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Vortex Shape

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Measuring a water vortex like this one presents significant
difficulty, for a number of reasons, chief amongst which is
obviously the pronounced ripple.  The errors worsen as the
vortex narrows.  Nevertheless - with some good will - we may
see a general conformityto a NULL path curve, and to a
straight subNULL path curve.

b vortex-right



Measurement here is even more problematic, as the ripple
is really a large wobble, which we may see from the severe
displacement of the axis, and there are many lesser ripples,
so we fit to the whole widths - the diameters - which combines
and averages the two profiles, to reduce the impact of all
these spuria.

The result is quite a good fit to path curves—in which the ripples
nevertheless remain quite visible.

a_vor

These two show attempts to match the “double helix” ripples
and left profiles. Black spirals are “plan views” of spirohelices.



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