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The response of Newtonian liquids to small perturbations is usually considered to be fully described by homogeneous transport coefficients like shear and dilatational viscosity. However, the presence of strong density gradients at the…

Soft Condensed Matter · Physics 2023-03-29 Paolo Malgaretti , Ubaldo Bafile , Renzo Vallauri , Pál Jedlovszky , Marcello Sega

The intermittency phenomenon is the occurrence of very high but rare peaks, which despite their rarity influence the asymptotic behaviour of the underlying system. Mathematically this can be characterised with the asymptotics of moments. In…

Probability · Mathematics 2023-04-06 Andrey Dorogovtsev , Alexander Weiß

This fluid dynamics video is an entry for the Gallery of Fluid Motion of the 66th Annual Meeting of the APS-DFD. This work reveals new types of interfacial instabilities that occur during forced-spreading of dielectric films subjected to…

We present the linear theory of two-dimensional incompressible magneto-Rayleigh-Taylor instability in a system composed of a linear elastic (Hookean) layer above a lighter semi-infinite ideal fluid with magnetic fields present, above and…

Fluid Dynamics · Physics 2019-05-01 S. A. Piriz , A. R. Piriz , N. A. Tahir

The Rayleigh capillary instability of a cylindrical interface between two immiscible fluids is one of the most fundamental in fluid dynamics. As Plateau observed from energetic considerations and Rayleigh clarified through hydrodynamics,…

Soft Condensed Matter · Physics 2009-10-30 Thomas R. Powers , Dengfu Zhang , Raymond E. Goldstein , Howard A. Stone

The linear stability of stratified two-phase flows in rectangular ducts is studied numerically. The linear stability analysis takes into account all possible infinitesimal three-dimensional disturbances and is carried out by solution of the…

Fluid Dynamics · Physics 2020-04-09 Alexander Gelfgat , Neima Brauner

The interactions of a hydrophilic surface with water can significantly influence the characteristics of the liquid water interface. In this manuscript, we explore this influence by studying the molecular structure of liquid water at a…

Soft Condensed Matter · Physics 2022-09-19 Sucheol Shin , Adam P. Willard

We prove that every unstable equivariant minimal surface in $\mathbb{R}^n$ produces a maximal representation of a surface group into $\prod_{i=1}^n\textrm{PSL}(2,\mathbb{R})$ together with an unstable minimal surface in the corresponding…

Differential Geometry · Mathematics 2022-06-08 Vladimir Markovic , Nathaniel Sagman , Peter Smillie

Regularizing effects of surface tension are studied for interfacial waves between a two-dimensional, infinitely-deep and irrotational flow of water and vacuum. The water wave problem under the influence of surface tension is formulated as a…

Analysis of PDEs · Mathematics 2012-10-02 Vera Mikyoung Hur

Interfacial instability would be aroused on a spherical liquid droplet when it is subject to external vertical vibration. In this paper, a linear analysis was conducted on this instability problem. The polar-angle dependent acceleration in…

Fluid Dynamics · Physics 2022-03-23 Yikai Li , Kun Wu , Dehua Liu , Ru Xi

We consider a carpet of self-propelled particles at the liquid-gas interface of a liquid film on a solid substrate. The particles excert an excess pressure on the interface and also move along the interface while the swimming direction…

Soft Condensed Matter · Physics 2015-06-22 Andrey Pototsky , Uwe Thiele , Holger Stark

The growth of interfacial instabilities during fluid displacements can be driven by gradients in pressure, viscosity and surface tension, and by applying external fields. Since displacements of non-Newtonian fluids such as polymer…

Soft Condensed Matter · Physics 2024-07-02 Vaibhav Raj Singh Parmar , Ranjini Bandyopadhyay

In this paper the motion of two-phase, incompressible, viscous fluids with surface tension is investigated. Three cases are considered: (1) the case of heat-conducting fluids, (2) the case of isothermal fluids, and (3) the case of Stokes…

Analysis of PDEs · Mathematics 2016-12-19 Gieri Simonett , Mathias Wilke

Instabilities of fluid-fluid interfaces are ubiquitous in passive soft matter. Adding activity to the interface or either fluid can dramatically change the stability of the interface. Using experiment and theory, we investigate the…

Soft Condensed Matter · Physics 2026-02-04 Bennett C. Sessa , Federico Cao , Robert A. Pelcovits , Thomas R. Powers , Guillaume Duclos

Two superposed liquid layers display a variety of convective phenomena that are inaccessible in the traditional system where the upper layer is a gas. We consider several pairs of immiscible liquids. Once the liquids have been selected, the…

patt-sol · Physics 2009-10-31 Anne Juel , John M. Burgess , W. D. McCormick , J. B. Swift , Harry L. Swinney

Splashing occurs when a liquid drop hits a dry solid surface at high velocity. This paper reports experimental studies of how the splash depends on the roughness and the texture of the surfaces as well as the viscosity of the liquid. For…

Fluid Dynamics · Physics 2007-06-13 Lei Xu

Dielectric elastomers have recently been proposed for various biologically-relevant applications, in which they may operate in fluidic environments where surface tension effects may have a significant effect on their stability and…

Soft Condensed Matter · Physics 2016-11-28 Saman Seifi , Qiming Wang , Harold S. Park

The effect of strong anisotropy on the Fermi line of a system of correlated electrons is studied in two space dimensions, using renormalization group techniques. Inflection points change the scaling exponents of the couplings, enhancing the…

Strongly Correlated Electrons · Physics 2009-10-30 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

We study the effects of externally imposed shear and buoyancy driven flows on the stability of a solid-liquid interface. By reanalyzing the data of Gilpin \emph{et al.} [\emph{J. Fluid Mech.}, {\bf 99}(3), 619 (1980)] we show that the…

Fluid Dynamics · Physics 2020-07-06 Srikanth Toppaladoddi , John S. Wettlaufer

We comment on the macroscopic model for surface plasmons of H.-Y. Deng [New J. Phys. 21 (2019) 043055; arXiv:1712.06101] and a claim, based on energy conversion from charges to the electric field, that surface plasmons on metallic surfaces…

Optics · Physics 2020-05-11 Gino Wegner , Carsten Henkel