In a large student house in Sheffield, cold water is supplied by the mains water supply at a pressure of 2 bar, gauge, and at a temperature 10°C. A wash basin cold tap is located 3 meters above the mains supply, connected to the mains pipe with a copper pipe of internal diameter 15 mm and length 12 meters. When the tap is opened the flow rate of water out of the tap is 24 litres per minute, creating a Fanning friction factor in the pipe of 0.008. a) Calculate the Reynolds number of the water in the pipe and determine if it is laminar or turbulent. b) Calculate the pressure loss from friction, change in elevation, and hence the pressure of the water just before entering the tap. c) Name two assumptions that have been made in order to arrive at your answer to part b) and state if these assumptions under or over predict the pressure of the water just before entering the tap. d) If the value were not given, what procedure would be needed to determine the Fanning friction factor?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question B2 – Internal Flow
In a large student house in Sheffield, cold water is supplied by the mains water
supply at a pressure of 2 bar, gauge, and at a temperature 10°C. A wash basin cold
tap is located 3 meters above the mains supply, connected to the mains pipe with a
copper pipe of internal diameter 15 mm and length 12 meters. When the tap is
opened the flow rate of water out of the tap is 24 litres per minute, creating a
Fanning friction factor in the pipe of 0.008.
a)
Calculate the Reynolds number of the water in the pipe and determine if it is
laminar or turbulent.
Calculate the pressure loss from friction, change in elevation, and hence the
b)
pressure of the water just before entering the tap.
c)
Name two assumptions that have been made in order to arrive at your answer
to part b) and state if these assumptions under or over predict the pressure of
the water just before entering the tap.
d)
If the value were not given, what procedure would be needed to determine the
Fanning friction factor?
Transcribed Image Text:Question B2 – Internal Flow In a large student house in Sheffield, cold water is supplied by the mains water supply at a pressure of 2 bar, gauge, and at a temperature 10°C. A wash basin cold tap is located 3 meters above the mains supply, connected to the mains pipe with a copper pipe of internal diameter 15 mm and length 12 meters. When the tap is opened the flow rate of water out of the tap is 24 litres per minute, creating a Fanning friction factor in the pipe of 0.008. a) Calculate the Reynolds number of the water in the pipe and determine if it is laminar or turbulent. Calculate the pressure loss from friction, change in elevation, and hence the b) pressure of the water just before entering the tap. c) Name two assumptions that have been made in order to arrive at your answer to part b) and state if these assumptions under or over predict the pressure of the water just before entering the tap. d) If the value were not given, what procedure would be needed to determine the Fanning friction factor?
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