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I am trying to develop the size for an air compressor to fill up a train braking sytem. I have equations for most of the system, but I can not find a relationship for the flow rate of the air through the entry point as the system fills with air.

The train pipe is 8,000 feet long, 1.25" Schedule 80 steel. It is initially at 0 psig, while the connection point is 90 psig. Considered isothermal, I've been using the equation:

P

_{1}

^{2}- P

_{2}

^{2}= [ M

^{2}RT / gA

^{2}] * [fL / D + 2 Ln (P

_{1}/P

_{2}) ]

Solving for the equation, I'm coming up with:

M = 0.1673 LB/s

Q = 17.1 CFM

v = 32.1 ft/s

The flow rate just seems too low, and that's why I question the equation I'm using. When the 90 psig is connected to the 0 psig, air should be rushing in (I'm thinking between 150 & 200 CFM), right?

Any thoughts or suggestions? Would be much appreciated.