GATE CE 2016 Set 2 — Question 58
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Water Resources Engineering → Fluid Kinematics & Dynamics → Energy Equation
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Question
A penstock of 1 m diameter and 5 km length is used to supply water from a reservoir to an impulse turbine. A nozzle of 15 cm diameter is fixed at the end of the penstock. The elevation difference between the turbine and water level in the reservoir is 500 m. Consider the head loss due to friction as 5% of the velocity head available at the jet. Assume unit weight of water = 10 and acceleration due to gravity () = 10 . If the overall efficiency is 80%, power generated (expressed in kW and rounded to nearest integer) is _______________
Correct answer
6560 to 6580
Solution
Given:
Gross head m
Nozzle diameter m
Head loss , where is the jet velocity.
Unit weight of water
Gravity
Overall efficiency Total head equation:
Net head () is the velocity head at the jet:
m.Jet velocity ():
m/s.Discharge ():
.Power generated ():
kW.Rounding to the nearest integer, the power generated is 6570 kW.
Gross head m
Nozzle diameter m
Head loss , where is the jet velocity.
Unit weight of water
Gravity
Overall efficiency Total head equation:
Net head () is the velocity head at the jet:
m.Jet velocity ():
m/s.Discharge ():
.Power generated ():
kW.Rounding to the nearest integer, the power generated is 6570 kW.
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