I forgot about the 50 PSI spec. . .
Here's a similar problem:
"I have a 1 1/2 inch pipe making 7.6 gpm, Im trying to figure out what the PSI is to see how much volume I will loose if I increase pressure with say a 3/4 line
2 years ago
Additional Details
the length is 200 ft + or - with an increase of 70 feet from bottom to top.
"The head loss due to elevation is what you will also have to cover. (1) psi is equal to 2.307 feet in elevation, so 70 feet equals 29.5 psi.
Note, if you have a flow element for control in the line, that could add 3 to 5 psi to the overall head loss. Also, globe valves have a high pressue drop also.
Then when you add all the loses up (29.5 psi for elevation + pipe losses + valves looses), add an additinal 10 to 15% for a safety factor and you got it.
Edit:
Assuming water at 55 Deg F, Schedule 40 Carbon Steel Pipe, straight run of pipe with no control valve, the total head loss is 71 feet, (30 psi)
Same assumptions, going to a 3/4" pipe, the head loss goes up to 101 feet, (43.8 psi)"
so according to this, your pump needs to deliver >100 GPM at an apparent head of (>50psi/14.7psi)x32' + 27' = >136'.
Might take 10 hp, 10 to 15 kw., 40 to 60A at 240v.
How far you have to ship these kilowatts? 80'?
As pipe size goes ∧ pipe co$t goes ∧ but pump size goes ∨ and wire cost goes ∨
for the same GPM and PSI for your configuration.
Using graphs, find the minimum cost
pipe size/pump size/wire size solution.