A gardener is thinking of installing piping system for watering the plants in his garden located near a water reservoir. The reservoir is located at an elevation of 150 m above from the surface, as shown in figure.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A gardener is thinking of installing piping system for watering the plants in his garden located
near a water reservoir. The reservoir is located at an elevation of 150 m above from the surface,
as shown in figure.
Pipe inlet (Sharp-odgel)
Water Reservoir
Smooth bends (Flangod)
150 m
Gate valve (fully opened)
Pipe exit (Sharp-odged)
The diameter of pipe (cast iron) is constant equal to 15 cm and total length of pipe is 180 m. It is
desirable that the exit velocity of water to the garden should not exceed 5 m/sec and water is at
atmospheric pressure and temperature is 20°C. Solve the following cases:
Case 1
The gardener is planning to open the valve for 3 hours daily. Calculate the followings:
a) How much volume of liquid can be drawn from reservoir in a day?
b) How much total irreversible head loss will be occurred in the system?
Transcribed Image Text:A gardener is thinking of installing piping system for watering the plants in his garden located near a water reservoir. The reservoir is located at an elevation of 150 m above from the surface, as shown in figure. Pipe inlet (Sharp-odgel) Water Reservoir Smooth bends (Flangod) 150 m Gate valve (fully opened) Pipe exit (Sharp-odged) The diameter of pipe (cast iron) is constant equal to 15 cm and total length of pipe is 180 m. It is desirable that the exit velocity of water to the garden should not exceed 5 m/sec and water is at atmospheric pressure and temperature is 20°C. Solve the following cases: Case 1 The gardener is planning to open the valve for 3 hours daily. Calculate the followings: a) How much volume of liquid can be drawn from reservoir in a day? b) How much total irreversible head loss will be occurred in the system?
Case 2
The gardener is thinking of installing a turbine in the system to produce electricity in parallel.
The installation cost of the system given by the company is $10,000. The modified system is
shown in figure:
Pipe inlet (Sharp-edged)
Water Reservoir
Smooth bends (Flanged)
150 m
Gate valve (fully opened)
Pipe exit (Sharp-edged)
a) How much income can be generated per month from electricity?
b) How many months will it take to recover its total cost of installation?
The installed generator-turbine efficiency is expected to be 80 percent and unit price of
electricity is $0.05/kWh. The running time of the system is same as stated in case 1.
Transcribed Image Text:Case 2 The gardener is thinking of installing a turbine in the system to produce electricity in parallel. The installation cost of the system given by the company is $10,000. The modified system is shown in figure: Pipe inlet (Sharp-edged) Water Reservoir Smooth bends (Flanged) 150 m Gate valve (fully opened) Pipe exit (Sharp-edged) a) How much income can be generated per month from electricity? b) How many months will it take to recover its total cost of installation? The installed generator-turbine efficiency is expected to be 80 percent and unit price of electricity is $0.05/kWh. The running time of the system is same as stated in case 1.
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