Analysis of two immiscible Newtonian and micropolar fluid flow through an inclined porous channel

Abstract

In this work, the flow behaviour of two immiscible fluids is analysed through an inclined channel which is made of two rigid plates. The flow model consists of two porous regions of different permeability. Newtonian and micropolar fluids are allowed to flow in the region‐I and region‐II, respectively. The flow of Newtonian and micropolar fluid in respective porous region is governed by the Brinkman's equation. An exact solution of the proposed mathematical model is obtained by using well‐known and appropriate boundary conditions. The expressions for linear velocity, microrotational velocity, flow rate and stresses are evaluated. The effect of various emerging non‐dimensional parameters like viscosity ratio, couple stress parameter, gravitational parameter, Reynolds number, and so on, on linear velocity, microrotational velocity, flow rate and stresses is presented graphically. The results are validated with the help of the previous established results.