Faraday instability of binary miscible/immiscible fluids with phase field approach

Bestehorn, Michael; Sharma, Deewakar; Borcia, Rodica; Amiroudine, Sakir

doi:10.1103/physrevfluids.6.064002

Cited by 10 publications

(5 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…2019, 2020), Faraday instability (Borcia & Bestehorn 2014; Bestehorn et al. 2021), Rayleigh–Taylor instability (Zanella et al. 2020, 2021), cavitation (Petitpas et al.…”

Section: Introductionunclassified

“…The resulting representation of the molecular interaction has been incorporated into models of various phenomena, such as phase transitions in ferroelectric materials (Ginzburg 1960), spinodal decomposition (Cahn 1961;Lowengrub & Truskinovsky 1998), growth of, and oscillations in, crystals (Collins & Levine 1985;Tang, Carter & Cannon 2006;Heinonen et al 2016;Philippe, Henry & Plapp 2020), solidification of alloys (Stinner, Nestler & Garcke 2004;Nestler, Garcke & Stinner 2005), phase separation in polymer blends (Thiele, Madruga & Frastia 2007;Madruga & Thiele 2009), electrowetting (Lu et al 2007), contact lines (Jacqmin 2000;Pismen & Pomeau 2000;Ding & Spelt 2007;Yue, Zhou & Feng 2010;Yue & Feng 2011;Sibley et al 2014;Ding et al 2017;Borcia et al 2019), contact lines in liquids with surfactants (Zhu et al 2019(Zhu et al , 2020, Faraday instability (Borcia & Bestehorn 2014;Bestehorn et al 2021), Rayleigh-Taylor instability (Zanella et al 2020(Zanella et al , 2021, cavitation (Petitpas et al 2009), nucleation and collapse of bubbles (Magaletti, Marino & Casciola 2015;Magaletti et al 2016;Gallo, Magaletti & Casciola 2018;Gallo et al 2020), capillary condensation (Pomeau 1986;Benilov 2022a), liquid films (Benilov 2020c(Benilov , 2022a, tumor growth (Frigeri, Grasselli & Rocca 2015;<...…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The multicomponent diffuse-interface model and its application to water/air interfaces

Benilov

2023

J. Fluid Mech.

View full text Add to dashboard Cite

Fundamental properties of the multicomponent diffuse-interface model (DIM), such as the maximum entropy principle and conservation laws, are used to explore the basic interfacial dynamics and phase transitions in fluids. Flat interfaces with monotonically changing densities of the components are proved to be stable. A liquid layer in contact with oversaturated but stable vapour is shown to either fully evaporate or eternally expand (depending on the initial perturbation), whereas a liquid in contact with saturated vapour always evaporates. If vapour is bounded by a solid wall with a sufficiently large contact angle, spontaneous condensation occurs in the vapour. The external parameters of the multicomponent DIM – e.g. the Korteweg matrix describing the long-range intermolecular forces – are determined for the water/air combination. The Soret and Dufour effects are shown to be negligible in this case, and the interfacial flow, close to isothermal.

show abstract

“…2019, 2020), Faraday instability (Borcia & Bestehorn 2014; Bestehorn et al. 2021), Rayleigh–Taylor instability (Zanella et al. 2020, 2021), cavitation (Petitpas et al.…”

Section: Introductionunclassified

Section: Introductionmentioning

confidence: 99%

The multicomponent diffuse-interface model and its application to water/air interfaces

Benilov

2023

J. Fluid Mech.

View full text Add to dashboard Cite

show abstract

“…Most of the previous studies consider demixing (or liquid–liquid phase separation) processes in a closed configuration to avoid complications such as the evaporation of the mixture components and their interaction with the ambient condition during the demixing process. However, there are specific studies − where the phase separation of multicomponent mixtures (not essentially in polymeric solutions) happens with one or more components in the mix evaporating during the process.…”

Section: Introductionmentioning

confidence: 99%

On the Impact of Ambient Humidity and Evaporation on Demixing of Binary Mixtures

et al. 2023

View full text Add to dashboard Cite

As per known data, hexane and diethylene glycol monoethyl ether (DGME) are perfectly miscible at temperatures above some 6 °C (critical solution temperature, CST), manifesting a miscibility gap below this temperature. Yet, when deposing hexane−DGME layers or sessile droplets, we unexpectedly observe demixing already at room temperature. As hexane is volatile, one may be tempted to explain this in terms of evaporative cooling. However, apart from some extreme cases, estimations and direct measurements reveal that such cooling cannot be as drastic as to bring the temperature down to CST. Then, we hypothesize that such anomalous demixing could be caused by moisture in the ambient atmosphere. After all, even if hexane is practically immiscible with water, DGME is hygroscopic. To verify this conjecture, a series of experiments were carried out in a chamber with well-controlled temperature and relative humidity (RH), where a layer of the hexane−DGME mixture was observed by reflective shadowgraphy. In this way, we could measure the "apparent" CST as a function of RH, which indeed proves to be higher than 6 °C and tends to the classical value only at vanishing RH. Our picture of the phenomenon is also well backed up by a heuristic model of the ternary mixture (also including water) based on regular-solution and van Laar fits of the known binary-pair properties.

show abstract

“…Numerical investigations of Newtonian Faraday instability using a phase field 0123456789(). : V,-vol model one can find in [14]. Reference [15] studies the stability of a viscous fluid layer covered with an elastic polymer film under external vibration by usage of Floquet's theorem.…”

Section: Introductionmentioning

confidence: 99%

Instabilities and pattern formation in viscoelastic fluids

Schön

Bestehorn

2023

Eur. Phys. J. Spec. Top.

View full text Add to dashboard Cite

Instabilities and pattern formation in viscous fluids have been a major topic of non-linear fluid dynamics for several decades. The study of pattern formation in viscoelastic thin films offers the opportunity to find new fascinating structures that cannot be observed in viscous fluids. Rayleigh–Taylor and Faraday instabilities, such as the resulting patterns in thin films of viscoelastic fluids, are investigated. We use the long-wave approximation and a Karman–Pohlhausen approach to simplify the mass and momentum equations. The viscoelastic stress tensor is calculated applying the linear Maxwell model. Conditions for the Faraday instability have been found using Floquet’s theorem. It is shown that viscoelastic films can exhibit harmonic resonance under external vibration. Moreover, a simulation of the non-linear problem in 2D and 3D is conducted with a finite difference method. Unstable oscillating Rayleigh–Taylor modes occur in the 2D numerical solution. Furthermore, we find that the wavenumber changes with the relaxation time of the fluid. Faraday patterns in viscous films emerge as regular structures of the surface, like squares or hexagons. Numerical simulations of the viscoelastic fluid also show regular structures. However, they collapse into a chaotic stripe-like pattern after a certain time.

show abstract

Faraday instability of binary miscible/immiscible fluids with phase field approach

Cited by 10 publications

References 31 publications

The multicomponent diffuse-interface model and its application to water/air interfaces

The multicomponent diffuse-interface model and its application to water/air interfaces

On the Impact of Ambient Humidity and Evaporation on Demixing of Binary Mixtures

Instabilities and pattern formation in viscoelastic fluids

Contact Info

Product

Resources

About