Euler's number is the ratio of

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Question

This question was previously asked in

SDSC ISRO Technical Assistant Mechanical 4 June 2022 Official Paper

Answer 1

Explanation:

Euler’s Number is defined as the square root of the ratio of the inertia force of a flowing fluid to the pressure force. Mathematically

Euler number \( = \sqrt {\frac{{Inertia\;force}}{{Pressure\;force}}}= \frac{V}{{\sqrt {P/\rho } }}\)

26 June 1

Other important dimensionless numbers are described in the table below:

Reynold’s number	\(R_e=\frac{{{inertia force}}}{{{viscous force}}} = \frac{{{\bf{\rho VL}}\;}}{{\bf{\mu }}}\)
Froude Number	\({F_r} = \sqrt {\frac{{inertia\;force}}{{gravitation\;force}}} = \frac{V}{{\sqrt {{\bf{Lg}}} }}\)
Mach Number	\({M} = \sqrt {\frac{{inertia\;force}}{{Elastic\;force}}} = \frac{V}{{\sqrt {K/\rho } }}=~\frac VC \)
Weber Number	\({W_e} = \sqrt {\frac{{inertia\;force}}{{surface\;tension}}} = \frac{V}{{\sqrt {\sigma /\rho L} }}\)