In the present study, we recapitulated the magnetic field and porous medium effects on the peristaltic mechanism of a Jeffrey fluid model observed between two electrically conducting eccentric annuli. The inner annulus
is assumed to be rigid and to contain constant velocity across the longitudinal direction of the enclosure; the outer one is considered to be flexible and to experience peristaltic waves travelling down its walls. Moreover, the
magnetic field is examined in the direction normal to the pattern in the presence of a porous medium. The flow, meanwhile, is incompressible and follows in an unsteady format. The flow’s descriptive equations are reduced
by anticipation of long wave length and small Reynolds number approximations. The resulting governing equations are then handled using analytical techniques. The achieved expressions for the considerable functions are
manipulated graphically to determine the influences of various appertaining parameters. Finally, the results are compared with those of previous studies to confirm the validity of the present solutions through tables and
graphs. The graphs indicated that the magnetic field increases the pumping rate but that the porosity reduces it.