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Froude NumberIn 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 -
u\over\sqrt{gh} where is a representative speed, g the acceleration due to gravity, and a representative length scale. When used in the context of the Boussinesq approximation it is defined as -
where g' the reduced gravity (see Boussinesq approximation) and 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.
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