Multiscale modeling of electromagnetohydrodynamic flow through porous media

The investigation of electromagnetohydrodynamic (EMHD) flow in porous media entails examining the combined influence of electric and magnetic fields on the flow dynamics within the porous structure. This study employs a two-scale computational homogenization technique to model a single-phase fluid flow through an idealized 3D periodic porous domain. The pore-scale analysis enables the examination of microscopic porosity features that are often inaccessible during physical testing, such as the formation of the Electrical Double Layer (EDL) at the fluid-solid interface. This study introduces an important novel property, “electromagneto (EM)-permeability”, associated with EMHD flows. To achieve broader applicability of the research, we perform non-dimensionalization of the governing equations. We investigate the impact of different wall zeta potential values, as well as the intensity of external magnetic and transverse electric fields, denoted by Hartmann number and non-dimensional parameter S, respectively, on EM-permeability. It is observed that the flow behaviour and EM-permeability are significantly affected by the existence of the flow-assisting and flow-opposing components of the Lorentz force term in the momentum equation.