MHD pulsatile flow of Jeffrey liquid layers separated by micropolar liquid layer between permeable beds

Abstract

This study investigates the magnetohydrodynamic pulsatile flow of  Jeffrey liquid layers separated by a micropolar liquid layer between two permeable beds.  The flow between permeable beds is separated into three regions: Region A and C are filled with Jeffrey liquid, Region B is filled with a micropolar liquid.  The interfaces between permeable beds are subject to the Beavers Joseph slip boundary condition.  The governing equations are numerically solved with NDSolve command of Mathematica package and impact of several parameters on velocity, mass flux, and microrotation velocity have been shown graphically.  Further, results for stress distribution are presented in tabular form and discussed.  We find that the magnetic field significantly affects flow when compared to the hydrodynamic state of fluid flow between permeable beds.  Our analysis indicates that the stress distribution at both the permeable beds has an upward trend with the Reynolds, slip, porosity, and Jeffrey parameters.  Further, the mass flux enhances with the Reynolds number, Jeffrey and Micropolar material parameter, and it decreases progressively with the Hartmann number.

Journal of Naval Architecture and Marine Engineering, 23(1), 2026, PP. 145-160