# Froude number - ship hydrodynamics

## Description

The Froude number (Fr) is a dimensionless number defined as the ratio of a characteristic velocity to a gravitational wave velocity. It may equivalently be defined as the ratio of a body’s inertia to gravitational forces. In fluid mechanics, the Froude number is used to determine the resistance of a partially submerged object moving through water, and permits the comparison of objects of different sizes. Named after William Froude, the Froude number is based on the speed–length ratio as defined by him.

Related formulas## Variables

Fr | Froude number (dimensionless) |

v | velocity of the ship (m/s) |

g | Standard gravity |

L | length of the ship at the water line level (m) |