Stability of a liquid bridge under vibration

Benilov, E. S.

doi:10.1103/physreve.93.063118

Cited by 11 publications

(7 citation statements)

References 37 publications

(48 reference statements)

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“…Notably, the action of vibration delays the emergence of the critical event of drop sinkage similar to delaying of film rupture (Sterman-Cohen et al. 2017) or delaying of liquid bridge breaking (Benilov 2016).…”

Section: Vertical Vibration Helps Liquid Drops To Stay Afloatmentioning

confidence: 99%

Equilibrium shapes and floatability of static and vertically vibrated heavy liquid drops on the surface of a lighter fluid

2021

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Section: Vertical Vibration Helps Liquid Drops To Stay Afloatmentioning

confidence: 99%

Equilibrium shapes and floatability of static and vertically vibrated heavy liquid drops on the surface of a lighter fluid

2021

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“…Most importantly, frozen waves in the problem at hand can be found analyticallywhich is incomparably simpler than dealing with the general perturbations (16). For the same reason, this kind of stability analysis is often used in fluid mechanics, in particular, for liquid bridges (for example, [14,15]).…”

Section: The Stability Analysismentioning

confidence: 99%

The Enskog–Vlasov equation: a kinetic model describing gas, liquid, and solid

Benilov¹,

Benilov²

2019

J. Stat. Mech.

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The Enskog-Vlasov (EV) equation is a semi-empiric kinetic model describing gas-liquid phase transitions. In the framework of the EV equation, these correspond to an instability with respect to infinitely long perturbations, developing in a gas state when the temperature drops below (or density rises above) a certain threshold. In this paper, we show that the EV equation describes one more instability, with respect to perturbations with a finite wavelength and occurring at a higher density. This instability corresponds to fluid-solid phase transition and the perturbations' wavelength is essentially the characteristic scale of the emerging crystal structure. Thus, even though the EV model does not describe the fundamental physics of the solid state, it can 'mimic' it-and, thus, be used in applications involving both evaporation and solidification of liquids. Our results also predict to which extent a pure fluid can be overcooled before it definitely turns into a solid.

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“…Since frozen waves are steady, we can search for them using the steady-state reduction (15) of the full EV equation. To do so, let…”

Section: The Stability Analysismentioning

confidence: 99%

The Enskog--Vlasov equaton: A kinetic model describing gas, liquid, and solid

Benilov,

Benilov

2018

Preprint

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The Enskog-Vlasov (EV) equation is a semi-empiric kinetic model describing gas-liquid phase transitions. In the framework of the EV equation, these correspond to an instability with respect to infinitely long perturbations, developing in a gas state when the temperature drops below (or density rises above) a certain threshold. In this paper, we show that the EV equation describes one more instability, with respect to perturbations with a finite wavelength and occurring at a higher density. This instability corresponds to fluid-solid phase transition and the perturbations' wavelength is essentially the characteristic scale of the emerging crystal structure. Thus, even though the EV model does not describe the fundamental physics of the solid state, it can 'mimic' it -and, thus, be used in applications involving both evaporation and solidification of liquids. Our results also predict to which extent a pure fluid can be overcooled before it definitely turns into a solid.

show abstract

Stability of a liquid bridge under vibration

Cited by 11 publications

References 37 publications

Equilibrium shapes and floatability of static and vertically vibrated heavy liquid drops on the surface of a lighter fluid

Equilibrium shapes and floatability of static and vertically vibrated heavy liquid drops on the surface of a lighter fluid

The Enskog–Vlasov equation: a kinetic model describing gas, liquid, and solid

The Enskog--Vlasov equaton: A kinetic model describing gas, liquid, and solid

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