ALTERATION IN ELECTRO-OSMOTIC FLOW THROUGH A NON-DARCY POROUS MEDIUM DUE TO MHD AND PERISTALTIC PUMPING

This paper aims to investigate the electro-osmotic flow of aqueous solution in a non-Darcy porous medium. The variations in electro-osmotic flow characteristics are analyzed in the presence of magneto-hydrodynamics (MHD) and peristaltic pumping. An asymmetric sinusoidal channel wall, which is moving with peristaltic wave velocity along the channel length, is considered. A lubrication approach is adopted to simplify the governing equations for fluid flow. Debye-Huckel linearization is also utilized to simplify the Poisson equations. A regular perturbation solution is obtained to analyze the effects of mobility of the medium, Helmholtz-Smoluchowski velocity, Hartmann number, and the Darcy number on electro-osmotic flow characteristics and pumping characteristics. The findings of the present study may be applicable in designing the hybrid electro-osmotic micropumps, transport phenomena in chemical engineering, and energy systems exploiting electrokinetics.