Long-scale evolution of thin liquid films

A Oron, SH Davis, SG Bankoff - Reviews of modern physics, 1997 - APS
Macroscopic thin liquid films are entities that are important in biophysics, physics, and
engineering, as well as in natural settings. They can be composed of common liquids such …

Nonlinear dynamics and breakup of free-surface flows

J Eggers - Reviews of modern physics, 1997 - APS
Surface-tension-driven flows and, in particular, their tendency to decay spontaneously into
drops have long fascinated naturalists, the earliest systematic experiments dating back to …

The dynamics of the piezo inkjet printhead operation

H Wijshoff - Physics reports, 2010 - Elsevier
The operation of a piezo inkjet printhead involves a chain of processes in many physical
domains at different length scales. The final goal is the formation of droplets of all kinds of …

Universal pinching of 3D axisymmetric free-surface flow

J Eggers - Physical review letters, 1993 - APS
We consider the viscous motion of an axisymmetric column of fluid with a free surface. The
Navier-Stokes equation forms a singularity as the height of the fluid neck goes to zero. Close …

Drop formation in a one-dimensional approximation of the Navier–Stokes equation

J Eggers, TF Dupont - Journal of fluid mechanics, 1994 - cambridge.org
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 …

Thin films with high surface tension

TG Myers - SIAM review, 1998 - SIAM
This paper is a review of work on thin fluid films where surface tension is a driving
mechanism. Its aim is to highlight the substantial amount of literature dealing with relevant …

A cascade of structure in a drop falling from a faucet

XD Shi, MP Brenner, SR Nagel - Science, 1994 - science.org
A drop falling from a faucet is a common example of a mass fissioning into two or more
pieces. The shape of the liquid in this situation has been investigated by both experiment …

All-electronic droplet generation on-chip with real-time feedback control for EWOD digital microfluidics

J Gong - Lab on a Chip, 2008 - pubs.rsc.org
Electrowetting-on-dielectric (EWOD) actuation enables digital (or droplet) microfluidics
where small packets of liquids are manipulated on a two-dimensional surface. Due to its …

The lubrication approximation for thin viscous films: regularity and long‐time behavior of weak solutions

AL Bertozzi, M Pugh - Communications on pure and applied …, 1996 - Wiley Online Library
We consider the fourth‐order degenerate diffusion equation, h_t=-∇ ⋅ (f (h) ∇ Δ h), in one
space dimension. This equation, derived from a lubrication approximation, models the …

Boundary integral methods for multicomponent fluids and multiphase materials

TY Hou, JS Lowengrub, MJ Shelley - Journal of Computational Physics, 2001 - Elsevier
We present a brief review of the application of boundary integral methods in two dimensions
to multicomponent fluid flows and multiphase problems in materials science. We focus on …