Answered: Energy balance open system (hydraulic…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Energy balance open system (hydraulic turbine): Lake water contained by a dam is used to generate electricity as it is discharged from the dam through a hydraulic turbine (see the diagram for Example problem 7.7-3 (pg 379) for a system schematic. The pressure and elevation of the water in the turbine entrance conduit (pipeline) is 150 kPa and 25 m, while the pressure and negative elevation of the water in the turbine exit conduit is 101 kPa and 5 m. Assume the friction loss is zero and also that there is no change in kinetic energy of the water flow at the entrance and exit. Use the mechanical energy balance equation to calculate the power output of this hydraulic turbine.

(1)
ΔΡ
- +gAz
+gAz =
150 kPa
25m
Ws
5 m
im
ΔΡ
+ gAz
2)
w = ?
101 kPa

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How can I work this problem out using this equation?

ΔΡ Δυ
+
2
Mechanical energy balance:
+ gAz+ Ê =
(F = friction loss)
m

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