Stability of viscous long liquid filaments

  title={Stability of viscous long liquid filaments},
  author={T. W. Driessen and Roger Jeurissen and Herman Wijshoff and Federico Toschi and Detlef Lohse},
  journal={Physics of Fluids},
We study the collapse of an axisymmetric liquid filament both analytically and by means of a numerical model. The liquid filament, also known as ligament, may either collapse stably into a single droplet or break up into multiple droplets. The dynamics of the filament are governed by the viscosity and the aspect ratio, and the initial perturbations of its surface. We find that the instability of long viscous filaments can be completely explained by the Rayleigh-Plateau instability, whereas a… 

Figures from this paper

Shape of a recoiling liquid filament
This analysis provides a full picture of the recoiling process going beyond the classic result of the velocity of retraction found by Taylor and Culick, and identifies three distinct length and time scale regions in the retraction domain.
Instability of Nano- and Microscale Liquid Metal Filaments: Transition from Single Droplet Collapse to Multidroplet Breakup.
The critical dimensions below which filaments do not break up but rather collapse to a single droplet are found, highlighting the importance of liquid metal resolidification, which reduces inertial effects.
Revisiting the Taylor-Culick approximation: Retraction of an axisymmetric filament
We numerically study the retraction of an axisymmetric viscous filament in a passive surrounding fluid. The analysis focuses on the evolution of the tip velocity, from the early stage of the filament
Numerical prediction of breakup mode of contracting gas filament in liquid
The breaking up of gas filament in liquid is important in many industrial and scientific applications. In this study, a transient axisymmetric model with the level set method is built up to examine
Breakup of finite-size liquid filaments: Transition from no-breakup to breakup including substrate effects⋆
Direct numerical simulations reveal striking new details into the breakup pattern for low Ohnesorge numbers, where the dynamics are fast and the experimental imaging is not available; the results therefore significantly extend the range of Ohnes Gorge number over which filament breakup has been considered.
Surfactant-driven escape from endpinching during contraction of nearly inviscid filaments
Abstract Highly stretched liquid drops, or filaments, surrounded by a gas are routinely encountered in nature and industry. Such filaments can exhibit complex and unexpected dynamics as they contract
Drop formation from axi-symmetric fluid jets
In DoD inkjet printing, an ink jet is ejected from a nozzle, which forms a liquid filament after breaking up from the nozzle. The stability of this filament must be controlled for optimal print
On the influence of initial geometry on the evolution of fluid filaments
In this work, the influence of the initial geometry on the evolution of a fluid filament deposited on a substrate is studied, with a particular focus on the thin fluid strips of nano-scale thickness.
A numerical study of liquid compound filament contraction
Droplets resulting from liquid filament contraction have been widely used in industrial processes. However, detailed investigations of liquid compound filament contraction processes are lacking in
Control of jet breakup by a superposition of two Rayleigh–Plateau-unstable modes
Abstract We experimentally, numerically and theoretically demonstrate a novel method of producing a stream of widely spaced high-velocity droplets by imposing a superposition of two


Breakup of liquid filaments.
Experimental evidence is provided for the conditions under which a liquid filament will break up into drops, in terms of a wide range of two dimensionless quantities: the aspect ratio of the filament and the Ohnesorge number.
The contraction of liquid filaments
In this paper the evolution of a free liquid filament of arbitrary viscosity, contracting under the action of surface tension forces, is studied by numerical means. A finite- element discretization
An experimental study of transient effects in the breakup of viscous drops
A computer-controlled four-roll mill is used to examine two transient modes of deformation of a liquid drop: elongation in a steady flow and interfacial-tension-driven motion which occurs after the
Dynamics and breakup of a contracting liquid filament
Contraction of a filament of an incompressible Newtonian liquid in a passive ambient fluid is studied computationally to provide insights into the dynamics of satellite drops created during drop
Breakup of diminutive Rayleigh jets
Discharging a liquid from a nozzle at sufficient large velocity leads to a continuous jet that due to capillary forces breaks up into droplets. Here we investigate the formation of microdroplets from
Drop formation in a one-dimensional approximation of the Navier–Stokes equation
We consider the viscous motion of a thin axisymmetric column of fluid with a free surface. A one-dimensional equation of motion for the velocity and the radius is derived from the Navier–Strokes
We study how an axisymmetric drop of inviscid fluid breaks under the action of surface tension. The evolution of various initial shapes is calculated numerically using a boundary-element method, and
Computational and experimental analysis of dynamics of drop formation
Dynamics of formation of a drop of a Newtonian liquid from a capillary tube into an ambient gas phase is studied computationally and experimentally. While this problem has previously been studied
Bursting thin liquid films
The breakup of a free thin liquid film subjected to an impulsive acceleration is investigated. A soap film is stretched on a frame at the exit of a shock tube. As the shock impacts the film, the film
A regularised one-dimensional drop formation and coalescence model using a total variation diminishing (TVD) scheme on a single Eulerian grid
The breakup of an axisymmetric viscous jet is considered in the lubrication approximation. The discretised equations are solved on a fixed equidistant one-dimensional Eulerian grid. The governing