Hydraulics and Fluid Mechanics in ME
Froude number is significant in

Simultaneous motion through two fluids where there is a surface of discontinuity, gravity forces, and wave making effect, as with ship's hulls
Full immersion or completely enclosed flow, as with pipes, aircraft wings, nozzles etc.
All of the listed here
Supersonics, as with projectile and jet propulsion

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

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

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