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.

The number "\(e\)" is a famous irrational number, and one of the most important numbers in mathematics.  Here are a few of the digits: 2.71828182845904523536027747135...


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


\(Eu\) = Euler Number

\(\triangle p\) = pressure differential

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

\(v\) = velocity

Solve for:

\(\triangle p = Eu   \rho   v^2  \)

\(p = \frac{\triangle p}{Eu    v^2}\)

\(v =  \sqrt  {  \frac{\triangle p}{Eu   \rho}  }\)