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・ Euler Committee of the Swiss Academy of Sciences
・ Euler D.I
・ Euler D.II
・ Euler diagram
・ Euler equations (fluid dynamics)
・ Euler filter
・ Euler force
・ Euler function
・ Euler Granda
・ Euler Hermes
・ Euler Hydro-triplane
・ Euler integral
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・ Euler number
Euler number (physics)
・ Euler operator
・ Euler product
・ Euler pseudoprime
・ Euler Renato Westphal
・ Euler sequence
・ Euler Society
・ Euler spiral
・ Euler substitution
・ Euler summation
・ Euler system
・ Euler tour technique
・ Euler's conjecture
・ Euler's continued fraction formula
・ Euler's criterion


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Euler number (physics) : ウィキペディア英語版
Euler number (physics)

The Euler number (Eu) is a dimensionless number used in fluid flow calculations. It expresses the relationship between a local pressure drop e.g. over a restriction and the kinetic energy per volume, and is used to characterize losses in the flow, where a perfect frictionless flow corresponds to an Euler number of 1. The inverse of the Euler number is referred to as the Ruark Number with the symbol Ru.
It is defined as
:
\mathrm=\frac}

where
*\rho is the density of the fluid.
*p_} is the downstream pressure.
*V is a characteristic velocity of the flow.
The cavitation number has a similar structure, but a different meaning and use:
The Cavitation number (Ca) is a dimensionless number used in flow calculations. It expresses the relationship between the difference of a local absolute pressure from the vapor pressure and the kinetic energy per volume, and is used to characterize the potential of the flow to cavitate.
It is defined as
:
\mathrm=\frac\rho V^2}

where
*\rho is the density of the fluid.
*p is the local pressure.
*p_\mathrm is the vapor pressure of the fluid.
*V is a characteristic velocity of the flow.
==See also==

* Reynolds number for use in flow analysis and similarity of flows

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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