Does the hydraulic flow rate of the tractor affect the ability to lift beyond what Kubota designed the loader for? Basically if you add new cylinders that can handle the additional weight can the tractor provide enough pressure to actually utilize it?
Building on what
@TheOldHokie @torch said, the hydraulic pressure created by the tractor's hydraulic pump remains the same, assuming I don't use shims to change the relief valve pressure.
The hydraulic flow
(volume of hydraulic fluid moved per unit of time) out of the tractor's hydraulic pump remains the same; in theory I could change out the pump, though that's something I'm not considering.
The Front End Loader lift cylinder diameter
is changing,
OEM is about 1-1/2" (1.54"), and the cylinders from
HydrosPlus are 1-3/4".
So the surface area of the piston that the hydraulic fluid pushes against increases:
pi * radius ^2
radius = 1/2 * diameter
OEM: 3.1415 * 1.54"/2 * 1.54"/2
=> 3.1415 x 0.77 * 0.77 = 1.86 square inches
HydrosPlus: 3.1415 * 1.75"/2 * 1.75"/2
=> 3.1415 x 0.875 * 0.875 = 2.41 square inches
2.41 / 1.86 - 1 = 30% increase in surface area.
So the tractor can lift about 30% more.
If the OEM cylinder is 1-1/2" instead of 1.54" then:
2.41 / 1.767 - 1 = 36% lifting ability increase.
Tests show about a 32% increase in lifting ability, so that's in the ballpark.
Hydraulic pressure P1 driving the OEM piston remains unchanged, so the pressure P2 driving the aftermarket cylinder is the same as P1:
P2 = P1,
P1 = P2
BUT, the piston area of the OEM cylinder is smaller than the piston area of the aftermarket, so the OEM effective lifting force F1 is less than aftermarket F2.
To the other part of your question, you can see the amount of hydraulic fluid used to push P2 is more than the amount used to push P1, in this case let's say P2 is 32% larger than P1, so:
P2 has 32% more lifting strength than P1
P2 uses 32% more fluid than P1
P2 lifts 32% slower than P1
Now, in real life P1 at maximum lifting force is stalling out and therefore lifting slower than if not lifting a load, and P2 being "32% stronger" is likely not stalling out and therefore lifting faster than P1
(maybe, in theory), but only near P1's maximum load capacity. If P1
(the OEM lift cylinders) are not near maximum load they should lift 32% faster than P2
(the aftermarket HydrosPlus cylinders).
Maths. There you have it in tech-nick-al terms, and stuff. Not saying it's right, but it looks all sciencey. And it has a color picture, can't beat that!
(Well, maybe two color pictures would beat it. And a graph. I should have included a graph.)