Euler Number
Introduction to the Euler Number used in fluid mechanics.
The Euler Number is a dimensionless value used for analyzing fluid flow dynamics problems where the pressure difference between two points is important. The Euler Number can be interpreted as a measure of the ratio of the pressure forces to the inertial forces.
The Euler Number can be expressed as
Eu = p / (ρ v2) (1)
where
Eu = Euler number
p = pressure (Pa)
ρ = density (kg/m3)
v = fluid flow velocity (m/s)
The pressure difference is often used
Eu = dp / (ρ v2) (2)
where
dp = differential pressure (Pa)
- Note! - a perfect frictionless flow corresponds to that the Euler number equals 1
The combination below is called the pressure coefficient
pressure coefficient = dp / (1/2 ρ v2) (3)
A special version of the Euler Number is in general referred to as the Cavitation Number.
Related Topics
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Fluid Mechanics
The study of fluids - liquids and gases. Involving velocity, pressure, density and temperature as functions of space and time.
Related Documents
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Cavitation Number
An introduction and definition of the Cavitation Number. -
Dimensionless Numbers
Physical and chemical dimensionless quantities - Reynolds number, Euler, Nusselt, and Prandtl number - and many more. -
Pressure Coefficient
The Pressure Coefficient is the ratio of pressure forces to inertial forces.
