Electromagnetic Fluid Dynamics for Aerospace Applications. Part I: Classification and Critical Review of Physical Models

The authors present a review of some physical and mathematical models that are currently used in the aerospace engineering community for representing the behavior of electrically conducting o ws subject to electromagnetic elds. Starting from the most general model, which couples the Navier-Stokes equations for non-equilibrium high-temperature gas dynamics with the Maxwell equations, they describe the simplications that are usually adopted to obtain the simplied models of magneto-uid dynamics (MFD). In this framework, they also survey the various reduced models that can be further extracted from the simplied MFD equations depending on the magnitude of the magnetic Reynolds number.