Publications by Mathias Nagel | EPFL Graph Search

Oscillations of confined fibres transported in microchannels

François Gallaire, Pierre-Thomas Paul Brun, Mathias Nagel

Cambridge University Press2018

Boundary elements method for microfluidic two-phase flows in shallow channels

In the following work we apply the boundary element method to two-phase flows in shallow microchannels, where one phase is dispersed and does not wet the channel walls. These kinds of flows are often encountered in microfluidic Lab-On-A-Chip devices and ch ...

Elsevier2015

Modeling droplets flowing in microchannels

Mathias Nagel

EPFL2014

A numerical study of droplet trapping in microfluidic devices

François Gallaire, Pierre-Thomas Paul Brun, Mathias Nagel

Microfluidic channels are powerful means of control of minute volumes such as droplets. These droplets are usually conveyed at will in an externally imposed flow which follows the geometry of the micro-channel. It has recently been pointed out by Dangla et ...

Amer Inst Physics2014

Generic path for droplet relaxation in microfluidic channels

François Gallaire, Pierre-Thomas Paul Brun, Mathias Nagel

In two-phase microfluidics, droplets often undergo deformations that drive them away from their circular equilibrium shape. Herein we concentrate on the relaxation of symmetrical deformations to a circle driven by surface tension effects, which are predomi ...

American Physical Society2013

A new prediction of wavelength selection in radial viscous fingering involving normal and tangential stresses

François Gallaire, Mathias Nagel

We reconsider the radial Saffman-Taylor instability when a fluid injected from a point source displaces another fluid of higher viscosity in a Hele-Shaw cell where the fluids are confined between two neighboring flat plates. The advancing fluid front is un ...

2013

Numerical pancake droplets: from capturing to versatile microfluidics

François Gallaire, Mathias Nagel

This article proposes a numerical model for microfluidic two-phase flows in flat channels, also called Hele-Shaw cells. The initially three-dimensional problem is simplified to two-dimensions by depth averaging in the thin direction. The 2D partial differe ...

SOCIETE HYDROTECHNIQUE DE FRANCE2012

New prediction for wave length selection of radial fingering in a Hele-Shaw cell

François Gallaire, Mathias Nagel

Existing linear stability analysis of radial fingering in Hele-Shaw cells use Darcy’s law as a model for the fluid motion. Comparison between experiments and theory reveals a large discrepancy at order 1 capillary numbers. In this work we use the so-called ...

Association Française De Mécanique2011