A fully non-linear theory of electro-magneto-hydrodynamics

A number of analytical models exist for both electrohydrodynamics (EHD) and magnetohydrodynamics (MHD). At present there are no practical yet consiste nt models for the combined electro-magneto-hydrodynamic (EMHD) effects whic h occur quite often in actual situations. This work represents an attempt t o develop such a fully consistent analytical model for multi-dimensional, s teady and unsteady, compressible and incompressible flows of electrically c onducting fluids under the simultaneous or separate influence of externally applied and internally generated electric and magnetic fields. The approac h is based on the fundamental laws of continuum mechanics and thermodynamic s with all assumptions clearly stated and consistently applied. The resulti ng second order EMHD model allows for non-linear electric and thermal condu ction and electromagnetic stress within the medium. The new model is theref ore superior to the existing EMHD models and represents a tractable set of equations suitable for detailed numerical discretization and integration. ( C) 2000 Elsevier Science Ltd. All rights reserved.