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Froude number

From Academic Kids

In fluid dynamics, the Froude number (named after William Froude) is the reciprocal of the square root of the Richardson number.

It is sometimes called Reech-Froude number after Ferdinand Reech, who introduced it for testing ships and propellers in 1852. Also, a number of other French researchers used this number before Froude.

the Froude number is defined as

<math>

u\over\sqrt{gh} <math> where <math>u<math> is a representative speed, g the acceleration due to gravity, and <math>h<math> a representative length scale.

When used in the context of the Boussinesq approximation it is defined as

<math> {u\over \sqrt{g' h}}<math>

where g' the reduced gravity (see Boussinesq approximation) and <math>h<math> a representative vertical lengthscale. Strictly, this is known as the densimetric Froude number.

The densimetric Froude number is usually preferred by modellers who wish to nondimensionalize a speed preference to the Richardson number which is more commonly encountered when considering stratified shear layers.

For example, the leading edge of a gravity current moves with a front Froude number of about unity.de:Froude-Zahl nl:Getal van Froude fi:Frouden luku

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