Dynamics of thin liquid films on vertical cylindrical fibres

Recent experiments on thin films flowing down a vertical fibre 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 that includes slip boundary conditions, nonlinear curvature terms and a film stabilization term. This study brings to focus the presence of a stable liquid layer playing an important role in the full dynamics. We propose a combination of these physical effects to explain the observed velocity and stability of travelling droplets in the experiments and their transition to isolated droplets. This is also supported by stability analysis of the travelling wave solution of the model.

• Publication year

  2018

• Venue

  Journal of Fluid Mechanics

• Publication date

  2018-12-31

• Fields of study

  Materials Science, Physics, Engineering

• Identifiers
  DOI 10.1017/jfm.2019.33arXiv 1901.00065
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Recent advances in and future challenges for mesoscopic hydrodynamic modelling of complex wetting

  2018cited by this paper
• Dynamics of thin liquid films flowing down the uniformly heated/cooled cylinder with wall slippage

  2018cited by this paper
• On the multiple solutions of coating and rimming flows on rotating cylinders

  2017cited by this paper
• Slip-enhanced drop formation in a liquid falling down a vertical fibre

  2017influential reference
• Effects of Nozzle Geometry on the Fluid Dynamics of Thin Liquid Films Flowing down Vertical Strings in the Rayleigh-Plateau Regime.

  2017influential reference
• Experimental study of heat transfer between thin liquid films flowing down a vertical string in the Rayleigh-Plateau instability regime and a counterflowing gas stream

  2017cited by this paper
• Influence of slip on the Plateau–Rayleigh instability on a fibre

  2015influential reference
• The velocity of ‘large’ viscous drops falling on a coated vertical fibre

  2011cited by this paper
• Wavy regimes of film flow down a fiber.

  2011influential reference
• Falling Liquid Films

  2011cited by this paper
• On the depinning of a drop of partially wetting liquid on a rotating cylinder

  2010cited by this paper
• Dynamics and stability of thin liquid films

  2009cited by this paper
• Wetting and Spreading

  2009cited by this paper
• Film flows down a fiber: Modeling and influence of streamwise viscous diffusion

  2009influential reference
• Spatial evolution of a film flowing down a fiber

  2009influential reference
• Modelling film flows down a fibre

  2008cited by this paper
• Absolute and convective instabilities of a viscous film flowing down a vertical fiber.

  2007cited by this paper
• Dynamics of free surface perturbations along an annular viscous film.

  2007cited by this paper
• Free-surface flows with large slopes: Beyond lubrication theory

  2006cited by this paper
• Film flow down a fibre at moderate flow rates

  2006influential reference
• On viscous beads flowing down a vertical fibre

  2006cited by this paper
• Lubrication Models with Small to Large Slip Lengths

  2005cited by this paper
• Hydrodynamical models for the chaotic dripping faucet

  2004cited by this paper
• Viscous beads on vertical fibre

  2001cited by this paper
• Dynamics of a condensing liquid film under conjoining/disjoining pressures

  2001influential reference
• “String‐of‐beads” flow of liquids on vertical wires for gas absorption

  2000influential reference
• FLUID COATING ON A FIBER

  1999cited by this paper
• Mechanism for drop formation on a coated vertical fibre

  1999cited by this paper
• Long-scale evolution of thin liquid films

  1997cited by this paper
• Wetting: Statics and dynamics

  1997cited by this paper
• Drop formation during coating of vertical fibres

  1994cited by this paper
• Non-isothermal flow of a liquid film on a horizontal cylinder

  1992cited by this paper
• Nonlinear Theory of Strongly Undulating Thin Films Flowing Down Vertical Cylinders

  1992cited by this paper
• Steady‐state traveling waves on the surface of a viscous liquid film falling down on vertical wires and tubes

  1992cited by this paper
• The route to chaos in a dripping water faucet

  1991influential reference
• Thin Films Flowing on Vertical Fibers

  1990cited by this paper
• Making van der Waals Films on Fibers

  1989cited by this paper
• Intermolecular and surface forces

  1985cited by this paper
• Wetting: statics and dynamics

  1985cited by this paper

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  2026influential citation
• Asymptotic modelling of viscous film flow in slippery flexible tubes

  2025cites this paper
• Viscous film flow inside a tube with time-dependent radius

  2025cites this paper
• Modeling of a thin liquid film flowing down a vertical cylinder in the presence of a control mechanism

  2025cites this paper
• Thermocapillary instability in self-rewetting liquid films flowing down a heated soft vertical fibre.

