Some two-dimensional magneto-fluid-dynamic flows at low magnetic Reynolds number

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Abstract
A study is made of some two-dimensional flows of an inviscid, uniformly conducting fluid in the presence of applied magnetic fields, for the case in which the magnetic Reynolds number (the ratio of induced fields to applied fields) is small but the magnetic force coefficient (the ratio of electromagnetio forces to inertia forces) is of order unity.Perturbations of uniform incompressible and compressible flows through aligned and crossed fields are considered. All these perturbations are strongly dependent upon the magnitude of the magnetic force coefficient. An experimental analogy of the flow through an aligned field is described.

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