Power–head relationship in reaction turbines For a reaction turbine working under a given set of geometric and efficiency conditions, how does the power produced relate to the head of water? Choose the correct completion.

Mechanical Engineering Hydraulic Machines Difficulty: Easy
Choose an option
  • A
    Is inversely proportional to head
  • B
    Is directly proportional to head
  • C
    Is independent of head
  • D
    Varies with the square of head

Answer

Correct Answer: Is directly proportional to head

Explanation

ConceptShaft power ≈ ηoverall · ρ g Q H.

ReasoningFor similar operating conditions (η and Q appropriately related), power scales with head H. At fixed discharge, power is directly proportional to H.

Final AnswerIs directly proportional to head.

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