# Stuart Number

## Description

The Stuart number (N), also known as magnetic interaction parameter, is a dimensionless number of fluids, i.e. gases or liquids.

It is defined as the ratio of electromagnetic to inertial forces, which gives an estimate of the relative importance of a magnetic field on a flow. The Stuart number is relevant for flows of conducting fluids, e.g. in fusion reactors, steel casters or plasmas.

Related formulas## Variables

N | Stuart number (dimensionless) |

Ha | Hartmann number (dimensionless) |

Re | Reynolds number (dimensionless) |