tiny spheroidal particles in turbulent channel flow, J. Fluid Mech. 977, A20 (2023).
  66. A. Vela-Martín and M. Avila, Deformation of drops by outer eddies in turbulence, J. Fluid Mech. 929, A38 (2021).
  67. A. U. M. Masuk, A. K. Salibindla, and R. Ni, Simultaneous measurements of deforming Hinze-scale bubbles with surrounding turbulence, J. Fluid Mech. 910, A21 (2021).
  68. A. U. M. Masuk, A. K. Salibindla, and R. Ni, The orientational dynamics of deformable finite-sized bubbles in turbulence, J. Fluid Mech. 915, A79 (2021).
  69. R. Ouchene, Numerical simulation and modeling of the hydrodynamic forces and torque acting on individual oblate spheroids, Phys. Fluids 32, 073303 (2020).
  70. G. A. Voth and A. Soldati, Anisotropic particles in turbulence, Annu. Rev. Fluid Mech. 49, 249 (2017).
  71. F. Mangani, G. Soligo, A. Roccon, and A. Soldati, Influence of density and viscosity on deformation, breakage, and coalescence of bubbles in turbulence, Phys. Rev. Fluids 7, 053601 (2022).
  72. Y. Qi, X. Xu, S. Tan, S. Zhong, Q. Wu, and R. Ni, Breaking bubbles across multiple time scales in turbulence, J. Fluid Mech. 983, A24 (2024).
  73. A. Vledouts, J. Quinard, N. Vandenberghe, and E. Villermaux, Explosive fragmentation of liquid shells, J. Fluid Mech. 788, 246 (2016).
  74. B. Néel, H. Lhuissier, and E. Villermaux, ‘Fines’ from the collision of liquid rims, J. Fluid Mech. 893, A16 (2020).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation