A 700 mm diameter water main runs horizontally for 1600 m and then branches into two...

  

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A 700 mm diameter water main runs horizontally for 1600 m and then branches into two 450 mm diameter pipes of 3000 m length each. In the first branch, the entire discharge is with-drawn at a uniform rate along its length due to the pipe being perforated uniformly. In the second branch, ½ the discharge entering the pipe is withdrawn at a uniform rate along it length, since the pipe is also perforated. Assume f = 0.025 for all of the pipes. The flow entering the 700 mm diameter pipe if 0.30 m^3/sec and the pressure at the outlet of the two branches is atmospheric. Compute the head loss between then entrance and the exit, as well as the head losses in the two pipe branches. Also, compute the volumetric flow rates in the two branches. Q, reduces to 0 Q, • C Q = 0.30 m/s (450 mm 3000 m 700 mm 1600 m Q2 • D Q, reduces to 0.5Q, 0.51 Ans. head loss in BC =3.274 m, head loss in BD = 3.274 m, head loss in AB = 1.77 m, Q1 = 0.171 m^3/s, Q2 = 0.129 m^3/sec A 700 mm diameter water main runs horizontally for 1600 m and then branches into two 450 mm diameter pipes of 3000 m length each. In the first branch, the entire discharge is with-drawn at a uniform rate along its length due to the pipe being perforated uniformly. In the second branch, ½ the discharge entering the pipe is withdrawn at a uniform rate along it length, since the pipe is also perforated. Assume f = 0.025 for all of the pipes. The flow entering the 700 mm diameter pipe if 0.30 m^3/sec and the pressure at the outlet of the two branches is atmospheric. Compute the head loss between then entrance and the exit, as well as the head losses in the two pipe branches. Also, compute the volumetric flow rates in the two branches. Q, reduces to 0 Q, • C Q = 0.30 m/s (450 mm 3000 m 700 mm 1600 m Q2 • D Q, reduces to 0.5Q, 0.51 Ans. head loss in BC =3.274 m, head loss in BD = 3.274 m, head loss in AB = 1.77 m, Q1 = 0.171 m^3/s, Q2 = 0.129 m^3/sec