In the current study, thermal slip is imposed on the left boundary under the proper boundary and interface conditions, causing a coupled nonlinear system of partial differential equations to be driven by immiscible micropolar and viscous fluid flow in a vertical channel. Runge-Kutta 6th order is being implemented in Mathematica software. To make the variations of the relevant parameters easier to grasp, the velocity, angular velocity, temperature, and diffusion profiles are examined and depicted graphically. For all potential modifications of the governing parameters, the rates of mass transfer, heat transfer, and velocity transfer are tabulated. It is observed that velocity, angular velocity, and diffusion have all been significantly impacted by the thermal slip. On both boundaries, the transfer rate is reasonably affected as well.

Vertical channel, micropolar fluid, thermal slip, R-K Method.