Robust fadeout profile of an evaporation stain

Details Robust fadeout profile of an evaporation stain Robust fadeout profile of an evaporation stain

2009-03-27

arxiv.org/abs/0903.4919v2

Physics

Condensed Matter

Soft Condensed Matter

5 pages at journal density 3 figures. v2 has Numerous wording and figure clarifications. Accepted in Europhysics Letters htt

Scientific paper

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 J(0) at the stagnation point and the liquid depth $h(0)$ there: $p = 1 - 2 (h(0)/\bar h)(\bar J/J(0))$, where $\bar h$ and $\bar J$ are averages over the drop surface.

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