Question:-
A smooth pipe of diameter 200mm carries water. The pressure in the pipe at section S1 (elevation: 10m) is 50kPa. At Section S2 (elevation: 12m) the pressure is 20kPa and velocity is 2ms-1. Density of water is 1000kgm-3 and acceleration due to gravity is 9.8ms-2. Which of the following is TRUE?
Option (A)
flow from S1 to S2 and head loss is 0.53m
Option (B)
flow from S2 to S1 and head loss is 0.53m
Option(C)
flow from S1 to S2 and head loss is 1.06m
Option(D)
flow from S2 to S1 and head loss is 1.06m
Correct Option:
(C)
Question Solution:
At Section S1 :

P1 = 50KPa

Z1 = 10m

At Section S2 S2 :

P2 = 20 KPa

Z2 = 12m

D = 200mm, r = 1000kg/m3, v=2m/s & g = 9.8/s2

Apply Bernouli’s equation at two section

(p1 /eg) + Z1 = (P2 /eg) + Z2 + h2

{(50x103) / (1000x9.81)} + 10 = {(20x103) / (1000x9.81)} + 12 + h2

15.09 = 14.03 + h2, h2 = 1.06m

Head loss occurs in the direction 1-2. Therefore flow is from S1 to S2 and head loss is 1.06m
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