Hydraulics and Fluid Mechanics in ME
The conditions for the stable equilibrium of a floating body are

the meta-center should lie above the center of gravity
the center of buoyancy and the center of gravity must lie on the same vertical line
all the above are correct
a righting couple should be formed

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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
ratio of inertial force to force due to gravitation
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

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