Flow of Micropolar–Newtonian Fluids through the Composite Porous Layered Channel with Movable Interfaces

In this work, we have discussed the effect of width of the layers on the micropolar–Newtonian fluid flow through the porous layered rectangular pipe. The mathematical model of our problem represents the sandwiching of non-Newtonian fluid between the Newtonian fluid layers. The horizontal porous channel is divided into three porous layers with different permeabilities, and the problem is modeled in such a way that the width of each layer can be varied. The flow in the respective porous region took place due to the constant pressure gradient along the direction of the flow. Brinkman equation has been used for the fluids flowing through the porous medium. The problem is solved analytically, and the expressions for the flow velocity, volumetric flow rate and shearing stresses at the walls of the horizontal plates are obtained in the closed form. The impact of width of the middle porous layer is seen on the mean flow velocity, velocity profile, interfacial velocities and interfacial shear stresses. The present work has a setup that will be useful in oil recovery process, filtration of the contaminated ground water and some medical purposes.