Abstract
This article studies the flow induced by cilia for a compressible Jeffrey fluid. The investigation is carried out for electrically conducting magnetohydrodynamic fluid in a space of porous media. The fluid flows inside a two-dimensional symmetric channel. The flow is demonstrated considering small magnetic Reynolds number and velocity slip at the wall. Perturbation technique is used in finding the solution. For different values of parameters, the net axial velocity is computed up to second-order calculations. It is interesting to note that Jeffrey fluid fluctuations decline as it changes from hydrodynamics to hydromagnetic fluid and as a consequence the retardation time turns out to be weak.