Hydraulics and Fluid Mechanics in ME
The speed of a turbine runner is

Inversely proportional to H3/2
Directly proportional to H3/2
Inversely proportional to H1/2
Directly proportional to H1/2

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Hydraulics and Fluid Mechanics in ME
For similarity, in addition to models being geometrically similar to prototype, the following in both cases should also be equal

ratio of inertial force to force due to surface tension
ratio of inertial force to force due to viscosity
ratio of inertial force to force due to gravitation
all the four ratios of inertial force to force due to viscosity, gravitation, surface tension, and elasticity

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