Water at 20◦C flows from point A to point B through three cast iron pipes in series at a flowrate of 0.9 m3 /sec, as illustrated in Figure EP 8.16. The pipe system contains three single pipes, one sudden pipe contraction, and one sudden pipe expansion. The first pipe is 0.8 m in diameter and 200 m long. The second pipe is 0.4 m in diameter and 50 m long. The third pipe is 0.6 m in diameter and 60 m long. The pressure at point A is 17 × 105 N/m2 , and the pressure at point B is 15 × 105 N/m2 ; the pressure drop, Δp is due to the pipe friction, pipe components, difference in elevation, and change in velocity between points A and B. Assume the Darcy–Weisbach friction factor is chosen to model the flow resistance. (a) Determine the flow regime. (b) Determine the total head loss due to pipe friction and pipe components between points A and B. (c) Determine the difference in elevation between points A and B.
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