2013
DOI: 10.1103/physreve.87.043013
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Hydrodynamics of Leidenfrost droplets in one-component fluids

Abstract: Using the dynamic van der Waals theory [Phys. Rev. E 75, 036304 (2007)], we numerically investigate the hydrodynamics of Leidenfrost droplets under gravity in two dimensions. Some recent theoretical predictions and experimental observations are confirmed in our simulations. A Leidenfrost droplet larger than a critical size is shown to be unstable and break up into smaller droplets due to the Rayleigh-Taylor instability of the bottom surface of the droplet. Our simulations demonstrate that an evaporating Leiden… Show more

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Cited by 24 publications
(21 citation statements)
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“…When theoretically deriving T L , one needs to determine the vapor thickness profile. In the case of a gently deposited droplet, this can be accomplished since the shape of the droplet is fixed except for the bottom surface, which reduces the problem to a lubrication flow of vapor in the gap between the substrate and the free surface [15][16][17][18][19][20]. For impacting droplets on an unheated surface at high Weber number We ≡ ρU 2 D 0 =σ (here, D 0 is the equivalent diameter of the droplet and ρ and σ are the density and the surface tension of the liquid, respectively), it is known that the neck around the dimple beneath the impacting droplet rams the surface.…”
mentioning
confidence: 99%
“…When theoretically deriving T L , one needs to determine the vapor thickness profile. In the case of a gently deposited droplet, this can be accomplished since the shape of the droplet is fixed except for the bottom surface, which reduces the problem to a lubrication flow of vapor in the gap between the substrate and the free surface [15][16][17][18][19][20]. For impacting droplets on an unheated surface at high Weber number We ≡ ρU 2 D 0 =σ (here, D 0 is the equivalent diameter of the droplet and ρ and σ are the density and the surface tension of the liquid, respectively), it is known that the neck around the dimple beneath the impacting droplet rams the surface.…”
mentioning
confidence: 99%
“…However, the initial size of the Leidenfrost droplet is limited. Indeed, for large drops, a Rayleigh-Taylor instability arises at the bottom of the drop 18,25 . For water, the instability occurs when the droplet radius exceeds R c ' 9.6 mm 18 .…”
Section: Liquid Droplet Wrapped In a Monolayer Of Grainsmentioning
confidence: 99%
“…The dielectric discontinuity across the interface leads to induced charges which repel ions from the interface [14,[38][39][40][41]. This is different from a conductor which leads to an ionelectrode attraction [42].…”
Section: Theorymentioning
confidence: 99%