-
A smooth pipe of diameter 200 mm carries water. The pressure in the pipe at section S1 (elevation: 10 m) ie 50 kPa, At section S2 (elevation: 12 m) the pressure is 20 kPa and velocity is 2 m/s. Density of water is 1000 kg/m3 and acceleration due to gravity is 9.8 ms–2, Which of the following is TRUE
-
- flow is from S1 to S2 and head loss is 0.53 m
- flow is from S2 to S1 and head loss is 0.53 m
- flow is from S1 to S2 and head loss is 1.06 m
- flow is from S2 to S1 and head loss is 1.06 m
- flow is from S1 to S2 and head loss is 0.53 m
Correct Option: C
At section S1
P1 = 50 kPa
z1 = 10 m
D = 200 mm,
l = 1000 kg/m3
V = 2 m/s
g = 9.8 m/s2
At section S2
P2 = 20 kPa
z2 = 12 m
Applying Bernoulli’s equation at two sections, we have
| + z1 = | + z2 + h2 | |||
| ρg | ρg |
where h2 = Loss of head from s1 to s2
| ∴ | + 10 = | + 12 + h2 | ||
| 103 × 9.81 | 103 × 9.81 |
⇒ h2 = 1.06
