Question:
The Euler's number is the ratio of the inertia force to the
The Euler's number is the ratio of the inertia force to the
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Important dimensionless numbers:
\[
\begin{aligned}
Re&=\frac{\text{Inertia Force}}{\text{Viscous Force}}
Fr&=\frac{\text{Inertia Force}}{\text{Gravity Force}}
We&=\frac{\text{Inertia Force}}{\text{Surface Tension Force}}
Eu&=\frac{\text{Inertia Force}}{\text{Pressure Force}}
\end{aligned}
\]
Updated On: Jul 23, 2026
- Pressure force
- Elastic force
- Surface tension force
- Viscous force
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The Correct Option is A
Solution and Explanation
Concept:
Euler number is a dimensionless parameter used in fluid mechanics to compare the inertia force with the pressure force.
It is defined as
\[
\boxed{
Eu=\frac{\text{Inertia Force}}{\text{Pressure Force}}
}
\]
or equivalently,
\[
\boxed{
Eu=\frac{\Delta P}{\rho V^2}
}
\]
where
\[
\Delta P=\text{Pressure difference},
\]
\[
\rho=\text{Density of fluid},
\]
\[
V=\text{Velocity of flow}.
\]
Step 1: Recall the definition of Euler number. Euler number expresses the ratio of \[ \text{Inertia Force} \] to \[ \text{Pressure Force}. \]
Step 2: Identify the correct option. Hence, \[ \boxed{\text{Euler's number is the ratio of inertia force to pressure force}.} \] Therefore, the correct option is \[ \boxed{(A)\;\text{Pressure force}.} \]
Step 1: Recall the definition of Euler number. Euler number expresses the ratio of \[ \text{Inertia Force} \] to \[ \text{Pressure Force}. \]
Step 2: Identify the correct option. Hence, \[ \boxed{\text{Euler's number is the ratio of inertia force to pressure force}.} \] Therefore, the correct option is \[ \boxed{(A)\;\text{Pressure force}.} \]
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