  Magnetic and vorticity fields evolution equations are known to obey the same
equation when effects of dissipation and sources terms are negligible. We
investigate the analogy between the two fields for non-vanishing dissipation
and sources. In addition to the Reynolds (Re)and Prandtl (Pr_M) numbers, we
define a new number (S_M) that is given by the ratio of the diffusive term to
the Biermann battery term and which allows for a different classification of
magnetised fluid behaviour. Numerical simulations of the two fields are then
carried out given a parameter space made of Reynolds, Prandtl and Source
numbers. We find it appropriate to present and discuss the findings against
Prandtl numbers given that these provide the link between viscous and magnetic
diffusion. Our simulations indicate that there exists a range of Prandtl
numbers for which the fields remain analogues which raises the important
question of how far the analogy goes.
