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We consider a colony of point-like self-propelled surfactant particles (swimmers) without direct interactions that cover a thin liquid layer on a solid support. Although the particles predominantly swim normal to the free film surface,…

Soft Condensed Matter · Physics 2018-07-24 Andrey Pototsky , Uwe Thiele , Holger Stark

A confined incompressible elastic film does not deform uniformly when subjected to adhesive interfacial stresses but with undulations which have a characteristic wavelength scaling linearly with the thickness of the film. In the classical…

Soft Condensed Matter · Physics 2009-11-11 Animangsu Ghatak

We consider the dynamics of a thin liquid film in the attractive substrate potential and under the action of a longitudinal or a tilted vibration. Using a multiscale technique we split the film motion into the oscillatory and the averaged…

Fluid Dynamics · Physics 2015-05-13 S. Shklyaev , A. A. Alabuzhev , M. Khenner

We consider a cylindrical film of fluid adhering to a rigid cylinder of fixed radius. The main result is to give the critical (maximum) length for which such a film of given thickness can be stable. The problem is considered both when the…

Analysis of PDEs · Mathematics 2016-09-07 John McCuan

We study spinodal phase separation in unstable thin liquid films on chemically disordered substrates via simulations of the thin-film equation. The disorder is characterized by immobile patches of varying size and Hamaker constant. The…

Soft Condensed Matter · Physics 2019-03-27 Manish Vashishtha , Prabhat K. Jaiswal , Rajesh Khanna , Sanjay Puri , Ashutosh Sharma

We consider the dynamic wetting and dewetting processes of films and droplets of complex liquids on planar surfaces, focusing on the case of colloidal suspensions, where the particle interactions can be sufficiently attractive to cause…

Fluid Dynamics · Physics 2024-11-20 J. Zhang , D. N. Sibley , D. Tseluiko , A. J. Archer

The dynamics of a thin liquid film on the underside of a curved cylindrical substrate is studied. The evolution of the liquid layer is investigated as the film thickness and the radius of curvature of the substrate are varied. A…

We study contact line induced instabilities for a thin film of fluid under destabilizing gravitational force in three dimensional setting. In the previous work (Phys. Fluids, {\bf 22}, 052105 (2010)), we considered two dimensional flow,…

Fluid Dynamics · Physics 2015-03-19 T. -S. Lin , L. Kondic , A. Filippov

We consider the gravity-driven flow of a perfect dielectric, viscous, thin liquid film, wetting a flat substrate inclined at a non-zero angle to the horizontal. The dynamics of the thin film is influenced by an electric field which is set…

Fluid Dynamics · Physics 2019-08-30 Ruben J Tomlin , Radu Cimpeanu , Demetrios T Papageorgiou

The stability of liquid film flows are important in many industrial applications. In the dip-coating process, a liquid film is formed over a substrate extracted at a constant speed from a liquid bath. We studied the linear stability of this…

Fluid Dynamics · Physics 2024-12-04 Fabio Pino , Miguel Alfonso Mendez , Benoit Scheid

We consider the evaporation of a thin liquid layer which consists of a binary mixture of volatile liquids. The mixture is on top of a heated substrate and in contact with the gas phase that consists of the same vapour as the binary mixture.…

Fluid Dynamics · Physics 2020-11-04 R. K. Nazareth , G. Karapetsas , K. Sefiane , O. Matar , P. Valluri

Paints and coatings often feature interfacial defects due to disturbances during the deposition process which, if they persist until solidification, worsen the product quality. In this article, we investigate the stability of a thin liquid…

Fluid Dynamics · Physics 2023-07-26 David Barreiro-Villaverde , Anne Gosset , Marcos Lema , Miguel Alfonso Mendez

When do droplets merge and when do they bounce? Over the last 10 years, advances in experimental techniques, such as high-speed cameras, have enabled us to make important discoveries on how the dynamics of thin gas films can influence the…

Fluid Dynamics · Physics 2023-12-14 Alexis Tzelilis

We consider here the effects of inertia on the instability of a flat liquid film under the effects of capillary and intermolecular forces (van der Waals interaction). Firstly, we perform the linear stability analysis within the long wave…

Fluid Dynamics · Physics 2016-01-20 A. G. González , J. A. Diez , M. Sellier

Thin film dynamics and associated instability mechanisms have triggered a wide range of scientific innovations, as attributed to their abilities of creating fascinating patterns over small scales. Here, we demonstrate a new thin film…

Fluid Dynamics · Physics 2014-12-04 Debapriya Chakraborty , Suman Chakraborty

The linear dispersion relation for longwave surface perturbations, as derived by Levine et al. Phys. Rev. B 75, 205312 (2007) is extended to include a smooth surface energy anisotropy function with a variable anisotropy strength (from weak…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Mikhail Khenner , Wondimu T. Tekalign , Margo S. Levine

Simulations of the structure and dynamics of fluid films confined to a thickness of a few molecular diameters are described. Confining walls introduce layering and in-plane order in the adjacent fluid. The latter is essential to transfer of…

mtrl-th · Physics 2008-02-03 Peter A. Thompson , Mark O. Robbins , Gary S. Grest

Chemically-active droplets exhibit complex avoiding trajectories. While heterogeneity is inevitable in active matter experiments, it is mostly overlooked in their modelling. Exploiting its geometric simplicity, we fully-resolve the head-on…

Fluid Dynamics · Physics 2020-03-11 Kevin Lippera , Michael Benzaquen , Sebastien Michelin

The surface stability of two interacting (for example, by van der Waals forces) incompressible thin films, one bonded to a substrate and the other to a contactor, is studied extending the work of Shenoy and Sharma, Physical Review Letters…

Soft Condensed Matter · Physics 2007-05-23 Vijay Shenoy , Ashutosh Sharma

Liquids spreading over a solid substrate under the action of various forces are known to exhibit a long wavelength contact line instability. We use an example of thermally driven spreading on a horizontal surface to study how the stability…

Pattern Formation and Solitons · Physics 2017-04-05 Roman O. Grigoriev