Hydraulics and Fluid Mechanics in ME
Mach number is significant in

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

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Hydraulics and Fluid Mechanics in ME
Meta-centric height is given as the distance between

The center of gravity of the body and the metacenter
The center of gravity of the body and the center of pressure
The center of gravity of the body and the center of buoyancy
Center of buoyancy and metacenter

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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 viscosity
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 surface tension

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