Drop splashing after impact onto immiscible pools of different viscosities

Fudge, Ben D.; Cimpeanu, Radu; Antkowiak, Arnaud; Castrejón‐Pita, J. R.; Castrejón‐Pita, Alfonso A.

doi:10.1016/j.jcis.2023.03.040

Cited by 15 publications

(2 citation statements)

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“…Since this early-time deceleration is geometry induced, Fudge et al. (2023) further hypothesised that the magnitude of the velocity gradient remains largely unchanged at different flow configurations so that the early-time dissipation rate is proportional to the liquid viscosity , although this is not directly verified in the present work. As the liquid sheet extends further upwards, the interface curvature at the lamella foot decreases and capillary deceleration becomes much weaker, hence the decrease in the dissipation rate .…”

Section: Transverse Liquid Ligamentsmentioning

confidence: 59%

“…(2016) for drops impacting a smooth surface (see their figure 4) and Fudge et al. (2023) for drops impacting a liquid pool (see their figure 8 b ). As time elapses, the bordering rim takes shape, with its neck featuring relatively high concentration of , whereas the dissipation at the lamella foot weakens and eventually becomes negligible by (figure 10 d ), matching the saturation trend shown in figure 19 of Wang & Bourouiba (2022) for the dissipation deficit.…”

Section: Transverse Liquid Ligamentsmentioning

confidence: 95%

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Fragmentation of colliding liquid rims

Tang,

Adcock,

Mostert

2024

J. Fluid Mech.

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We present direct numerical simulations of the splashing process between two cylindrical liquid rims. This belongs to a class of impact and collision problems with a wide range of applications in science and engineering, and motivated here by splashing of breaking ocean waves. Interfacial perturbations with a truncated white noise frequency profile are introduced to the rims before their collision, whose subsequent morphological development is simulated by solving the two-phase incompressible Navier–Stokes equation with the adaptive mesh refinement technique, within the Basilisk software environment. We first derive analytical solutions predicting the unsteady interfacial and velocity profiles of the expanding sheet forming between the two rims, and develop scaling laws for the evolution of the lamella rim under capillary deceleration. We then analyse the formation and growth of transverse ligaments ejected from the lamella rims, which we find to originate from the initial corrugated geometry of the perturbed rim surface. Novel scaling models are proposed for predicting the decay of the ligament number density due to the ongoing ligament merging phenomenon, and found to agree well with the numerical results presented here. The role of the mechanism in breaking waves is discussed further and necessary next steps in the problem are identified.

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Section: Transverse Liquid Ligamentsmentioning

confidence: 59%