Analysis of two non‐miscible electrically conducting micropolar fluid flow through an inclined porous channel: Influence of magnetic field

Abstract

AbstractThis work aims to analyse the flow of immiscible micropolar fluid through an inclined porous channel in presence of uniform magnetic field. The flow model have divided in two different porous regions and permeability of each porous region is taken different. The two immiscible electrically conducting micropolar fluids which have different densities and viscosities, take place through these two porous regions. The flow in an inclined porous channel is caused by a constant pressure gradient which acts on entrance section of flow domain. The flow of the micropolar fluids in the respective regions is governed by Brinkman's equation. The governing flow equations of the proposed model are solved analytically by reliable techniques and exact solution of flow field, flow rate and wall shear stress is evaluated by using well‐known boundary conditions. In this work, authors examined the influence of existing parameters such as permeability parameters, Hartmann number, gravitational parameter, viscosity ratio and so forth, which describes the physical significance of the presented model, on velocity profile, flow rate and wall shear stresses and these effect presented by graphs. The results are validated with the findings of past published article.