The Magnetic Prandtl number is a dimensionless quantity occurring in magnetohydrodynamics which approximates the ratio of momentum diffusivity (viscosity) and magnetic diffusivity. It is defined as:
where:
- is the magnetic Reynolds number
- is the Reynolds number
- is the momentum diffusivity (kinematic viscosity)
- is the magnetic diffusivity
At the base of the Sun's convection zone the Magnetic Prandtl number is approximately, and in the interiors of planets and in liquid-metal laboratory dynamos is approximately .
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