Francis turbine: Definition of speed ratio. Speed ratio is defined relative to the runner peripheral (rim) speed at inlet and the ideal jet/stream velocity √(2gH). State whether the given definition is correct. Choose the correct option.

Mechanical Engineering Hydraulic Machines Difficulty: Easy
Choose an option
  • A
    Correct — speed ratio = theoretical jet velocity / peripheral speed
  • B
    Incorrect — speed ratio = peripheral speed / theoretical jet velocity (u / √(2gH))
  • C
    Depends on specific speed; no fixed definition
  • D
    Valid only for Pelton wheels, not Francis turbines

Answer

Correct Answer: Incorrect — speed ratio = peripheral speed / theoretical jet velocity (u / √(2gH))

Explanation

Definition

  • For reaction turbines (e.g., Francis), speed ratio φ = u / √(2 g H), where u is runner peripheral speed and √(2 g H) is the ideal velocity head equivalent.

ReasoningThe statement reverses numerator and denominator. The correct ratio places runner speed in the numerator.

Final AnswerIncorrect — speed ratio = u / √(2gH)

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