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Euler number (physics)

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The Euler number or cavitation number is a dimensionless number used in flow calculations. It expresses the relationship between a flow's pressure and kinetic energy, and is used to characterize the potential of the flow to cavitate. It is named for Leonhard Euler.

It is defined as

<math>

\mathit{Ca}=\frac{p-p_v}{\frac{1}{2}\rho V^2} </math>

where

  • <math>\rho</math> is the density of the fluid.
  • <math>p</math> is the local pressure.
  • <math>p_v</math> is the vapor pressure of the fluid.
  • <math>V</math> is a characteristic velocity of the flow.

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