Euler number

This article covers a metric in fluid mechanics. For other numbers named after Euler see Euler's numbers (disambiguation) .

Physical key figure
Surname	Euler number
Formula symbol	${\displaystyle {\mathit {Eu}}}$
dimension	dimensionless
definition	${\displaystyle {\mathit {Eu}}={\frac {\Delta p}{\rho \,v^{2}}}}$
${\displaystyle \Delta p}$ Pressure difference ${\displaystyle \rho }$ density ${\displaystyle v}$ Flow velocity
Named after	Leonhard Euler
scope of application	Fluid mechanics

The Euler number ( Symbol : ; by Leonhard Euler ) is a dimensionless number of the similarity theory of fluid dynamics and represents the ratio of compression forces to inertial forces, the same ratio, with an additional factor of two is considered. Pressure coefficient or -coefficient, and The connection with cavitation is referred to as the cavitation number . The Euler number is defined as: ${\displaystyle {\mathit {Eu}}}$

${\displaystyle {\mathit {Eu}}={\frac {\Delta p}{\rho \,v^{2}}}}$

Here is the pressure difference , the density and the flow velocity. ${\displaystyle \Delta p}$ ${\displaystyle \rho }$ ${\displaystyle v}$

Individual evidence

1. ↑ Bruce R. Munson et al .: Fundamentals of Fluid Mechanics . Wiley, 2012, p. 363 ( limited preview in Google Book search).