Euler Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Euler Number is a dimensionless number about the relation between the pressure acting on a volume of liquid or gas and the inertia forces.

FORMULA

$$Eu = \frac{\triangle p}{\rho v^2}$$

Where:

$$Eu$$ = Euler Number

$$\triangle p$$ = pressure differential

$$\rho$$ (Greek symbol rho) = density

$$v$$ = velocity

Solve for:

$$\triangle p = Eu \rho v^2$$

$$p = \frac{\triangle p}{Eu v^2}$$

$$v = \sqrt { \frac{\triangle p}{Eu \rho} }$$