A pump system is used to move water at a flow rate of 30 L/s from a lower to a higher reservoir in a city with an elevation of 1000 m above sea level. The system is shown schematically in the figure below, with ∆?=30 m. Both the suction and delivery pipes have a diameter of 150 mm and an absolute roughness of 0.3 mm. The lengths of the suction and delivery pipes are 6 and 500 m respectively. Ignore local losses and assume a temperature of 15 °C. a)Develop a mathematical expression for the system curve (i.e. the pumping head required as a function of the system flow rate) from basic principles. Name all mechanics principles implemented. b)Calculate the required pump working point. What is the flow regime of the pipe flow. c)What power does the pump add to the water in the system?
A pump system is used to move water at a flow rate of 30 L/s from a lower to a higher
reservoir in a city with an elevation of 1000 m above sea level. The system is shown
schematically in the figure below, with ∆?=30 m. Both the suction and delivery pipes
have a diameter of 150 mm and an absolute roughness of 0.3 mm. The lengths of the
suction and delivery pipes are 6 and 500 m respectively. Ignore local losses and assume a
temperature of 15 °C.
a)Develop a mathematical expression for the system curve (i.e. the pumping head
required as a function of the system flow rate) from basic principles. Name all
principles implemented.
b)Calculate the required pump working point. What is the flow regime of the pipe flow.
c)What power does the pump add to the water in the system?
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