Hydraulics and Fluid Mechanics in ME
For hydro-dynamically smooth boundary, the friction coefficient for turbulent flow is

a function of Reynolds number and relative roughness
dependent only on Reynolds number
constant
dependent on relative roughness only

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

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