Mathematical Analysis of an Ideal ZED

[LarryC]

LarryC, energy is the integral of F*ds.  The force that must be exerted to go from the 3+3 state changes from 0 to pWater*area*3ft of total head because the column in the middle counterbalances the column on the right, so it is the difference between those heads, plus the head that we develop in the left hand column that determines the net weight:  IE force that we lift each increment of distance as we pump water into the left hand column.

That's exactly what I'm doing, as I previously stated 'Riser Head - Riser Gap Head + Pod Head'.

[MarkE]

I am calculating energy for all four parts, you need to learn to use the Trace Dependents and Trace Precedents button. The 35 in J8 is not used anywhere, it is a visual double check for me to make sure I set the newly added Inner and Outer riser water ht correctly so they equal the original riser heads in column C. The Inner and Outer riser water ht is used in the store energy calculation.


Never said pressure is a measure of work or power.  You would have known, I was talking about the multiple connected columns is the basis for the Zed design as I have stated many time. The PSI is used in the Risers the same as in a pneumatic cylinder and does create Work during the stroke. Getting the PSI up and down with less input volume is key to increased Power.
In the spreadsheet the volume input to get to Ready to Stroke is 22 for the Zed and 81.02 for the Archimedes and the Output Ft Lbs is 33.55% greater for the Zed. Based on the fact that it would take much longer for a pump to ready the Archimedes than for the Zed, the Zed will cycle faster. Cycle faster increases Work done over time or Power.


Misleading statements caused Librenergia to take it out context and put his big foot in his mouth, when I know just as much about work and power as most of you and apparently with better comprehension, since most of you cannot understand how the Zed works.

Larry, good if you know about energy and power, then kindly correct your spreadsheets once and for all so that they evaluate energy as the integral of F*ds.  Stop using averaged pressure between multiple columns and other methods that you must know from your declaration of your personal expertise are wrong.  Kindly stop uttering physically meaningless statements such as:

Getting the PSI up and down with less input volume is key to increased Power.

If you understand energy then you know that there isn't any stored in an incompressible fluid.  You should also know that pressure and volume are meaningful with respect to energy only under special conditions.  You should also know that power is not a measure of energy.  You should know that energy is the integral of F*ds.  So since based on your claimed expertise you know better, please cut the BS. 

[TinselKoala]

I'm going to guess that there aren't many bowhunters on this thread.

[LarryC]

Larry, good if you know about energy and power, then kindly correct your spreadsheets once and for all so that they evaluate energy as the integral of F*ds.  Stop using averaged pressure between multiple columns and other methods that you must know from your declaration of your personal expertise are wrong.  Kindly stop uttering physically meaningless statements such as:

If you understand energy then you know that there isn't any stored in an incompressible fluid.  You should also know that pressure and volume are meaningful with respect to energy only under special conditions.  You should also know that power is not a measure of energy.  You should know that energy is the integral of F*ds.  So since based on your claimed expertise you know better, please cut the BS.

MarkE,


Testy, I gave you your Stored Energy calculations, the other calculation are for working field engineers so they won't be removed.


I knew when the Stored Energy calculations didn't help you explain the 33.55% increase, you would have to find some other excuse not to admit the Zeds excess output, which is BTW calculated as Force * Stroke. 


So thanks for your time, you have helped in a lot of ways. As a business, we are trying to increase Horsepower in the Zed and you may have inadvertently helped.


Larry

[MarkE]

Larry, you can toy with the power all you want.  What you can't do is deliver excess energy.  You've got formulas in your spreadsheet that are flat wrong.  There is no excess energy in that system:  not 1% not 33%, zero, zip, nada, de novo.  Once again:  Energy is the integral of F*ds.  Only in the special case where F is constant does that evaluate to F*s.  In these devices where water is being pumped in and out of columns, F is not constant, and energy is not F*s.  If you are still unclear on that point then I have not helped enough.