Not a subject I know anything about, but I could have a go. I think a bower is a large scale mixer or disperser of fluids, often used in food processing. Is that right ? I also guessed that c f m = cubic feet per minute Not sure if info given allows one to calculate cubic feet per minute output for your 1175 r.p.m bower as I would think the pitch of the fan blades would affect how much it pushes through and long pipe lengths suggest that local pressures could be significant. Rather than make a bad attempt at Bernoulli's equation I would suggest that the following 2 simple ideas might help.
1) Identify manufacturer of your particular bower and use Google to find the specifications. OR
2) Do a trial run with something harmless such as water and collect product in a large cylindrical vessel. Use "volume collected = 3.14 x radius (in feet) squared x depth of liquid (in feet)" to see how much collected in 60 seconds or other convenient time.
Then cfm = (volume in cubic feet)/(time in mins) Sorry if this was not what you were hoping for. Your info was rather sparse. Regards - Ian