Water to a residential area is transported at a rate of 1.5 m³/s via 70-cm-internal-diameter concrete pipes with a surface roughness of 3 mm and a total length of 1500 m. In order to reduce pumping power requirements, it is proposed to line the interior surfaces of the concrete pipe with 2-cm-thick petroleum-based lining that has a surface roughness thickness of 0.04 mm. There is concern that reducing the pipe diameter to 66 cm and thereby increasing the average velocity may offset any gains from reducing roughness. Assuming values of p = 1000 kg/m² and v = 1 × 10* m³/s for water, determine the percent decrease (or increase) in the pumping power requirements due to frictional losses as a result of lining the concrete pipes.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Water to a residential area is transported at a rate of 1.5 m³/s via 70-cm-internal-diameter concrete pipes with a surface roughness of 3 mm and a total length of 1500 m. In order to reduce pumping power requirements, it is proposed to line the interior surfaces of the concrete pipe with 2-cm-thick petroleum-based lining that has a surface roughness thickness of 0.04 mm. There is concern that reducing the pipe diameter to 66 cm and thereby increasing the average velocity may offset any gains from reducing roughness. Assuming values of ρ = 1000 kg/m³ and ν = 1 × 10⁻⁶ m²/s for water, determine the percent decrease (or increase) in the pumping power requirements due to frictional losses as a result of lining the concrete pipes.
Transcribed Image Text:Water to a residential area is transported at a rate of 1.5 m³/s via 70-cm-internal-diameter concrete pipes with a surface roughness of 3 mm and a total length of 1500 m. In order to reduce pumping power requirements, it is proposed to line the interior surfaces of the concrete pipe with 2-cm-thick petroleum-based lining that has a surface roughness thickness of 0.04 mm. There is concern that reducing the pipe diameter to 66 cm and thereby increasing the average velocity may offset any gains from reducing roughness. Assuming values of ρ = 1000 kg/m³ and ν = 1 × 10⁻⁶ m²/s for water, determine the percent decrease (or increase) in the pumping power requirements due to frictional losses as a result of lining the concrete pipes.
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