The Boundary Tension at Water-Organic Liquid Interfaces

Donahue, D. Joseph; Bartell, F. E.

doi:10.1021/j150496a016

Cited by 286 publications

(180 citation statements)

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“…Actually, the thickness of the droplet is calculated to be around 1 mm considering the surface tension and density difference. 40 The hydrodynamic flow may affect the motion of the droplet, but we only consider the effect of the tension gradient at the droplet as a driving force in the present framework for simplicity. In our model, the x-y plane corresponds to the water surface, which we assume is confined to a domain Ω.…”

Section: Mathematical Modelmentioning

confidence: 99%

Mathematical model for self-propelled droplets driven by interfacial tension

Nagai

Tachibana

Tobe

et al. 2016

The Journal of Chemical Physics

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Articles you may be interested inNumerical study on the effects of non-dimensional parameters on drop-on-demand droplet formation dynamics and printability range in the up-scaled model Phys. Fluids 24, 082103 (2012) We propose a model for the spontaneous motion of a droplet induced by inhomogeneity in interfacial tension. The model is derived from a variation of the Lagrangian of the system and we use a time-discretized Morse flow scheme to perform its numerical simulations. Our model can naturally simulate the dynamics of a single droplet, as well as that of multiple droplets, where the volume of each droplet is conserved. We reproduced the ballistic motion and fission of a droplet, and the collision of two droplets was also examined numerically. C 2016 AIP Publishing LLC. [http://dx

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Section: Mathematical Modelmentioning

confidence: 99%

Mathematical model for self-propelled droplets driven by interfacial tension

Nagai

Tachibana

Tobe

et al. 2016

The Journal of Chemical Physics

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“…The interfacial tensions between water and typical organic liquids are normally several millijoules per square-meter [43] , and so γ ∼ 10 -2 J m −2 . The molecular volume v 0 ∼ 10 −27 m 3 may be estimated from typical molecular dimensions of 10 Å, and as noted earlier, the grid spacing l ∼ 10 -7 m. Finally, the energy parameter ǫ driving phase separation [see Eq.…”

Section: Resultsmentioning

confidence: 99%

Diatom Structures Templated by Phase-Separated Fluids

Lenoci

Camp²

2007

Langmuir

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An experimentally motivated model is proposed for the formation of fluid-phase templates corresponding to the porous silica skeletons of diatoms, single-cell organisms found in marine and freshwater environments. It is shown that phase-separation pro-cesses on a planar surface may give rise to a quasi-static mold which could direct the deposition of condensing silica to form complex arrays of pores. Calculations show that appropriate fluid templates can be generated for a wide variety of diatom species. The results could be of some biological relevance, but the most significant advance may be the identification of a synthetic strategy for generating complex porous architectures from simple, amorphous materials.

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“…Nevertheless, this phenomenon creates the interfacial tension between aqueous and organic phase in a reaction mixture. [36,37] Notably, poly(MMA-co-DVB) demonstrated the highest surface area of 554 m 2 /g at 200% CLD. As a result, this polymer was used as a core polymer in coreshell approach.…”

Section: Effect Of Crosslinkersmentioning

confidence: 99%

Design and synthesis of cauliflower-shaped hydroxyl functionalized core-shell polymer

Mane

Ponrathnam

Chavan

2015

Designed Monomers and Polymers

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Conventional crosslinked polymers and homopolymers both have their own limitations. As a result, core-shell polymer was synthesized to obtain cauliflower-shaped and highly hydroxyl functionalized polymer. For the core, acrylate-based copolymers were synthesized by varying crosslinkers and porogens at different crosslink density. Owing to high surface area (554 m 2 /g), poly(MMA-co-DVB) was used as a core and low-molecular weight (24,600 g/mol) poly(GMA) was used as a shell in core-shell approach. Average particle sizes of the core polymers were in the range of 15-75 μm. In order to evaluate reactivity efficiency of core-shell polymer, hydroxyl content was evaluated with a value of 3.97 mmol/ g. Importantly, hydroxyl content demonstrated the successful increase in reactive sites of the core-shell polymer over conventional crosslinked hydroxyl polymer. Notably, synthesized core-shell polymer has more surface area and pore volume which substantially attributes for better polymer efficiency during application. Scanning electron microscopy images revealed the spherical, uniform, and slightly conglomerated properties of core-shell polymer. Due to higher reactivity, insolubility, and more surface area of hydroxyl functionalized core-shell polymer, its use become inevitably essential.

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The Boundary Tension at Water-Organic Liquid Interfaces

Cited by 286 publications

References 1 publication

Mathematical model for self-propelled droplets driven by interfacial tension

Mathematical model for self-propelled droplets driven by interfacial tension

Diatom Structures Templated by Phase-Separated Fluids

Design and synthesis of cauliflower-shaped hydroxyl functionalized core-shell polymer

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