Jens Eggers How to make small things
Dec 26, 2015
•Singularities are nature’s way of making small things
Why singularities?
•The simple mathematical structure of singularitiespermits detailed control
experiment byD.H. Peregine et al.,JFM `90 computed
from 1-dmodel
simulation from J. Eggers and T.F. Dupont,JFM 94
Water drop
viscous fluid
fluid jet
cusp forms
Pouring a viscous liquid
E. Lorenceau,D. Quéré,J. Eggers, PRL ‘04
cusp
J. Eggers, PRL ‘01
E. Lorenceau,D. Quéré,PRL ‘03
Quest for microdrops: flow
Cohen et al., Science `01: selective withdrawal
but: smallest tip size 200 m
Small scales: bubble tip
Increase flow rate
tip radius(microns)
flow rate (g/s)
bubble
drain0.5mm
experiment byS. Courrech du Pont
Moving contact lines
experiment by Podgorski et al., PRL `01
orientation of inclined plane
advancing contact line
receding contact line
Contact line deposits
Robert Deegan,
PRE `00
evaporationdeposit pinning-unpinning-
pinning…
0.1 particlesm surfactant
•Singularities occur in a great variety of systems
Conclusions
•Self-similarity is the natural language to describe singularities.
•Challenge: what ways are there to fixate singularities?