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Fluid Mechanics
Bernoulli's Equation & Flow
GATE 2007
Medium

A model of a hydraulic turbine is tested at a head of 1/4th of that under which the full scale turbine works. The diameter of the model is half of that of the full scale turbine. If N is the RPM of the full scale turbine, then the RPM of the model will be

  • AN/4
  • BN/2
  • N
  • D2N

Explanation

Unit-speed similarity requires N·D/√H = constant. N_model = N×(D/D_model)×√(H_model/H) = N×2×√(0.25) = N×2×0.5 = N.

Source: GATE ME 2007 (2007)

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