Turbine runner speed–head relation For dynamically similar turbines, how does runner speed N vary with available head H? Assume unit-speed similarity criteria apply. Choose the correct proportionality.
Mechanical Engineering
Hydraulic Machines
Difficulty: Easy
Choose an option
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AN ∝ H<sup>1/2</sup>
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BN ∝ H<sup>−1/2</sup>
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CN ∝ H<sup>3/2</sup>
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DN ∝ H<sup>−3/2</sup>
Answer
Correct Answer: N ∝ H<sup>1/2</sup>
Explanation
Concept Unit speed Nu = N / √H (constant for similar operation).
Result Therefore N ∝ √H = H1/2.
Final AnswerN ∝ H1/2