jens eggers how to make small things. singularities! experiment by shi et al. very small scales...
Post on 26-Dec-2015
218 Views
Preview:
TRANSCRIPT
•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?
top related