A Numerical study of the unsteady flow of two immiscible micro polar and Newtonian fluids through a horizontal channel using DQM with B-Spline basis function

Abstract

In this paper the differential quadrature method, using cubic B-spline basis function is applied to get numerical solution for the unsteady flow of two immiscible micro polar and Newtonian fluids through a horizontal channel. This numerical technique is not only subsequently easy to enforce but also inexpensive in phrases of data complexity. The two immiscible micro-polar and Newtonian fluids were taken into account as combined partial differential equations. For fluid velocity and micro rotation regarding different fluid parameter sets, empirical outcomes are obtained. The analysis of results is discussed in three situations, with constant, periodic and decreasing pressure gradient. The effects of admissible fluid parameters i.e. Reynolds number, ratio of viscosities, micro polarity parameter and time on fluid velocities, micro rotation and volume flow rate have been illustrated through graphs. The outcomes in terms of volume flow rate across the channel for fluid velocities with different fluid parameters are addressed.