RepG's Print-o-Matic uses the following formula to compute the flow rate
(area of extruded noodle) * (length/second) * (60 second/minute)
--------------——
(area of filament) * fudge * (length of filament/revolution of gear)
fudge is 0.85 for ABS and 1.00 for PLA.
nozzle diameter used for area of extruded noodle (pi * d * d / 4)
feed rate (mm/s) used for length/second of extruded noodle
filament diameter used for area of filament (pi * d * d / 4)
diameter of gear used for length of filament/revolution of gear (e.g., the circumference, pi * d)
So, as you can see if you increase the feed rate by a multiplicative factor X,
then the flow rate increases by the same factor X.
Notes:
Odd thing is that RepG uses a default of 10.58 mm for the gear diameter BUT all the docs for the pinch gear state 10.56 mm (and I measured mine closer to 10.53 mm).
While RepG uses the nozzle diameter for the area of the extruded noodle, the extruded noodle actually has a larger diameter owing to extrudate swelling (aka, die swelling). You may get better results measuring the diameter of the extruded noodle at the target feed rate (the swelling is feed rate dependent).
Dan