The ratio of inertia force and gravitational force is called

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JKSSB JE Civil Jal Shakti 6 Dec 2022 Official Paper (Shift 2)
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  1. Euler’s number
  2. Froude’s number
  3. Reynolds number
  4. Stokes number

Answer (Detailed Solution Below)

Option 2 : Froude’s number
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Detailed Solution

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Explanation:

  • Forces encountered in flowing fluids include those due to inertia, viscosity, pressure, gravity, surface tension, and compressibility.

These forces can be written as follows:

Froude number (Fr): 

  • It is defined as the ratio of inertia force to gravity force.         
  • \({\rm{Fr = }}\frac{{\rm{V}}}{{\sqrt {{\rm{gL}}} }}\)

Reynolds number (Re): ​​

  • It is defined as the ratio of inertia force to viscous force.
  • \(R_e = {{V\times d} \over \nu}\)

Weber number (We): 

  • It is defined as the ratio of the inertia force to the surface tension force.
  • \({\rm{We = }}\frac{{{\rm{\rho }}{{\rm{V}}^{\rm{2}}}{\rm{l}}}}{{\rm{\sigma }}}\)

Mach number (M):

  • It is defined as the ratio of inertia force to the velocity of sound.
  • \(M = \frac{V}{c} = \frac{V}{{\sqrt {\frac{{dP}}{{d\rho }}} }}\)

 

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