A high reservoir holds water. Water travels from this reservoir down via a big conduit to a turbine and then down a second, similar-sized conduit to create electricity. The pressure is 172.4 kPa at a location in the conduit 89.5 m above the turbine and 89.6 kPa at a level 5 m below the turbine. The flow rate of water is 0.800 m3/s. The turbine's shaft produces 658 kW of power. The density of water is 1000 kg/m3. Calculate the friction loss in the turbine in J/kg if the turbine's efficiency in transferring the mechanical energy given up by the fluid to the turbine shaft is 89 percent (t = 0.89). It is worth noting that in the mechanical-energy-balance equation, Ws equals the output of the turbine's shaft multiplied by t.

A high reservoir holds water. Water travels from this reservoir down via a big conduit to a turbine and then down a second, similar-sized conduit to create electricity. The pressure is 172.4 kPa at a location in the conduit 89.5 m above the turbine and 89.6 kPa at a level 5 m below the turbine. The flow rate of water is 0.800 m3/s. The turbine's shaft produces 658 kW of power. The density of water is 1000 kg/m3. Calculate the friction loss in the turbine in J/kg if the turbine's efficiency in transferring the mechanical energy given up by the fluid to the turbine shaft is 89 percent (t = 0.89). It is worth noting that in the mechanical-energy-balance equation, Ws equals the output of the turbine's shaft multiplied by t.

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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Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

A high reservoir holds water. Water travels from this reservoir down via a big conduit to a turbine
and then down a second, similar-sized conduit to create electricity. The pressure is 172.4 kPa at
a location in the conduit 89.5 m above the turbine and 89.6 kPa at a level 5 m below the turbine.
The flow rate of water is 0.800 m3/s. The turbine's shaft produces 658 kW of power. The density
of water is 1000 kg/m3. Calculate the friction loss in the turbine in J/kg if the turbine's efficiency
in transferring the mechanical energy given up by the fluid to the turbine shaft is 89 percent (t =
0.89). It is worth noting that in the mechanical-energy-balance equation, Ws equals the output of
the turbine's shaft multiplied by t.
Note: Use the equation provided below
MECHANICAL ENERGY BALANCES
W s
+ gAz + F =
AP
F = AÛ
• For frictionless processes in which no shaft work is performed, the
mechanical energy balance is reduced to:
ΔΡ
Au²
gAz = 0
Bernoulli Equation

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