Hydraulics & Fluid Mechanics
The line of action of the buoyant force acts through the

centriod of the displaced volume of fluid
centroid of the volume of fluid vertically above the body
center of gravity of any submerged body
center of the volume of floating body

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Hydraulics & Fluid Mechanics
Two dimensional flow occurs when

the velocity of successive fluid par-ticles, at any point, is the same at suc-cessive periods of time
the direction and magnitude of the velocity at all points are identical
the fluid particles move in plane or parallel planes and the streamline pat-terns are identical in each plane
the magnitude and direction of the velocity do not change from point to point in the fluid

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Hydraulics & Fluid Mechanics
For laminar flow in a pipe of circular cross-section, the Darcy’s friction factor f is

inversely proportional to Reynolds number and indpendent of pipe wall roughness
inversely proportional to Reynolds number and directly proportional to pipe wall roughness
directly proportional to pipe wall roughness and independent of Reynolds number
directly proportional to Reynolds number and independent of pipe wall roughness

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