| Issue |
EPL
Volume 86, Number 6, June 2009
|
|
|---|---|---|
| Article Number | 64002 | |
| Number of page(s) | 5 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/86/64002 | |
| Published online | 10 July 2009 | |
Robust fadeout profile of an evaporation stain
James Franck Institute, University of Chicago - Chicago IL 60637 USA
Corresponding author: t-witten@uchicago.edu
Received:
27
March
2009
Accepted:
27
May
2009
We propose an explanation for the commonly seen fading in the density of a stain remaining after a droplet has dried on a surface. The density decreases as a power p of the distance from the edge. For thin, dilute drops of general shape this power is determined by a flow stagnation point in the distant interior of the drop. The power p depends on the local evaporation rate 
at the stagnation point and the liquid depth 
there: 
, where 
and 
are averages over the drop surface.
PACS: 47.57.ef – Sedimentation and migration / 02.40.Xx – Singularity theory / 47.55.D- – Drops and bubbles
© EPLA, 2009
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