Abstract

The present paper deals with Numerical analysis for a coupled nonlinear system of partial differential equations governed by immiscible micropolar and viscous fluid flow in a vertical channel when velocity slip is placed on the left wall subjected to the suitable boundary and interface conditions using Runge-Kutta 6^th order with Mathematica application. The variation of pertinent parameters is analyzed on velocity, angular velocity, temperature, and diffusion profiles and presented graphically for easy understanding.The rate of velocity transfer, rate of heat transfer, and rate of mass transfer are tabulated for all the possible variations of governing parameters. It is found that the velocity slip has shown a major effect on velocity, angular velocity, and diffusion. Also, there is a reasonable effect on the transfer rate on both boundaries.

Keywords: Vertical channel, micropolar fluid, velocity slip, R-K Method