Question

Euler number or pressure coefficient may be represented as (notations have their usual meanings)

• A. $\frac{\Delta P}{\gamma H}$
• B. $\frac{\Delta P}{\left(\rho V^2/2\right)}$
• C. $\frac{\Delta P}{\mu V/L}$
• D. $\frac{\Delta P}{\rho Lg}$

Answer 1

The correct option is B $\frac{\Delta P}{\left(\rho V^2/2\right)}$

The Euler number $\left(E_u\right)$ is a dimensionless number used in fluid flow calculations. It expressed the relationship between a local pressure drop e.g. over a restriction and the kinematic energy per volume, and is used to characterize losses in the flow, where a perfect frictionless flow corresponds to an Euler number of 0.
$E_u=\frac{\Delta P}{\left(\rho V^2\right)/2}$