Question
Download Solution PDFRatio of inertia force to surface tension is known as
This question was previously asked in
UKPSC JE Mechanical 2013 Official Paper II
Answer (Detailed Solution Below)
Option 4 : Weber number
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UKPSC JE CE Full Test 1 (Paper I)
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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:
Reynolds number (Re):
- It is defined as the ratio of inertia force to viscous force.
- \({\rm{Re = }}\frac{{{\rm{\rho Vl}}}}{{\rm{\mu }}}\)
Froude number (Fr):
- It is defined as the ratio of inertia force to gravity force.
- \({\rm{Fr = }}\frac{{\rm{V}}}{{\sqrt {{\rm{gL}}} }}\)
Weber number (We):
- It is defined as the ratio of the inertia force to 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 velocity of sound.
- \({\rm{M = }}\frac{{\rm{V}}}{{\rm{c}}}{\rm{ = }}\frac{{\rm{V}}}{{\sqrt {\frac{{{\rm{dP}}}}{{{\rm{d\rho }}}}} }}\)
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