Hydraulics and Fluid Mechanics in ME
Reynolds number is significant in

simultaneous motion through two fluids where there is a surface of dis-continuity, gravity forces, and wave making effect, as with ship’s hulls
All of these
supersonics, as with projectile and jet propulsion
full immersion or completely enclosed flow, as with pipes, aircraft wings, nozzles etc

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Hydraulics and Fluid Mechanics in ME
Mechanical efficiency of a centrifugal pump is the ratio of

Energy available at the impeller to the energy supplied to the pump by the prime mover
Manometric head to the energy supplied by the impeller per kN of water
Energy supplied to the pump to the energy available at the impeller
Actual work-done by the pump to the energy supplied to the pump by the prime mover

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