Gas-cushioned droplet impacts with a thin layer of porous media
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van Dam DB, Le Clerc C (2004) Experimental study of the impact of an ink-jet printed droplet on a solid substrate. Phys Fluids 16(9):3403–3414
Lembach AN, Tan HB, Roisman IV, Gambaryan-Roisman T, Zhang Y, Tropea C, Yarin AL (2010) Drop impact, spreading, splashing, and penetration into electrospun nanofiber mats. Langmuir 26(12):9516–9523
Raza MA, van Swigchem J, Jansen HP, Zandvliet HJW, Poelsema B, Kooij ES (2014) Droplet impact on hydrophobic surfaces with hierarchical roughness. Surf Topogr 2(3):035002
Tran T, Staat HJJ, Susarrey-Arce A, Foertsch TC, van Houselt A, Gardeniers HJGE, Prosperetti A, Lohse D, Sun C (2013) Droplet impact on superheated micro-structured surfaces. Soft Matter 9:3272–3282
Tsai P, van der Veen RCA, van de Raa M, Lohse D (2010) How micropatterns and air pressure affect splashing on surfaces. Langmuir 26(20):16090–16095
Han D, Steckl AJ (2009) Superhydrophobic and oleophobic fibers by coaxial electrospinning. Langmuir 25(16):9454–9462
Srikar R, Gambaryan-Roisman T, Steffes C, Stephan P, Tropea C, Yarin AL (2009) Nanofiber coating of surfaces for intensification of drop or spray impact cooling. Int J Heat Mass Transf 52(25–26):5814–5826
Delbos A, Lorenceau E, Pitois O (2010) Forced impregnation of a capillary tube with drop impact. J Colloid Interface Sci 341(1):171–177
Ding H, Theofanous TG (2012) The inertial regime of drop impact on an anisotropic porous substrate. J Fluid Mech 691:546–567
Maitra T, Antonini C, Tiwari MK, Mularczyk A, Imeri Z, Schoch P, Poulikakos D (2014) Supercooled water drops impacting superhydrophobic textures. Langmuir 30(36):10855–10861
Maitra T, Tiwari MK, Antonini C, Schoch P, Jung S, Eberle P, Poulikakos D (2014) On the nanoengineering of superhydrophobic and impalement resistant surface textures below the freezing temperature. Nano Lett 14(1):172–182
Chandra S, Avedisian CT (1991) On the collision of a droplet with a solid surface. Proc R Soc Lond A 432(1884):13–41
Thoroddsen ST, Etoh TG, Takehara K (2003) Air entrapment under an impacting drop. J Fluid Mech 478:125–134
Thoroddsen ST, Etoh TG, Takehara K, Ootsuka N, Hatsuki Y (2005) The air bubble entrapped under a drop impacting on a solid surface. J Fluid Mech 545:203–212
Driscoll MM, Nagel SR (2011) Ultrafast interference imaging of air in splashing dynamics. Phys Rev Lett 107(15):154502
Liu Y, Tan P, Xu L (2013) Compressible air entrapment in high-speed drop impacts on solid surfaces. J Fluid Mech 716:R9
de Ruiter J, van den Ende D, Mugele F (2015) Air cushioning in droplet impact. II. Experimental characterization of the air film evolution. Phys Fluids 27(1):012105
Tran T, de Maleprade H, Sun C, Lohse D (2013) Air entrainment during impact of droplets on liquid surfaces. J Fluid Mech 726:R6
van der Veen RCA, Tran T, Lohse D, Sun C (2012) Direct measurements of air layer profiles under impacting droplets using high-speed color interferometry. Phys Rev E 85:026315
Dell’Aversana P, Tontodonato V, Carotenuto L (1997) Suppression of coalescence and of wetting: the shape of the interstitial film. Phys Fluids 9(9):2475–2485
Cooker MJ (2012) A theory for the impact of a wave breaking onto a permeable barrier with jet generation. J Eng Math 79:1–12
Iafrati A, Korobkin AA (2005) Self-similar solutions for porous/perforated wedge entry problem. In: Proceedings of the 20th international workshop on water waves and floating bodies, Longyearbyen, Norway, 29 May – 1 June 2005
Hicks PD, Purvis R (2010) Air cushioning and bubble entrapment in three-dimensional droplet impacts. J Fluid Mech 649:135–163
Smith FT, Li L, Wu GX (2003) Air cushioning with a lubrication/inviscid balance. J Fluid Mech 482:291–318
Fitt AD, Howell PD, King JR, Please CP, Schwendeman DW (2002) Multiphase flow in a roll press nip. Eur J Appl Math 13(3):225–259
Knox DJ, Wilson SK, Duffy BR, McKee S (2015) Porous squeeze-film flow. IMA J Appl Math 80(2):376–409
Hicks PD, Purvis R (2011) Air cushioning in droplet impacts with liquid layers and other droplets. Phys Fluids 23(6):062104
Mandre S, Mani M, Brenner MP (2009) Precursors to splashing of liquid droplets on a solid surface. Phys Rev Lett 102(13):134502
Hicks PD, Purvis R (2013) Liquid–solid impacts with compressible gas cushioning. J Fluid Mech 735:120–149
Beavers GS, Joseph DD (1967) Boundary conditions at a naturally permeable wall. J Fluid Mech 30:197–207
Nield DA (2009) The Beavers–Joseph boundary condition and related matters: a historical and critical note. Transp Porous Med 78(3):537–540
Wilson SK (1991) A mathematical model for the initial stages of fluid impact in the presence of a cushioning fluid layer. J Eng Math 25(3):265–285
Bouwhuis W, van der Veen RCA, Tran T, Keij DL, Winkels KG, Peters IR, van der Meer D, Sun C, Snoeijer JH, Lohse D (2012) Maximal air bubble entrainment at liquid-drop impact. Phys Rev Lett 109:264501
Alizadeh A, Bahadur V, Zhong S, Shang W, Li R, Ruud J, Yamada M, Ge L, Dhinojwala A, Sohal M (2012) Temperature dependent droplet impact dynamics on flat and textured surfaces. Appl Phys Lett 100(11):111601
Liu Y, Moevius L, Xu X, Qian T, Yeomans JM, Wang Z (2014) Pancake bouncing on superhydrophobic surfaces. Nat Phys 10:515–519
van der Veen RCA, Hendrix MHW, Tran T, Sun C, Tsai PA, Lohse D (2014) How microstructures affect air film dynamics prior to drop impact. Soft Matter 10:3703–3707
Ellis AS, Smith FT, White AH (2011) Droplet impact onto a rough surface. Q J Mech Appl Math 64(2):107–139
Saffman PG (1971) On the boundary condition at the surface of a porous medium. Stud Appl Math 50:93–101
Hicks PD, Ermanyuk EV, Gavrilov NV, Purvis R (2012) Air trapping at impact of a rigid sphere onto a liquid. J Fluid Mech 695:310–320
Le Bars M, Worster MG (2006) Interfacial conditions between a pure fluid and a porous medium: implications for binary alloy solidification. J Fluid Mech 550:149–173
Nabhani M, El Khlifi M, Bou-saïd B (2010) A numerical simulation of viscous shear effects on porous squeeze-film using the Darcy–Brinkman model. Mech Ind 11:327–337
Jones IP (1973) Low Reynolds number flow past a porous spherical shell. Math Proc Camb Philos Soc 73:231–238
King FW (2009) Hilbert transforms. Encyclopedia of mathematics and its applications, vol 1. Cambridge University Press, Cambridge