Washburn's Equation
<p>
The equation describes the
<a class="wikilink" href="/flow/">
flow
</a>
of a liquid inside a
<a class="wikilink" href="/capillary/">
capillary
</a>
of a given radius. I need to do a bit more of reading, but it relates the penetration of the liquid to time,
<a class="wikilink" href="/viscosity/">
viscosity
</a>
,
<a class="wikilink" href="/surface_tension/">
surface tension
</a>
, radius, and
<a class="wikilink" href="/contact_angle/">
contact angle
</a>
.
</p>
<p>
The original equation is from 1906, so I assume there should be a lot of work and characterizations done for multiple materials.
</p>
<p>
This relationship can be of great help to characterize the liquid inside the
<a class="wikilink" href="/hollow_optical_fiber/">
hollow optical fiber
</a>
setup of
<a class="wikilink" href="/dispertech/">
Dispertech
</a>
: if we can determine the viscosity of the medium independently (i.e. without asking the user to input it), we can have a truly self-calibrating method of determining size.
</p>
<p>
See:
<a href="https://en.wikipedia.org/wiki/Washburn%27s_equation">
Wikipedia
</a>
as starting point.
</p>
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