well i knew 319 liters per minute was too good to be true. damn me and my late night figuring. i think i was way off.
so this should help visualize things. that picture represents dimensions of a single cylinder.
the math is as follows:
volume of the cylinder equals pi R squared times height, and R equals half the diameter. so the are of the top face of the cylinder is 3.14159265358979 x 2.54cm x 2.54cm, which equals 20.268299163899889164 square centimeters (note that ive decided to convert to the metric system.... just because i like it better). the area times the height equals 20.268299163899889164 x 7.62cm, which is 154.44443962891715542968 cubic centimeters, or millileters. 1 cubic cm equals 1 milliliter.
so ideally one cylinder will pump 154.4ml per stroke (0.1544 liters). then over 30 strokes (the 30rpm) this equals about 4.63 liters per minute. this turns out to be about a quarter of what i need.
i cant make the cylinder bigger because thats just getting too large. the only thing i can do is increase the number of cylinders and speed. i dont want to go too fast, so im limiting the rpm to 60 at most. this doubles the flow rate to about 9.26 liters per minute, but its still not really enough. i may need up to 12 cylinders after looking at the PROPER figures now. looks like the radial design is the way to go after all.
god, only i can disappoint myself like this. its a good thing i know not to trust my first reactions and wait a day. that also probably why most of my designing turns out to be retarded.