Euler number

from Wikipedia, the free encyclopedia
Physical key figure
Surname Euler number
Formula symbol
dimension dimensionless
Pressure difference
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:

Here is the pressure difference , the density and the flow velocity.

Individual evidence

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