Definition
The Chandrasekhar number is usually denoted by the letter, and is motivated by a dimensionless form of the Navier-Stokes equation in the presence of a magnetic force in the equations of magnetohydrodynamics:
where is the Prandtl number, and is the magnetic Prandtl number.
The Chandrasekhar number is thus defined as :
where is the magnetic permeability, is the density of the fluid, is the kinematic viscosity, and is the magnetic diffusivity. and are a characteristic magnetic field and a length scale of the system respectively.
It is related to the Hartmann number, by the relation:
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