Mathematical Analysis of an Ideal ZED

[MarkE]

Here is a basic diagram that shows how to calculate the potential energy that is in a single column of water.  The constants are set for 20C temperature.  One can derive the energy correctly by multiplying the average pressure by the total volume.  As the head changes, so both change the volume and the pressure, causing the energy to change as the square of the head.

ETA: LarryC noticed that the multiplication was wrong on the middle numbers.    I have updated the drawing to fix that.  The energy progression is 1X, 4X, 16X, for volumes of 1X, 2X, and 4X respectively.

[mondrasek]

Mondrasek, I know you are busy today so don't feel the need to reply right away, I can wait.

Does your diagram represent your actual test system?

Back at home now.  I travel every Wednesday, but it does mean I get home a little early, and since it is trash night that works to my advantage.

This ideal model is completely unrelated to the physical test system I built.  I drew it up for the expressed purpose of performing a Mathematical Energy Balance Analysis per the methods I had recently learned from posts by MarkE.  The dimensions were chosen to simplify some of the expected calculations, or were random.  However, I did choose a 3:1 height to diameter ratio for the pod since that was much closer to the general guidelines given by Wayne so long ago.  And I had found that a higher ratio should have benefited my previous build that was only about a 1:1 from observations of that experiment.

Other than that, this is a pure Mathematical Analysis of a generalized random representation of a ZED.  I just wanted to see what the math would show.  I was surprised with the results.  And so I asked for a double check.  On both the math and the analysis process.  So far I have learned of one mistake in an assumption I used in my first attempt that I have corrected, and also another in the whole Energy Balance process concept in general (the proper "red box" you helped with) that is good knowledge to have, but did not impact the previous calcs AFAICS.

[MileHigh]

Good for you TK.  I have been seriously considering calling one of those journalists I linked to a week ago.  I have the flu right now and if I am home tomorrow during the day and feeling up to it I may call.  It may be possible to put fire into somebody's belly and get them to do some investigative journalism.

MileHigh

[TinselKoala]

That's good, MH. Please let me know if there is any way I can help, bearing in mind that I can't travel to Chickasha. You are welcome to my compendium of Travis info, like the ppt and the video I posted earlier where he is clearly pitching an "opportunity" to investors.
--TK

(Hope you feel better soon...)

     Koala,
             if we don't get an answer to question on 131 from Wayne we can take it
       as a no I would assume.
                            John.

Sound of crickets chirping....

[minnie]

  "We have a net 5hp. system" Feb 21 2014. He's an honest man so cannot say yes if he hasn't.
    If he says no, we'll all know! If he doesn't answer, we'll all know.
                                           John.