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Re: The Freau number...
Original poster: Terry Fritz <teslalist@xxxxxxxxxxxxxxxxxxxxxxx>
Hi Steve,
I think it will always have to have a dimension. It will always be some
length/some energy term...
We could easily write it as:
Spark length (meters) = F x (bang energy x BPS)^0.5
That way we can change the "0.5" if needed. So,:
F = (Spark length (meters)) / ((bang energy x BPS)^0.5)
The dimension really gets odd if we us 0.6...
I liked Freau number since I never can spell "coefficient" ;-) There is
also "Freau Factor"....
Cheers,
Terry
At 05:03 AM 6/18/2005, you wrote:
Spark length (meters) = F x SQRT(bang energy x BPS)
"F" would stand for "Freau" so John will be eternally famous!! I would
suggest going to meters just to keep things "scientific".
I agree that "F" is a handy way of measuring coil performance, a bit like
the specific impulse for a rocket or such like. But I wonder if there is a
way to make it into a proper dimensionless number. Otherwise you have to
call it the "Freau coefficient" with its rather unwieldy dimensions of
"metres per root watt".
Also I remember Nick Field mentioning that the law may not be quite a
square root. Square rooting is raising to the power 0.5, and he suggested
the exponent might actually be nearer 0.6 or something.
I suggest the "Watts number" (streamer length divided by resonator length)
as another handy parameter. Some day I ought to try making a graph of F
vs. Wa for a coil and see if it throws up any interesting results.
Steve Conner