On multiphase wavy movements of non-Newtonian Jeffery fluid in a rotating channel with MHD and compliant walls: exact solutions

Abstract

This paper discusses the peristaltic flow of magnetized Jeffrey fluid in a two-phase (liquid and dust) scenario inside a rotating planar channel executing compliant walls through the constraints of lubrication theory. The rotation of the channel considers the orthogonal direction axis. The present investigation is made to examine the impact of the magnetic field on the flow rates of the primary and secondary velocity components due to rotational effects. The fluid is electrically conducted by an inclined magnetic field and the rotating channel is assumed to perform the peristaltic wave stream along the vertical surfaces possessing various amplitudes and velocity profiles for dual phases. Exact solutions have been composed for fluid and particulate phases on Mathematica using the built-in tool DSolve. We examined that the velocity profile for the fluid phase gets smaller values than that of the particulate phase under the same parameters by plotting the graph. It is concluded from the obtained readings that the rotational effects and the magnetic field an inverse impact on the flow speed. This study will be applied to the attributes of rotating pumping devices used in medical equipment.