Mathematical Analysis of an Ideal ZED

[mondrasek]

You've shown a bunch of numbers on a page.  That is less than useless.

Uselessless???

[MarkE]

And this one is when I drop that lift down to 2.590477mm

And the output is still above the loses

You have the same issue:  You've snapped a picture with a bunch of numbers on a page.  It's meaningless.  Anyone, including you are free to take the R4 spreadsheet, complete with its diagrams, descriptive text, and plain English algebraic formulas and evaluate it for errors.  You kept harping that there were supposed errors in the R4 spreadsheet but have not identified any such errors.  What you have also done is said that you cooked up some model where you double counted the up lift force on the riser walls.  Apparently, the plain English in the R4 spreadsheet was not something you understand.

[MarkE]

Uselessless???

Are you seeing double?

[MarkE]

You have an error in two lines in your state 3 air volume check.

Really?  And what would that supposed error be?

Happy now,, and that is besides the thickness thing which for the purpose of the spreadsheet does not matter, nor does the volume check error.

There is no error in riser wall thickness.  It represents exactly what the drawings show:  The thickness of the riser walls.  The volume check validates that the incompressible fluids did not change volume as they should not.

These are your numbers, I have taken the displaced volumes from your AR height calculations and your area calculations.

There is no way to know where these numbers come from, because all you have done is snapped a screen grab of a spreadsheet that you have modified.  It's funny how you keep publishing screen shots instead of the actual spreadsheets.  Is there something you don't want people to know?

I was making a sanity check on your numbers using volume displaced instead of pressure exerted.

Given that volume and pressure are entirely different things, your statement makes no sense.

IF your spreadsheet were correct I assumed that those numbers would be the same, they were not, so I looked further and found that the difference is with the upforce on the riserwall and I am not sure of what else.

Your assumptions betray you.

here is another add-on,, your lift force without the riserwall.

This one is with 1mm riser thickness.

You've published yet another picture of numbers on a page.  It's meaningless.

[MarkE]

Here is with the risers at 0mm

Oh boy!  You've posted another picture of numbers on a page.  That's more meaningless drivel.