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

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Hydraulics and Fluid Mechanics in ME
Reynolds number is significant in

simultaneous motion through two fluids where there is a surface of dis-continuity, gravity forces, and wave making effect, as with ship’s hulls
All of these
supersonics, as with projectile and jet propulsion
full immersion or completely enclosed flow, as with pipes, aircraft wings, nozzles etc

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Hydraulics and Fluid Mechanics in ME
Mach number is significant in

simultaneous motion through two fluids where there is a surface of dis-continuity, gravity force, and wave making effects, as with ship’s hulls
supersonics, as with projectiles and jet propulsion
all of fhe above
full immersion or completely enclosed flow, as with pipes, aircraft wings, nozzles etc

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