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Related papers: Marangoni instability in a viscoelastic binary fil…

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A soft, thin, elastomeric micro-cylinder is induced to roll on a solid substrate by releasing small quantity of a solvent. The solvent swells the cylinder asymmetrically at one side and evaporates out of it from where it is exposed to…

Soft Condensed Matter · Physics 2015-10-21 Subrata Mondal , Animangsu Ghatak

We investigate theoretically the bifurcation scenario for colloidal suspensions subject to a vertical temperature gradient taking into account the effect of sedimentation. In contrast to molecular binary mixtures, here the thermal…

Pattern Formation and Solitons · Physics 2015-05-13 A. Ryskin , H. Pleiner

We study the effect of insoluble surfactants on the wave dynamics of vertically-falling liquid films. We use three-dimensional numerical simulations and employ a hybrid interface-tracking/level-set method, taking into account Marangoni…

The classical Kapitza instability of a gravity-driven falling film requires finite inertia to operate. We show that a surface-mode instability can arise in the complete absence of inertia when the film possesses a continuous viscosity…

Fluid Dynamics · Physics 2026-04-10 Shravya Gundavarapu , Darish Jeswin Dhas , Anubhab Roy

In this paper we study the dynamics of a layer of incompressible viscous fluid bounded below by a rigid boundary and above by a free boundary, in the presence of a uniform gravitational field. We assume that a mass of surfactant is present…

Analysis of PDEs · Mathematics 2017-02-09 Ian Tice , Lei Wu

Evaporating droplets are known to show complex motion that has conventionally been explained by the Marangoni effect (flow induced by the gradient of surface tension). Here, we show that the droplet motion can be induced even in the absence…

Soft Condensed Matter · Physics 2017-07-28 Xingkun Man , Masao Doi

The current work analyses the onset characteristics of buoyancy and thermocapillary-driven instabilities in two-layer binary fluid systems near their upper critical solution temperature (UCST). The dynamics of the binary fluids are modelled…

Fluid Dynamics · Physics 2026-03-04 Saumyakanta Mishra , S. V. Diwakar

We consider a thin horizontal layer of a non-magnetic electrolyte containing a bulk solution of salt and carrying an electric current. The layer is bounded by two deformable free surfaces loaded with an insoluble surfactant and is placed in…

Fluid Dynamics · Physics 2023-10-10 Andrey Pototsky , Sergey A. Suslov

We present a computational investigation of thin viscoelastic films and drops on a solid substrate subject to the van der Waals interaction force, in two spatial dimensions. The governing equations are obtained within a long-wave…

Fluid Dynamics · Physics 2016-10-11 Valeria Barra , Shahriar Afkhami , Lou Kondic

Spin coating of thin films of viscous liquids on a rotating substrate is a core technological component of semiconductor microchip fabrication. The thinning dynamics is influenced by many physical processes. Specifically temperature…

This study examines the stability of a flexible material interface between two fluids of the same viscosity in interaction with a free surface. When the layers are motionless, we provide evidence for the onset of a novel instability by…

Fluid Dynamics · Physics 2024-11-05 Joris Labarbe

Purpose: To determine whether evaporation, tangential flow, or a combination of the two cause tear film breakup in a variety of instances; to estimate related breakup parameters that cannot be measured in breakup during subject trials; and…

Fluid Dynamics · Physics 2022-11-10 Rayanne A. Luke , Richard J. Braun , Carolyn G. Begley

It is known that an axisymmetric viscous film flowing down the outside of a thin vertical fiber becomes unstable to interfacial perturbations. We present an experimental study using fluids with different densities, surface tensions and…

Fluid Dynamics · Physics 2009-11-13 Linda B. Smolka , Justin North , Bree K. Guerra

Marangoni propulsion is a form of locomotion wherein an asymmetric release of surfactant by a body located at the surface of a liquid leads to its directed motion. We present in this paper a mathematical model for Marangoni propulsion in…

Fluid Dynamics · Physics 2012-12-06 Eric Lauga , Anthony M. J. Davis

The paper focuses on a model describing the spreading of an insoluble surfactant on a thin viscous film with capillary effects taken into account. The governing equation for the film height is degenerate parabolic of fourth order and…

Analysis of PDEs · Mathematics 2012-12-27 Joachim Escher , Matthieu Hillairet , Philippe Laurencot , Christoph Walker

We investigate the convective stability of a thin, infinite fluid layer with a rectangular cross-section, subject to imposed heat fluxes at the top and bottom and fixed temperature along the vertical sides. The instability threshold depends…

We show that the electric field driven surface instability of visco-elastic films has two distinct regimes: (1) The visco-elastic films behaving like a liquid display long wavelengths governed by applied voltage and surface tension,…

Soft Condensed Matter · Physics 2015-05-13 N. Arun , Ashutosh Sharma , Partho S. G. Pattader , Indrani Banerjee , Hemant M. Dixit , K. S. Narayan

Recent experimental observations have demonstrated interesting instability phenomenon during thermal drawing of microstructured glass/polymer fibers, and these observations motivate us to examine surface-tension-driven instabilities in…

Fluid Dynamics · Physics 2011-08-12 D. S. Deng , J. -C. Nave , X. Liang , S. G. Johnson , Y. Fink

Thin-film flows of viscoelastic fluids are encountered in various industrial and biological settings. The understanding of thin viscous film flows in Newtonian fluids is very well developed, which for a large part is due to the so-called…

Fluid Dynamics · Physics 2021-12-24 Charu Datt , Minkush Kansal , Jacco H. Snoeijer

A linear stability analysis of a two-layer plane Couette flow of two immiscible fluid layers with different densities, viscosities and thicknesses, bounded by two infinite parallel plates moving at a constant relative velocity to each…

Adaptation and Self-Organizing Systems · Physics 2019-02-20 Alexander F. Frenkel , David Halpern , Adam J. Schweiger