Fluid Mechanics
Bernoulli's Equation
GATE 2016
Medium
A pump curve is ΔHpump=43.8−0.19Q; the piping frictional head loss is ΔHpiping=0.0135Q²+0.045Q (Q in m³/h). The flowrate (m³/h), rounded to 1 decimal place, is
48.9 m^3/h(± 0.5 accepted)
Explanation
Setting curves equal: 0.0135Q²+0.235Q−43.8=0. Q=[−0.235+√(0.0552+2.365)]/0.027=48.9 m³/h.
Source: GATE CH 2016 (2016)
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