Power transmitted through a pipeline with head loss Let w be the specific weight (N/m³), Q the discharge (m³/s), H the supply head and hf the frictional head loss. Select the correct expression for the power delivered at the outlet.
Mechanical Engineering
Hydraulics and Fluid Mechanics
Difficulty: Easy
Choose an option
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Aw × Q × H
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Bw × Q × hf
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Cw × Q × (H - hf)
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Dw × Q × (H + hf)
Answer
Correct Answer: w × Q × (H - hf)
Explanation
Concept/ApproachPower delivered equals weight flow rate times the available head at the outlet: P = w Q Hout = w Q (H - hf). Head loss reduces the usable head.
Final Answerw × Q × (H - hf)