d=0.1m Length of siphon =5000m Length of siphon upto summit =2000m Friction Factor, f=0.02 Acceleration due to gravity, g=9.81m/sec2 Applying Energy equation between point 1 and 3 to get
P1
γ
+
V12
2g
+Z1=
P3
γ
+
V22
2g
+Z3+hf(1−3) 10.3+0+Z1=10.3+0+Z3+
flQ2
12.1d5
[From Darcy Weisbas equation h=
flQ2
12.1d5
⇒5=
0.02×5000×Q2
12.1×(.1)5
[∵Z1−Z3=5m] ⇒Q=2.4597×10−3m3/sec Now applying energy equation between 1 and 2 to get