Influence of magnetohydrodynamics on metachronal wave of particle-fluid suspension due to cilia motion

In this article, the influence of magnetohydrodynamics (MHD) on cilia motion of particle-fluid suspension through a porous planar channel has been investigated. The governing equations of Casson fluid model for fluid phase and particulate phase are solved by taking the assumption of long wavelength and neglecting the inertial forces due to laminar flow. The solutions for the resulting differential equations have been obtained analytically and a close form of solutions is presented. The expression for pressure rise along the whole length of the channel is evaluated numerically. The influences of all the physical parameters are demonstrated graphically. Trapping mechanism has also been discussed with the help of streamlines. It is observed that due to the influence of magnetohydrodynamics and particle volume fraction, velocity of the fluid decreases. It is also found that pressure rise shows similar behaviour for particle volume fraction and Casson fluid parameter.