Droplet splashing on a thin liquid film

Josserand, Christophe; Zaleski, Stéphane

doi:10.1063/1.1572815

Cited by 345 publications

(311 citation statements)

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“…In addition, previous research [47][48][49] has shown that the spread radius r generally obeys the power law r/D ≈ C √ Ut/D at short times after the impact. The sketch of the definition of the spread radius can be found in Ref.…”

Section: Droplet Splashing On a Thin Liquid Filmmentioning

confidence: 99%

“…Actually, splashing can occur at widely different scales, from the astronomical scale when a comet impacts a planet to the microscopic scale in laboratory experiments [47][48][49]. The splashing of droplets on liquid or solid surfaces is a crucial event in a wide variety of phenomena in natural process and industrial applications, such as a raindrop splashing on the ground, the impact of a fuel droplet on the wall of a combustion chamber, and nanoprinting using the laser induced forward transfer technique.…”

Section: Droplet Splashing On a Thin Liquid Filmmentioning

confidence: 99%

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Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model

2013

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Owing to its conceptual simplicity and computational efficiency, the pseudopotential multiphase lattice Boltzmann (LB) model has attracted significant attention since its emergence. In this work, we aim to extend the pseudopotential LB model to simulate multiphase flows at large density ratio and relatively high Reynolds number. First, based on our recent work [Q. Li, K. H. Luo, and X. J. Li, Phys. Rev. E 86, 016709 (2012)], an improved forcing scheme is proposed for the multiple-relaxation-time pseudopotential LB model in order to achieve thermodynamic consistency and large density ratio in the model. Next, through investigating the effects of the parameter a in the Carnahan-Starling equation of state, we find that the interface thickness is approximately proportional to 1/ √ a. Using a smaller a will lead to a wider interface thickness, which can reduce the spurious currents and enhance the numerical stability of the pseudopotential model at large density ratio. Furthermore, it is found that a lower liquid viscosity can be gained in the pseudopotential model by increasing the kinematic viscosity ratio between the vapor and liquid phases. The improved pseudopotential LB model is numerically validated via the simulations of stationary droplet and droplet oscillation. Using the improved model as well as the above treatments, numerical simulations of droplet splashing on a thin liquid film are conducted at a density ratio in excess of 500 with Reynolds numbers ranging from 40 to 1000. The dynamics of droplet splashing is correctly reproduced and the predicted spread radius is found to obey the power law reported in the literature.

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Section: Droplet Splashing On a Thin Liquid Filmmentioning

confidence: 99%

Section: Droplet Splashing On a Thin Liquid Filmmentioning

confidence: 99%

Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model

2013

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“…The industrial applications are manifold including in particular ship slamming, sloshing and granular flows on chutes [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. There is also a huge number of biomedical applications [21][22][23][24][25][26][27][28][29][30][31], while sports applications are such as in skeleton bobsleigh.…”

Section: Introductionmentioning

confidence: 99%

Fluid–body interactions: clashing, skimming, bouncing

Smith

Wilson

2011

Phil. Trans. R. Soc. A.

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Solid-solid and solid-fluid impacts and bouncing are the concern here. A theoretical study is presented on fluid-body interaction in which the motion of the body and the fluid influence each other nonlinearly. There could also be many bodies involved. The clashing refers to solid-solid impacts arising from fluid-body interaction in a channel, while the skimming refers to another area where a thin body impacts obliquely upon a fluid surface. Bouncing usually then follows in both areas. The main new contribution concerns the influences of thickness and camber which lead to a different and more general form of clashing and hence bouncing.

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“…While the splash from a lowviscosity liquid develops within a few 10 µs of impact, the splash from a silicone oil develops slowly, becoming evident only after most of the liquid drop has fallen and flattened into a thin pancake [24,25]. We use an axisymmetric Volume-of-Fluid (VOF) code to simulate the impact at reduced ambient pressure [26,27,28]. Our results show that a boundary layer, corresponding to a thin region where the radial flow created by impact adjusts to the no-slip condition at the wall, is created by the impact.…”

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confidence: 99%

Impact of a Viscous Liquid Drop

et al. 2010

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We simulate the impact of a viscous liquid drop onto a smooth dry solid surface. As in experiments, when ambient air effects are negligible, impact flattens the falling drop without producing a splash. The no-slip boundary condition at the wall produces a boundary layer inside the liquid. Later, the flattening surface of the drop traces out the boundary layer. As a result, the eventual shape of the drop is a "pancake" of uniform thickness except at the rim, where surface tension effects are significant. The thickness of the pancake is simply the height where the drop surface first collides with the boundary layer.The impact of a liquid drop onto a dry solid surface lies at the heart of many important technological processes [1,2], from the application of a thermal spray [3,4,5,6,7,8,9] to atomization of fuel in a combustion chamber [8,10,11,12]. Recent experiments revealed the splash formed when a low-viscosity liquid, such as water or ethanol, first collides with a dry smooth wall at several m/s owes its existence entirely to the presence of air [13,14,15,16]. These results are motivating new studies on the large-scale deformations created by impact when air effects are absent as well as how a splash forms [17,18,19,20,21,22,23].Here we focus on the impact of a viscous liquid drop when air effects are absent. Recent experiments show that reducing the ambient gas pressure also suppresses the splash of a silicone oil drop. However, the form of the splash is very different. While the splash from a lowviscosity liquid develops within a few 10 µs of impact, the splash from a silicone oil develops slowly, becoming evident only after most of the liquid drop has fallen and flattened into a thin pancake [24,25]. We use an axisymmetric Volume-of-Fluid (VOF) code to simulate the impact at reduced ambient pressure [26,27,28]. Our results show that a boundary layer, corresponding to a thin region where the radial flow created by impact adjusts to the no-slip condition at the wall, is created by the impact. The boundary layer has uniform thickness. As impact nears its end, the drop surface flattens onto the boundary layer, evolving into a pancake of uniform thickness.The Volume-of-Fluid simulation solves the NavierStokes equations, together with constraint of incompressibility, for both the liquid interior and the gas exterior at reduced pressure. Physically appropriate boundary conditions, in particular the Laplace pressure jump across the surface due to surface tension, are enforced [26]. In a typical run, an initially spherical liquid drop with radius a collides with a dry, smooth solid surface at an impact speed U 0 of several m/s. The ambient air density ρ g is kept so small that 2-fold changes in in the value of ρ g have little effect on the liquid dynamics. The bottom surface of the liquid drop is not broken upon impact, which corresponds to maintaining an apparent contact angle of 180 • where the liquid rim meets the wall (Fig. 2a) [29]. We require that the velocity field inside the drop satisfies both the no-flux an...

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Droplet splashing on a thin liquid film

Cited by 345 publications

References 25 publications

Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model

Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model

Fluid–body interactions: clashing, skimming, bouncing

Impact of a Viscous Liquid Drop

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