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What power must be supplied by the pump to the flow if water is pumped through the 200-mm steel pipe (e = 0.046 mm) from the lower tank to the upper one at a rate of 0.314 m /s? The entrance, bend and exit loss coefficient, respectively is 0.5, 0.3, and 1.0. %3D

What power must be supplied by the pump to the flow if water is pumped through the 200-mm steel pipe (e = 0.046 mm) from the lower tank to the upper one at a rate of 0.314 m /s? The entrance, bend and exit loss coefficient, respectively is 0.5, 0.3, and 1.0. %3D

Elements Of Electromagnetics
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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**Problem Statement:** What power must be supplied by the pump to the flow if water is pumped through the 200-mm steel pipe (ε = 0.046 mm) from the lower tank to the upper one at a rate of 0.314 m³/s? The entrance, bend, and exit loss coefficients are 0.5, 0.3, and 1.0, respectively. **Diagram Explanation:** A schematic is presented showing a water pump system: - **Lower Tank:** - Located at an elevation of 200 m. - Water is initially drawn from this tank. - **Upper Tank:** - Positioned at an elevation of 245 m. - Receives water from the lower tank through the pipeline system. - **Pipeline System:** - Composed of steel pipe with a diameter of 200 mm. - Roughness (ε) is 0.046 mm. - Initial horizontal section of the pipe runs 100 m. - After a bend, it rises vertically 50 m to reach the upper tank. - Horizontal distance to the tank is also noted as 10 m (though vertical rise is more critical here). - **System Details:** - Water is moved from the lower to the upper tank using a pump. - Flow rate is specified at 0.314 m³/s. - Loss Coefficients: - Entrance: 0.5 - Bend: 0.3 - Exit: 1.0 The question asks to calculate the power required by the pump to maintain this flow, taking into account the height difference and loss coefficients that result in energy losses in the system.
Transcribed Image Text:**Problem Statement:** What power must be supplied by the pump to the flow if water is pumped through the 200-mm steel pipe (ε = 0.046 mm) from the lower tank to the upper one at a rate of 0.314 m³/s? The entrance, bend, and exit loss coefficients are 0.5, 0.3, and 1.0, respectively. **Diagram Explanation:** A schematic is presented showing a water pump system: - **Lower Tank:** - Located at an elevation of 200 m. - Water is initially drawn from this tank. - **Upper Tank:** - Positioned at an elevation of 245 m. - Receives water from the lower tank through the pipeline system. - **Pipeline System:** - Composed of steel pipe with a diameter of 200 mm. - Roughness (ε) is 0.046 mm. - Initial horizontal section of the pipe runs 100 m. - After a bend, it rises vertically 50 m to reach the upper tank. - Horizontal distance to the tank is also noted as 10 m (though vertical rise is more critical here). - **System Details:** - Water is moved from the lower to the upper tank using a pump. - Flow rate is specified at 0.314 m³/s. - Loss Coefficients: - Entrance: 0.5 - Bend: 0.3 - Exit: 1.0 The question asks to calculate the power required by the pump to maintain this flow, taking into account the height difference and loss coefficients that result in energy losses in the system.
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