The surface area of the push pin, which does the actual work of opening the HP seat does not change, if you increase the surface area of the diaphram and apply the same force to it, the force on the push pin must go up .....think about it, if increasing the surface area of a diaphram did not increase the force it applies second stage diaphrams could be made tiny-a 1 inch one would do the same work as a 6 inch one. Go back and read (I did last night
) the sections on force in Reg Savvy.
Please keep this civil. I am not missing the complete picture. Of course the total pressure on the diaphragm increases with it's size. That's basic. The thing that I can't seem to get you to understand is that if the interior size is the same as the exterior size, then the pressure must equalize on each side. I'm frustrated that you can't seem to agree with this. This can only mean that any increase on the exterior of the diaphragm is met by an equal increase on the interior. This, in fact, is how the increase in ambient is equalized with an equal increase in IP. The force on the pin is the exterior ambient force (plus spring) MINUS the interior force (IP).
Go back and look at the very simple numbers that you presented. If a diaphragm has a surface area of 2 square inches, and you increase the depth so that you get an increase of ambient of 1 PSI, the total force on the diaphragm's exterior is 2 lbs. That's right from your example.
Okay, so the interior surface of the diaphragm must produce 2 lbs of pressure to keep the diaphragm from collapsing and pushing the pin which opens the valve. Right? That's IP, you already know this. What you seem to refuse to accept is that the interior surface of that same diaphragm is also 2 square inches, and in order to exert 2 lbs of force on a surface area of 2 square inches, you need to raise the pressure 1 PSI, which is what happens to IP to keep the valve closed.
Lets try 10 square inches. Descend to get your 1 PSI increase in ambient, you get 10lbs of force pushing this big diaphragm in. But, since the interior surfaced is also 10 sq", guess how much pressure increase you need...1 PSI, applied to that 10 sq", is 10 lbs total force, and the diaphragm stays put.
Look, we've both been around this forum a long time, and I hope you realize that this argument is nothing personal; I'd like to keep it that way.