Froude's number is defined as the ratio of

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MPPSC AE Civil Engineering 2021 Official Paper
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  1. Inertia force to viscous force
  2. Square root of inertia force to pressure force
  3. Square root of inertia force to gravity force
  4. Square root of inertia force to elastic force

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Option 3 : Square root of inertia force to gravity force
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Concept:

Froude number is the ratio of inertial force to the gravitation force.

\(\text{Froude }\!\!~\!\!\text{ number}=\text{ }\!\!~\!\!\text{ }\sqrt{\frac{\text{Inertia force }\!\!~\!\!\text{ }}{\text{Gravitational force }\!\!~\!\!\text{ }}}\)

Froude number has the following applications:

  • Used in cases of river flows, open-channel flows, spillways, surface wave motion created by boats
  • It can be used for flow classification

Important Points

\(\text{Reynold's number}=\frac{\text{Inertia force}}{\text{Viscous force}}\)

\(\text{Euler }\!\!~\!\!\text{ number}=\sqrt{\frac{\text{Inertia force}}{\text{Pressure force}}}\)

\(\text{Weber }\!\!~\!\!\text{ number}=\sqrt{\frac{\text{Inertia force}}{\text{Surface Tension force}}}\)

\(\text{Mach }\!\!~\!\!\text{ number}=\sqrt{\frac{\text{Inertia force}}{\text{Compressibility force}}}\)

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