A-to-Z Guide to Thermodynamics,
Heat & Mass Transfer, and Fluids Engineering
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Euler number, Eu, represents the nondimensional relationship between pressure drop and momentum in fluid flow

where ρ is fluid density and u, fluid velocity. Stated differently, Eu represents the static pressure loss divided by two velocity heads.

An alternative form of Euler number is sometimes used, which represents 2 × fanning friction factor.

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