POROUS MEDIUM MAGNETOHYDRODYNAMICS

Abstract

here we established the mathematical model of dynamics of porous solid medium saturated with compressible magneto-fluid, directly coupled the stress, flow and electromagnetic fields, studied their interactions and propagation regularity of waves and proved that there exist various P and S waves and also their mixture, which, generally, Possess damping and freguency scattering effects.In magnetic (geomagnetic and biological etc.) field, conductive fluid (seawater, oil and blood etc. ) flows to induce electric current thus changes the magnetic field; whearas elactric current flows in magnetic field to produce mechanical force, which influences the deformation of solid skeleton and the flow of the fluid; the deformation of solid skeleton and Darcy osmosis in the interstitial passage in turn change the flow of the fluidAfter the linearization of the model, the general decompositions of the displacement vectors on solid and flow fields as well as magnetic field are given. In this diphase medium, we have theoretically shown the existence of six types of various forms of waves and their behaviors.The difficulties and the abundant anticipated contents of the new theory come right from the complicated interactions. In this paper, with the exception of correcting several oversights and mistakes in some works on magnetohydrodynamics, we also deal with the (Micro-)Bermuda Effect, the possible mechanism of the luminescence in earthquake and the generalization of the solid skeleton from elasticity to viscoelasticity. The mathematical research on conservation laws, equivalent principles, similarities of Transmision Line Theory, dynamical stress concentrations, nonlinear waves and variational principles related to this theory will be presented later.Further study of this theory is undoubtedly important to geophysics, oceanography, life science lind the science of energy resources.Porous medium magnetohydrodynamics is in its initial stage. The field is rather new and only begin to be explored, a large number of unsolved problems and experimental work offer a challenge to future workers.