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

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

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Hydraulics and Fluid Mechanics in ME
Froude number is significant in

Simultaneous motion through two fluids where there is a surface of discontinuity, gravity forces, and wave making effect, as with ship's hulls
Supersonics, as with projectile and jet propulsion
All of the listed here
Full immersion or completely enclosed flow, as with pipes, aircraft wings, nozzles etc.

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