Mathematical Analysis of an Ideal ZED

[mondrasek]

Let's start with your stipulation that in State 1 there is no uplift.  Is that or is that not your stipulation?

Of course.  There is no head difference between the ID and OD surface on any riser.  The pod has no water in contact with it at all.  So all risers and the pod are being acted on by zero buoyant Forces.  Also, the sum of the buoyant Forces on all the risers and the pod is exactly zero.  There are zero Forces acting on the system and therefore zero motion would occur.

BTW, this is not a "stipulation."  This is a physical fact derived from the geometry and the assumption of incompressible fluids.

[MT]

[size=78%]Not only does the two units of fluid on the right support the entire 13 units on the left, when you remove the two units from the right.... the liquid level only goes down a fraction of that input starting head height. Therefore you have a "net" production that does not reduce the "input" by nearly the same amount.[/size]

Hi TK,
I like your OU U-tube but where is OU? You compare force (input head) with work (net production). Recovering initial head will cost same energy you gained.
have a nice day,
MT

[mondrasek]

MarkE is referencing the surface area of the bottom of the risers being a place where force can be exerted, as well as the volume that the down-tube of the risers occupy.

Webby1, there is no resultant lift Force due to the water pressure on the bottom surface of the risers.  If you tried to push a riser upwards from the bottom surface of the risers you would be defeated by the requirement that the volume of one of the fluids in the system would have to change.  Since that is impossible, there is no resultant lift Force.  The system as drawn is in complete equilibrium.

[Magluvin]

The incompressible air has an ASSUMED Specific Gravity = 0.

What air is being used that is 'incompressible??

Mags

[MarkE]

What air is being used that is 'incompressible??

Mags

The "air" that Mondrasek stipulated as an incompressible, massless fluid is being used in the model.