In reply to  Horace Heffner's message of Tue, 5 Apr 2005 16:46:12
-0800:
Hi,
[snip]
>>Thanks. I have now derived the formula for myself, so I understand
>>where it comes from, and what the various constants mean. I have
>>also applied the same derivation principle to an active vortex
>>that it constantly being "topped up" to maintain a constant level.
>>The result for a vortex with no initial angular velocity
>
>Uh, if there is no initial angular velocity the water merely runs down the
>drain.  Not sure what you mean here.

What I mean is that the body of water as a whole has no initial
angular velocity, though a small portion adjacent to the drain may
have. IOW just enough to get the vortex kicked off, so that it can
grow from the centre out.

Ok, I have now resolved the whole thing. The complete model with
freely chosen tank rim parameters (including injection velocity),
can now be found at

http://users.bigpond.net.au/rvanspaa/vortex-shape+.mcd

with gif at

http://users.bigpond.net.au/rvanspaa/v-shape.gif

Perhaps needless to say, we missed out on that free lunch again!
:)

Regards,


Robin van Spaandonk

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