Magnetic Reynolds number (relationship to eddy current braking)

Description

The dimensionless magnetic Reynolds number, is also used in cases where there is no physical fluid involved.

The magnetic Reynolds number is the magnetic analogue of the Reynolds number, a fundamental dimensionless group that occurs in magnetohydrodynamics. It gives an estimate of the relative effects of advection or induction of a magnetic field by the motion of a conducting medium, often a fluid, to magnetic diffusion.

The mechanism by which the motion of a conducting fluid generates a magnetic field is the subject of dynamo theory. When the magnetic Reynolds number is very large, however, diffusion and the dynamo are less of a concern, and in this case focus instead often rests on the influence of the magnetic field on the flow.

Related formulas

Variables

RmMagnetic Reynolds number (dimensionless) (dimensionless)
μmagnetic permeability (m^2/s) (dimensionless)
σ electrical conductivity (Plasma conductivity) (S/m) (dimensionless)
Lcharacteristic length (m) (dimensionless)
vcharacteristic velocity (m/s) (dimensionless)