Influence of slip on the Plateau–Rayleigh instability on a fibre

Abstract

The Plateau–Rayleigh instability of a liquid column underlies a variety of fascinating phenomena that can be observed in everyday life. In contrast to the case of a free liquid cylinder, describing the evolution of a liquid layer on a solid fibre requires consideration of the solid–liquid interface. Here we revisit the Plateau–Rayleigh instability of a liquid coating a fibre by varying the hydrodynamic boundary condition at the fibre–liquid interface, from no slip to slip. Although the wavelength is not sensitive to the solid–liquid interface, we find that the growth rate of the undulations strongly depends on the hydrodynamic boundary condition. The experiments are in excellent agreement with a new thin-film theory incorporating slip, thus providing an original, quantitative and robust tool to measure slip lengths.

Lossless Fast Drop Self‐Transport on Anisotropic Omniphobic Surfaces: Origin and Elimination of Microscopic Liquid Residue

“…Notably, tongue‐like liquid films are observed to form on the microstripes immediately behind the receding side of the moving drop. Such film only survives for very short time (typically less than 1 ms) before it breaks up into tiny droplets, similar to the Plateau–Rayleigh instability . The above dynamic drop transport behaviors at different velocities can be found in Movie S1 (Supporting Information).…”

Dynamics of thin liquid films on vertical cylindrical fibres

“…where λ * > 0 is the slip length in standard slip models (Haefner et al (2015); Münch et al (2005)). The no-slip boundary condition corresponds to λ * = 0.…”

“…Most of the previous models summarized above employed the classical no-slip boundary condition at the solid-liquid interface. Haefner et al (2015) incorporated slip boundary conditions into a thin-film model and showed that slippage strongly affects the growth rate of undulations when gravitational effects are neglected. Halpern & Wei (2017) later demonstrated that slip effects promote droplet formation and provided a plausible explanation for the discrepancy between the predicted and experimentally-obtained critical Bond number for droplet formation.…”

Periodic Functionalization of Graphene‐Layered Alumina Nanofibers with Aromatic Thermosetting Copolyester via Epitaxial Step‐Growth Polymerization

“…PRI is a phenomenon to explain the instability of a falling liquid jet under gravitational force as a liquid column breaks up into smaller droplets due to effective surface tension . Recently, this approach was adopted to study the behavior of a thin polymer coating on a fiber surface, wherein the surface tension was controlled by the intimate liquid–solid interface . The polymer coating therein receded, upon heating to above its glass transition temperature, and formed liquid bulges wrapping around the circumference of the fiber strand.…”