Hydro Differential pressure exchange over unity system.

[mondrasek]

After digesting Mr. Wayne's One+Zed+through+complete+cycle.jpg I realized that finding the starting configuration of water and air in the collapzed ZED would be problematic (for me at least).  So I decided to try and start with an ideal case where the ZED model I showed earlier was already stroked upwards the maximum of 2 inches.  Hopefully I can figure out how to work backwards from here.

M.

[mondrasek]

Here is an attempt to remove 5 in^3 of water from the center section of the ZED (as if transferring the water from this ZED to a second unit).  Some interesting things happened:

1)  The Pod and Outer Riser are still buoyant enough to overcome their own weight and want to float. 

2)  The Inner Riser is no longer buoyant enough to overcome it's own weight and wants to sink.  It is almost now heavier than what the Pod can support with it's buoyancy, so both of those members may sink a bit more than shown in the diagram until the resultant increase in buoyancy of both members equals out their weight.

3)  The pressure of the air inside each riser dropped due to the dropping water column height and would therefor allow for some expansion which is also not shown properly in the diagram.  Truth be told, I do not know how to calculate the balance point for all the air expansions and resultant water level changes.  I could get close by doing this iteratively but can't fathom putting in that much effort.  Proper parametric equations would be the way to go.

4)  The Equivalent Water Column Height dropped dramatically for only removing 5 in^3 of water.  This is mainly because each water head is not just dropping, but is rising into the next inner air chamber and thus decreasing head pressure at twice the rate of drop.  I believe this is significant.
 
Interesting exercise.

M.

[LarryC]

Travis has kindly helped me to understand how the Total lift force is calculated in the system.
The relationships are not exact, but fairly accurate and can be analyzed to help the model builders.

The PSI in Riser 2 seems wrong, but it not incremented to account for the downward force that Riser 1 adds to the system. The total head in the system is actually 14.4.
The Pod is Archimedes's.


The xls file is right above the picture.

Enjoy, Larry

[mondrasek]

@LarryC,

Interesting.  I seem to have missed that the buoyant force in each enclosed Pod or Riser also needs to overcome the downward force from the pressure of the air in the chamber in which it is rising.  I'll have to redo my calcs.

Thanks for that!

M.

[Cisco]

Mondrasek,


In your Extended ZED Model, you "decided to try and start with an ideal case where the ZED model I showed earlier was already stroked upwards the maximum of 2 inches."


Back in Post 321, Travis had written "Diameter of the inner chamber will dictate volume needed - keep your stroke length short - no more than one inch - (trust me) - will explain later."