Date: May 4, 2013 11:50 AM
Subject: Re: Magic squares as vorticial approximants in highly-granular flow intersection

On May 3, 8:48 pm, Graham Cooper <> wrote:
> On May 1, 8:28 am, "Ross A. Finlayson" <>
> wrote:

> > The magic square if a square table or grid of integers with the
> > property that each sum of the elements of a row or column is the
> > same.  In laminar flow, flow is divided into parallel flows with a
> > uniform partition that sees equal flow in each partition.  When two
> > laminar flows intersect in perpendicular, it may be seen that the
> > weight of an elements in a magic square would indicate randomized
> > vorticial tendencies.   To be developed is the combinatorial
> > enumeration of magic squares, developing a calculus for distributions
> > of whorls and vortices.

> > Ideas....
> > Regards,
> > Ross Finlayson
> My brother wrote a NAUGHTS & CROSSES program
> and summed the rows and columns and diagonals
> to check if it was equal to 15, to test for a
> triple O or triple X!
> Herc

This might be seen, for example, in either of two regimes of the fluid
model, in electricity with the skin effect (fringe flow) and water
with surface tension (core flow). Then in a finite element analysis,
through junctions, the idea is to model linear to spiral flow and
back, where the change from linear to spiral flow generates vortices,
that dissipate with conservation of flow, for compressible and non-
compressible fluids.


Ross Finlayson