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
ratio of inertial force to force due to gravitation
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
When a body is placed over a liquid, it will sink down if

Gravitational force is less than the up-thrust of the liquid
Gravitational force is equal to the up-thrust of the liquid
None of these
Gravitational force is more than the up-thrust of the liquid

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