Stresses in thin sheets at fluid interfaces

Kumar, Dileep; Russell, Thomas P.; Davidovitch, Benny; Menon, Narayanan

doi:10.1038/s41563-020-0640-9

Cited by 24 publications

(31 citation statements)

References 30 publications

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“…While the elasticity of the interfacially frozen crystal does not play a significant role for the present results, its role in the immediate vicinity of T SE , where γ ow is ultralow, may be more prominent, giving rise to important fundamental questions. 44,45 Future studies, for a wider range of liquids, surfactants, and capillaries, should allow examining the role of such transitions in other systems in nature and technology. The tremendous sensitivity of the observed transitions to tiny concentrations of very specific surface-active dopants, such as the C 16 OH, allows these effects to be fine-tuned to specific applications, where the observed temperature dependence of capillarity and meniscus curvature may either pose a major nuisance and have to be eliminated or can be used as a technological advantage.…”

mentioning

confidence: 99%

Anomalous Temperature-Controlled Concave–Convex Switching of Curved Oil–Water Menisci

Shool

Бутенко

Liber

et al. 2021

J. Phys. Chem. Lett.

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While the curvature of the classical liquid surfaces exhibits only a weak temperature dependence, we demonstrate here a reversible temperature-tunable concave–convex shape switching in capillary-contained, surfactant-decorated, oil–water interfaces. The observed switching gives rise to a concave–convex shape transition, which takes place as a function of the width of the containing capillary. This apparent violation of Young’s equation results from a hitherto-unreported sharp reversible hydrophobic–hydrophilic transition of the glass capillary walls. The transition is driven by the interfacial freezing effect, which controls the balance between the competing surfactants’ adsorption on, and consequent hydrophobization of, the capillary walls and their incorporation into the interfacially frozen monolayer. Since capillary wetting by surfactant solutions is fundamental for a wide range of technologies and natural phenomena, the present observations have important implications in many fields, from fluid engineering to biology, and beyond.

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mentioning

confidence: 99%

Anomalous Temperature-Controlled Concave–Convex Switching of Curved Oil–Water Menisci

Shool

Бутенко

Liber

et al. 2021

J. Phys. Chem. Lett.

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“…Despite their archetypal beauty, more than two centuries since their discovery, unexpectedly, little is known about the structural properties of these floating leaves. In recent years, however, important progress has been made in understanding the geometry and deformation of floating sheets (4)(5)(6)(7)(8)(9)(10)(11)(12). Here, we draw on these developments to elucidate the mechanical functionality inherent in the geometric form of the leaves of the giant Amazonian waterlily.…”

Section: Introductionmentioning

confidence: 99%

Gigantic floating leaves occupy a large surface area at an economical material cost

et al. 2022

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The giant Amazonian waterlily (genus Victoria ) produces the largest floating leaves in the plant kingdom. The leaves’ notable vasculature has inspired artists, engineers, and architects for centuries. Despite the aesthetic appeal and scale of this botanical enigma, little is known about the mechanics of these extraordinary leaves. For example, how do these leaves achieve gigantic proportions? We show that the geometric form of the leaf is structurally more efficient than those of other smaller species of waterlily. In particular, the spatially varying thickness and regular branching of the primary veins ensures the structural integrity necessary for extensive coverage of the water surface, enabling optimal light capture despite a relatively low leaf biomass. Leaf gigantism in waterlilies may have been driven by selection pressures favoring a large surface area at an economical material cost, for outcompeting other plants in fast-drying ephemeral pools.

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“…At the conceptual level, despite the profound similarity between Newtonian viscous dynamics and Hookean solid elasticity, often termed the Stokes-Rayleigh analogy (SRA) [8], there exist also pivotal differences that complicate common attempts to draw parallels between the well-studied deformations of elastic sheets at mechanical equilibrium and a quasistatic shape evolution of viscous films. These differences stem from the existence of a preferred ("target") metric in elastic sheets [9] and its absence in liquid films, yielding distinct impacts of surface tension [10] and Gaussian curvature [5] on the respective stress tensors.…”

Section: Introductionmentioning

confidence: 99%

How viscous bubbles collapse: topological and symmetry-breaking instabilities in curvature-driven hydrodynamics

Davidovitch¹,

Klein²

2022

Preprint

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The duality between the mechanical equilibrium of elastic bodies and non-inertial flow in viscous liquids has been a guiding principle in decades of research. However, this duality is broken whenever the Gaussian curvature of viscous films evolves rapidly in time. In such a case the film evolves through a non-inertial yet geometrically nonlinear surface dynamics, which has remained largely unexplored. We reveal the driver of such dynamics as the flow of currents of Gaussian curvature of the evolving surface, rather than the existence of an energetically favored target metric, as in the elastic analogue. Focusing on the prototypical example of a bubble collapsing after rapid depressurization, we show that the spherically-shaped viscous film evolves via a topological instability, whose elastic analogue is forbidden by the existence of an energy barrier. The topological transition brings about compression within the film, triggering another, symmetry breaking instability and radial wrinkles that grow in amplitude and invade the flattening film. Building on an analogy between surface currents of Gaussian curvature and polarization in electrostatic conductors, we obtain quantitative predictions for the evolution of the flattening film. We propose that this classical dynamics has ramifications in the emerging field of viscous hydrodynamics of strongly correlated electrons in two-dimensional materials.

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Stresses in thin sheets at fluid interfaces

Cited by 24 publications

References 30 publications

Anomalous Temperature-Controlled Concave–Convex Switching of Curved Oil–Water Menisci

Anomalous Temperature-Controlled Concave–Convex Switching of Curved Oil–Water Menisci

Gigantic floating leaves occupy a large surface area at an economical material cost

How viscous bubbles collapse: topological and symmetry-breaking instabilities in curvature-driven hydrodynamics

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