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This paper presents a theoretical analysis of the liquid film dynamics during the oscillation of a meniscus between a liquid and its vapour in a cylindrical capillary. By using the theory of Taylor bubbles, the dynamic profile of the…

Fluid Dynamics · Physics 2021-08-04 Xiaolong Zhang , Vadim Nikolayev

We study the behavior of very thin liquid films wetting homogeneous planar and spherical substrates. In order to describe a simple fluid at very small scales, we employ a classical density functional theory (DFT). Here, we model a fluid…

Statistical Mechanics · Physics 2017-01-10 Andreas Nold

The coupled dynamics of two conjugated liquid layers of disparate thicknesses, which coat a solid substrate and are subjected to a transverse temperature gradient, is investigated. The upper liquid layer evolves under the short-wavelength…

Fluid Dynamics · Physics 2016-05-04 Iman Nejati , Mathias Dietzel , Steffen Hardt

The surface of a thin liquid film with nonconstant curvature is unstable, as the Laplace pressure drives a flow mediated by viscosity. We present the results of experiments on one of the simplest variable curvature surfaces: a stepped…

Soft Condensed Matter · Physics 2015-06-11 Joshua D. McGraw , Thomas Salez , Oliver Bäumchen , Elie Raphaël , Kari Dalnoki-Veress

Recent experiments of thin films flowing down a vertical fiber with varying nozzle diameters present a wealth of new dynamics that illustrate the need for more advanced theory. We present a detailed analysis using a full lubrication model…

Fluid Dynamics · Physics 2019-01-03 H. Ji , C. Falcon , A. Sadeghpour , Z. Zeng , Y. S. Ju , A. L. Bertozzi

The study of viscous thin film flow has led to the development of highly nonlinear partial differential equations that model how the evolution of the film height is affected by different forces. We investigate a model of interaction between…

Fluid Dynamics · Physics 2024-07-25 Steven A Kedda , Michael C Dallaston , Scott W McCue

We study the linear stability with respect to lateral perturbations of free surface films of polymer mixtures on solid substrates. The study focuses on the stability properties of the stratified and homogeneous steady film states studied in…

Fluid Dynamics · Physics 2010-10-15 Santiago Madruga , Uwe Thiele

We consider two stacked ultra-thin layers of different liquids on a solid substrate. Using long-wave theory, we derive coupled evolution equations for the free liquid-liquid and liquid-gas interfaces. Linear and non-linear analyses show…

Pattern Formation and Solitons · Physics 2009-11-10 Andrey Pototsky , Michael Bestehorn , Uwe Thiele , Domnic Merkt

The human tear film (TF) is thin multilayer fluid film that is critical for clear vision and ocular surface health. Its dynamics are strongly affected by a floating lipid layer and, in health, that layer slows evaporation and helps create a…

Fluid Dynamics · Physics 2024-04-23 M. J. Taranchuk , R. J. Braun

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

We report a theoretical and numerical investigation of the linear and nonlinear dynamics of a thin liquid film of viscosity $\mu$ sandwiched between a solid substrate and an unbounded liquid bath of viscosity $\lambda \mu$. In the limit of…

Fluid Dynamics · Physics 2023-11-27 A. Martinez-Calvo , D. Moreno-Boza , J. F. Guil-Pedrosa , A. Sevilla

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

Flow of a thin viscous film down a flat inclined plane becomes unstable to long wave interfacial fluctuations when the Reynolds number based on the mean film thickness becomes larger than a critical value (this value decreases as the angle…

Fluid Dynamics · Physics 2016-01-20 Alice B. Thompson , Dmitri Tseluiko , Demetrios T. Papageorgiou

Investigations of free-standing liquid films enjoy an increasing popularity due to their relevance for many fundamental and applied scientific problems. They constitute soap bubbles and foams, serve as membranes for gas transport or as…

We consider the unsteady thin-film dynamics of a long bubble of negligible viscosity that advances at a uniform speed in a cylindrical capillary tube. The bubble displaces a viscous, nonwetting fluid, creating a thin film between its…

Fluid Dynamics · Physics 2017-06-14 Naima H. Hammoud , Philippe H. Trinh , Peter D. Howell , Howard A. Stone

The spreading of a thin film of suspension on a spinning disk and the accompanying contact line instability is studied through flow visualization experiments. The critical radius for the onset of instability shows an increase with increase…

Soft Condensed Matter · Physics 2016-06-10 Mayuresh Kulkarni , Subhadarshinee Sahoo , Pankaj Doshi , Ashish V. Orpe

A microfluidic device is constructed from PDMS with a single channel having a short section that is a thin flexible membrane, in order to investigate the complex fluid-structure interaction that arises between a flowing fluid and a…

Soft Condensed Matter · Physics 2020-07-03 Debadi Chakraborty , J. Ravi Prakash , Leslie Yeo , James Friend

We consider two-layers of immiscible liquids confined between an upper and a lower rigid plate. The dynamics of the free liquid-liquid interface is described for arbitrary amplitudes by a single evolution equation derived from the basic…

Pattern Formation and Solitons · Physics 2007-05-23 D. Merkt , A. Pototsky , M. Bestehorn , U. Thiele

Langmuir monolayers are advantageous systems used to investigate how lipid membranes get involved in the physiology of many living structures, such as collapse phenomena in alveolar structures. Much work focuses on characterizing the…

Soft Condensed Matter · Physics 2024-01-22 A. R. Carotenuto , A. Gaffney , K. Y. C. Lee , L. Pocivavsek , M. Fraldi , L. Deseri

One of the main roles of the lipid layer (LL) of the tear film (TF) is to help prevent evaporation of the aqueous layer (AL). The LL thickness, composition, and structure all contribute to its barrier function. It is believed that the lipid…

Fluid Dynamics · Physics 2024-04-29 M. J. Taranchuk , R. J. Braun