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We study the drainage of a viscous liquid film coating outside a horizontal cylinder. We first study the evolution of the axially invariant draining flow, initiated at rest with uniform film thickness $\delta$. Non-linear simulations…

Fluid Dynamics · Physics 2023-05-16 Shahab Eghbali , Simeon Djambov , François Gallaire

We study numerically and theoretically the gravity-driven flow of a viscous liquid film coating the inner side of a horizontal cylindrical tube and surrounding a shear-free dynamically inert gaseous core. The liquid-gas interface is prone…

Fluid Dynamics · Physics 2022-11-22 Shahab Eghbali , Yves-Marie Ducimetiere , Edouard Boujo , Francois Gallaire

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 theoretically study the Plateau-Rayleigh instability of a thin viscous film covering a fiber consisting of a rigid cylindrical core coated with a thin compressible elastic layer. We develop a soft-lubrication model, combining the…

Soft Condensed Matter · Physics 2023-12-20 Bharti Bharti , Andreas Carlson , Tak Shing Chan , Thomas Salez

We report an experimental study on the dynamics of a thin film of polymer solution coating a vertical fiber. The liquid film has first a constant thickness and then undergoes the Rayleigh-Plateau instability which leads to the formation of…

Fluid Dynamics · Physics 2013-05-21 François Boulogne , Ludovic Pauchard , Frédérique Giorgiutti-Dauphiné

This study investigates the nonlinear stability and dynamics of gravity-driven viscous films on a vertical rotating cylinder, considering both outer and inner surface flows with slip conditions at the cylinder wall. We develop an asymptotic…

Fluid Dynamics · Physics 2024-07-02 Souradip Chattopadhyay , Amar K. Gaonkar , Hangjie Ji

The interplay between thin film hydrodynamics and solidification produces formidably intricate geophysical structures, such as stalactites and icicles, whose shape is a testimony of their long growth. In simpler settings, liquid films can…

One mechanism for airway closure in the lung is the surface-tension-driven instability of the mucus layer which lines the airway wall. We study the instability of an axisymmetric layer of viscoplastic Bingham liquid coating the interior of…

Fluid Dynamics · Physics 2022-10-24 James Shemilt , Alexander Horsley , Oliver Jensen , Alice Thompson , Carl Whitfield

We study theoretically the profile evolution of a thin viscoelastic film supported onto a no-slip flat substrate. Due to the nonconstant initial curvature at the free surface, there is a flow driven by Laplace pressure and mediated by…

Soft Condensed Matter · Physics 2014-05-16 Michael Benzaquen , Thomas Salez , Elie Raphaël

The morphology of crystalline thin films evolving on flat rigid substrates by condensation of extra film atoms or by evaporation of their own atoms in the surrounding vapor is studied in the framework of the theory of Stress Driven…

Analysis of PDEs · Mathematics 2024-11-05 Paolo Piovano , Francesco Sapio

A simplified, pseudoplastic rheology characterized by constant viscosity plateaus above and below a transition strain rate is applied to axisymmetric, gravitationally driven spreading of a thin fluid film with constant volume flux source in…

Fluid Dynamics · Physics 2023-06-01 Chris Reese

A slender-thread model is derived to explore the Rayleigh-Plateau instability of a filament of elasto-viscoplastic fluid. Without elasticity, a finite yield stress suppresses any linear instability for a filament of constant radius.…

Fluid Dynamics · Physics 2025-12-25 James D. Shemilt , Neil J. Balmforth

The duality between deformations of elastic bodies and non-inertial flows in viscous liquids has been a guiding principle in decades of research. However, this duality is broken when a spheroidal or other doubly-curved liquid film is…

Soft Condensed Matter · Physics 2023-07-20 Benny Davidovitch , Avraham Klein

Volatile viscous fluids on partially-wetting solid substrates can exhibit interesting interfacial instabilities and pattern formation. We study the dynamics of vapor condensation and fluid evaporation governed by a one-sided model in a low…

Fluid Dynamics · Physics 2018-02-07 Hangjie Ji , Thomas P. Witelski

Airway clearance by coughing is a key mechanism for mucus transport, particularly in obstructive lung diseases associated with altered mucus rheology. We investigate the dynamics of a viscoplastic liquid film driven by flow in a turbulent…

Fluid Dynamics · Physics 2025-10-27 James D. Shemilt , Neil J. Balmforth , Duncan R. Hewitt

The surface of a thin liquid film with nonconstant curvature flattens as a result of capillary forces. While this leveling is driven by local curvature gradients, the global boundary conditions greatly influence the dynamics. Here, we study…

This work investigates the morphological stability of a soft body composed of two heavy elastic layers, attached to a rigid surface and subjected only to the bulk gravity force. Using theoretical and computational tools, we characterize the…

Soft Condensed Matter · Physics 2017-09-21 Davide Riccobelli , Pasquale Ciarletta

Surface tension-driven flow techniques have recently emerged as an efficient means of shedding light into the rheology of thin polymer films. Motivated by experimental and theoretical approaches in films bearing a varying surface…

Soft Condensed Matter · Physics 2017-04-26 Ioannis Tanis , Hendrik Meyer , Thomas Salez , Elie Raphaël , Anthony C. Maggs , Jörg Baschnagel

We study the dewetting of liquid films capped by a thin elastomeric layer. When the tension in the elastomer is isotropic, circular holes grow at a rate which decreases with increasing tension. The morphology of holes and rim stability can…

Soft Condensed Matter · Physics 2017-11-28 Rafael D. Schulman , John F. Niven , Michiel A. Hack , Christian DiMaria , Kari Dalnoki-Veress

The rimming flow of a viscoelastic thin film inside a rotating horizontal cylinder is studied theoretically. Attention is given to the onset of non-Newtonian free-surface instability in creeping flow. This non-inertial instability has been…

Fluid Dynamics · Physics 2015-09-18 Sergei Fomin , Ravi Shankar , Peter Haine
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