Mathematical Analysis of an Ideal ZED

[TinselKoala]

OK, thank you both for making your descriptions explicit.

So we are agreed that the "flow assist" doesn't directly assist flow, but represents a hydraulic piston pushing/pulling on the rocking framework to assist or "work with" the rocking. And the flow that is being assisted is NOT the hydraulic fluid but rather the flow of water into and out of the bag of each Zed. SO the total volume of the water in each Zed is changing but is reset to the start value on every cycle. Right so far?

Now, since each of these steps can be demonstrated to be lossy, due to things like viscous fluid friction, the non-optimal geometry that produces bending and off-center loads, and so forth, just where in this system can extra energy be produced, without adding more volume or pressure from the outside of what is diagrammed?

[mondrasek]

OK, thank you both for making your descriptions explicit.

So we are agreed that the "flow assist" doesn't directly assist flow, but represents a hydraulic piston pushing/pulling on the rocking framework to assist or "work with" the rocking. And the flow that is being assisted is NOT the hydraulic fluid but rather the flow of water into and out of the bag of each Zed. SO the total volume of the water in each Zed is changing but is reset to the start value on every cycle. Right so far?

My answer is yes.

Now, since each of these steps can be demonstrated to be lossy, due to things like viscous fluid friction, the non-optimal geometry that produces bending and off-center loads, and so forth, just where in this system can extra energy be produced, without adding more volume or pressure from the outside of what is diagrammed?

My guess is in the transformation of the ZED from State 2 to State 3 somehow.  It appears to be changing from an UU construction to one with OU potential AFAICS.

And this is one of my weird theories (that you can disregard at anytime).  Remember when you were teaching me that the "red box" needs to be defined by the air/water barrier in the outer annulus (which changes height from State to State)?  I have come to agree with you on that.  Because the Volume of that "red box" must obviously change to include the Volume of the added water when charging from State 1 to State 2.

Here is what I have been thinking about the change from State 2 to State 3.  The aspect ratio of the SUT changes.  IE the height to width ratio changes.  And my hypothesis now is that the increase in height, at the expense of width, explains the "supposed" increase in Energy.  This would be because an increase in height increases the Energy available in a column of water due to gravity.

What do you think?

M.

PS.  I am waiting on "MarkE" to respond to my recent posts to him.  But he may be busy. 

Do you think I should go ahead and Analyze his State 3 as I re-posted it, or wait until he is available again?

[mondrasek]

While my previous post was serious, this is not: http://www.youtube.com/watch?v=aEjKk5Kt3rs

[mondrasek]

IMHO.

It is a 3 step full cycle, 2 short steps and 1 long step.

You have rest to lift ready, short
Then you have lift ready to end of lift, short
Then you have recovery, long

The lift force is reduced by the move from rest to lift ready, as TK likes to put it the Bollard. 

What you can not to with the Bollard is to use the spring that lifted the Bollard up to compress the spring under another one after it lifted the first one, nor can you drop the Bollard without compressing the spring and have the spring help the next lift of that Bollard.

With the Bollard the recovery is dropping the Bollard back down compressing its own spring, in the ZED there is one "spring force" that is shared between 2 ZEDS.  This "spring force" is a little weak to be able to lift the next ZED by itself, so it uses a little help to lift a larger load, just like the Bollard.  The Bollard spring is not strong enough to lift the Bollard by itself so it to uses a little help to lift the Bollard.

The "spring force" is added into the ZED system after setup is complete.  This addition of input to create the "spring force" is a one time add.

I am inclined to agree.  It is not the lift that is OU.  It is the return to the starting condition (due to gravity) that is supplied "for free" due to this process occurring within an acceleration field (ie. gravity).

Obviously gravity only pulls two masses closer together, right?  So gravity cannot be adding any Energy to a ZED system when it is stroking (two masses being pressed apart).  The energy has to come from outside the system.

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Sorry, but I got distracted and need to leave this post for the time being.

[mondrasek]

The last time I was in the UK the President of the company that I was dispatched to (they were not pleased by my employer's performance at all!) started a meeting by writing this on a "white board":

WTFAW

He said the meeting was a WTFAW meeting.  That was shortly later explained to me to mean: Where The F**K Are We?

That guy was a "righteous dude."  Had several pints with him that week.

And so (since I've been distracted), WTFAW?

M.