  2025cites this paper
• Dynamics of thin film flows on a vertical fibre with vapor absorption

  2025influential citation
• Thermocapillary instabilities in thin liquid films on a rotating cylinder

  2025cites this paper
• The role of wall slip on soluto-Marangoni instability in inertial two-fluid channel flows: A linear stability analysis

  2025cites this paper
• Effect of imposed shear stress on the stability of surfactant-laden liquid film flow over a rod

  2025cites this paper
• Fluid dynamics of thin liquid films flowing down vertical flexible fibers

  2025cites this paper
• Stability analysis of thin film flow on a heated cylindrical surface with effects of heat flux and exponentially varying viscosity

  2025cites this paper
• Axisymmetric dynamics and equilibria of annular liquid films coating a fiber

  2025cites this paper
• Modeling film flows down a rotating slippery cylinder

  2024influential citation
• Thermocapillary weak viscoelastic film flows on a rotating substrate

  2024cites this paper
• A long-wave model for a falling upper convected Maxwell film inside a tube

  2024cites this paper
• Viscous fingering analysis for water-drive oil in the inclined plane

  2024cites this paper
• Rayleigh-Plateau Instability on an angled and eccentric fiber: An alternative approach

  2024cites this paper
• Gravity-Driven Film Flow of a Power-Law Fluid over a Wavy Substrate with Slip Condition

  2024cites this paper
• Falling liquid film down a non-uniformly heated slippery inclined plane with odd viscosity effects

  2024cites this paper
• Stability of gravity-driven viscous films flowing down a soft cylinder

  2024cites this paper
• Numerical Methods for Fourth-Order PDEs on Overlapping Grids with Application to Kirchhoff–Love Plates

  2024cites this paper
• Inertia and slip effects on the instability of a liquid film coated on a fibre

  2024cites this paper
• Mean field control of droplet dynamics with high-order finite-element computations

  2024influential citation
• Thermocapillary thin films on rotating cylinders with wall slip and exothermic reactions

  2024cites this paper
• Modeling reactive film flows down a heated fiber

  2024cites this paper
• Optimal boundary control of a model thin-film fiber coating model

  2023cites this paper
• On weak solutions of a control-volume model for liquid films flowing down a fibre

  2023cites this paper
• Direct Simulation on the Dynamics of Liquid Films Flowing Down a Fiber

  2023cites this paper
• Bead-on-fibre morphology in shear-thinning flow

  2023cites this paper
• Shear imposed falling liquid films on a slippery substrate with Marangoni effects: Effect of odd viscosity

  2023cites this paper
• Derivation via Hamilton's principle of a new shallow-water model using a color function for the macroscopic description of partial wetting phenomena

  2023cites this paper
• Thermocapillary thin film flows on a slippery substrate with odd viscosity effects

  2023cites this paper
• Thin liquid films on a slippery vertical cylinder in presence of chemical reaction

  2023cites this paper
• A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber

  2023influential citation
• Wetted-wire columns: a potential alternative to packed or spray columns

  2023cites this paper
• Lubrication theory for free-surface flows with finite slopes and fluxes

  2022cites this paper
• Influence of wind on a viscous liquid film flowing down a thread

  2022cites this paper
• Slip-enhanced Rayleigh–Plateau instability of a liquid film on a fibre

  2022influential citation
• Hydraulic jump on the surface of a cone

  2022cites this paper
• Thick film flowing down a non-isothermal vertical cylinder

  2022cites this paper
• Liquid Films Falling Down a Vertical Fiber: Modeling, Simulations and Experiments

  2021cites this paper
• The Relative Periodic Orbit of Liquid Films Flowing down a Vertical Fiber

  2021cites this paper
• Investigation of flow dynamics of thin viscous films down differently shaped fibers

  2021cites this paper
• Multiple droplets on a conical fiber: formation, motion, and droplet mergers.

  2021cites this paper
• Coating flows down a vertical fibre: towards the full Navier–Stokes problem

  2021cites this paper
• On reactive thin liquid films falling down a vertical cylinder

  2020cites this paper
• Gravity-driven thermoviscous liquid film down a heated or cooled vertical cylinder

  2020cites this paper
• Marangoni instability of self-rewetting films modulated by chemical reactions flowing down a vertical fibre

  2020cites this paper
• Instabilities and bifurcations of liquid films flowing down a rotating fibre

  2020cites this paper
• Stability of surfactant-laden liquid film flow over a cylindrical rod.

  2020cites this paper
• Asymmetric Instability of Thin-Film Flow on a Fiber

  2020cites this paper
• Modelling film flows down a fibre influenced by nozzle geometry

  2020cites this paper
• Bifurcation study for a surface-acoustic-wave-driven meniscus

  2020cites this paper
• On travelling wave solutions of a model of a liquid film flowing down a fibre

  2020cites this paper
• Self-organized dip-coating patterns of simple, partially wetting, nonvolatile liquids

  2019cites this paper
• Thermally-driven coalescence in thin liquid film flowing down a fibre

  2019influential citation