Euler Numbers Calculator

Euler Number refers to the dimensional number used in calculation of fluid flow. The Euler Number expresses the relationship between local pressure drop and kinetic energy per volume.
Euler Number Calculator
I want to calculate
Pressure Change (Δp): P
Density (ρ): kg/m3
Characteristic Velocity (V): m/s
Euler Number (Eu):
Formula
E n ≈ [(2 2n+2 * (2n)!) / π2n+1 ] * [ 1 - ( 1/32n+1 ) + ( 1/52n+1 ) - ... ]

Where,
n = Given large number.

The Euler Number is used to characterize losses in the flow between a local pressure and the kinetic energy per volume where a perfect frictionless flow corresponds to an Euler Number of 1.

Example:
Calculate the Euler number for the given details.
Large Number (n) = 5

Solution:
Apply Formula:
E n ≈ [(2 2n+2 * (2n)!) / π2n+1 ] * [ 1 - ( 1/32n+1 ) + ( 1/52n+1 ) - ... ]
En ≈ [(2 2*5+2 * (2*5)!) / π2*5+1 ] * [ 1 - ( 1/32*5+1 ) + ( 1/52*5+1 ) - ... ]
En ≈ 50521