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Hero or Heron of Alexandria's Magic Fountain

 
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Location: Kentucky- Zone 7(a)
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Dear Paul Wheaton, Saint of Self Made Men and Greetings Permies! I have something here that is very old and yet not utilized at all.
http://www.rose-hulman.edu/~moloney/AppComp/2001Entries/e09k/fountain.htm ***1

It is Herons fountain and in it we perpetually utilize Bernoulli and pascal theory's on liquids. the link above is not quite perpetual but has the equation (which im not quite sure about)
(***2) this is the improvement and perpetual fountain

Okay.. So I think that this could be very very useful in aquaponics, for obvious reasons. Is there anyone out there that is goo with the algebra? I know rho is density of water. im assuming 'g' is gravity. is that force exerted? ft.lbs? how is'g' quantified?

H1/H2 would be nill and void in the adaptation where vessels b and c are equally pressurized?? how does that change the equation?

I also want to adapt a bell siphon inlet to first vessel c from the main fish resevoir. im assumin a check valve would be needed here. Im going to caveman engineer a working version with five gallon buckets giving what i assume would be a volume of 2.5 gallons at (v). who can solve for V??? ***1. given two five gallon buckets on equal height as in ***2 winner gets a free peach tree(?) or transplant of equal value (subject to availability) )))
 
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