Question
Download Solution PDFThe ratio of inertia force and gravitational force is called
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
- 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.
- \(M = \frac{V}{c} = \frac{V}{{\sqrt {\frac{{dP}}{{d\rho }}} }}\)
Last updated on May 19, 2025
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