A 500mm diameter pipeline discharges water from a large reservoir. Determine the maximum possible elevation of its summit at B for a discharge of 2. 15m3/s without the absolute pressure becoming less than 20 KN/m2. Take atmospheric pressure as 10^6
Pabs = P(atm) + P(gauge)
=20×103
Pabs,B = 9810 = 2.038 m
Patm = 10.3m
Pgauge,B = 2.038 − 10.3 = −8.26m
Q=AV→V=Q= 2.15 =10.95m/s
"=A \u03c0^4\u00d70.52"
Applying Bernoulli’s equation between the points A and B.
PA VA2 PB VB2
ρg+2g+zA =ρg+2g+zB +∑hL
"z_C =6.11m"
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