MFD, Electromagnetic Columns, and Magneto-eklinostrophic Flow in Porous Media

An analogy between magneto-fluid dynamics (MFD/MHD) in porous media and geostrophic flow in a rotating frame of reference in porous media including the existence of electromagnetic columns identical to Taylor-Proudman columns is identified and demonstrated theoretically. The latter occurs in the limit of small values of a dimensionless group representing the porous media Ekman number as well as even smaller values of an imposed magnetic field number. Consequently, the electromagnetic fluid flow subject to these conditions is two dimensional and the streamlines are being shown to be identical to the pressure lines in complete analogy to rotating geostrophic flows.