Hydraulics and Fluid Mechanics in ME
The discharge through a channel of trapezoidal section is maximum when

The sloping side is equal to half the width at the top
The sloping side is equal to the width at the bottom
Depth of channel is equal to the width at the bottom
Width of channel at the top is equal to twice the width at the bottom

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Hydraulics and Fluid Mechanics in ME
The depth of centre of pressure (h) for a vertically immersed surface from the liquid surface is given by (where IG = Moment of inertia of the immersed surface about horizontal axis through its centre of gravity, A = Area of immersed surface, and x = Depth of centre of gravity of the immersed surface from the liquid surface)

(IG/x̅) - Ax̅
(Ax̅/IG) + x̅
(IG/Ax̅) - x̅
(IG/Ax̅) + x̅

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Hydraulics and Fluid Mechanics in ME
A compound pipe is required to be replaced by a new pipe. The two pipes are said to be equivalent, if

Loss of head and discharge of both the pipes is same
Loss of head and velocity of flow in both the pipes is same
Length of both the pipes is same
Diameter of both the pipes is same

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