Hydraulics and Fluid Mechanics in ME
Metacentre is the point of intersection of

All of these
vertical upward force through e.g. of body and center line of body
buoyant force and the center line of body
mid point between e.g. and center of buoyancy

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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 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

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Hydraulics and Fluid Mechanics in ME
The discharge over a rectangular weir, considering the velocity of approach, is (whereH1 = H + Ha = Total height of water above the weir, H = Height of water over the crest of the weir, and Ha = Height of water due to velocity of approach)

(2/3) Cd × L.√2g [H1 - Ha]
(2/3) Cd × L. √2g [H15/2 - Ha5/2]
(2/3) Cd × L.√2g [H12 - Ha2]
(2/3) Cd × L. √2g [H13/2 - Ha3/2]

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