Volume 86, Number 6, June 2009
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||10 July 2009|
Robust fadeout profile of an evaporation stain
James Franck Institute, University of Chicago - Chicago IL 60637 USA
Corresponding author: firstname.lastname@example.org
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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