Numerical Examination of MHD Nonlinear Radiative Slip Motion of Non-Newtonian Fluid Across a Stretching Sheet in the Presence of a Porous Medium

In this article, we examined the flow and heat transfer attributes of MHD natural convective micropolar fluid over a permeable stretching surface with second-order velocity slip. The flow is incompressible, time-independent, and laminar. The impacts of Joule heat, nonlinear radiation, and irregular heat sink/source are anticipated. The PDEs which govern the flow have been transformed as ODEs by the choice of similarity transformations. The transformed nonlinear ODEs are changed into linear ones by the well-known shooting method then solved numerically by the fourth-order Runge-Kutta method. The variations of the flow governing parameters with the dimensionless velocity, microrotation, temperature as well as the local Nusselt number, couple stress and skin friction coefficients are thoroughly elucidated with the assistance of graphs and tables. The findings reveal that the nonlinear radiation parameter and Eckert number have a tendency to enhance the thermal field. Also, fluid velocity and microrotation velocity are reducing functions of magnetic field and porosity parameters but an opposite trend is noticed for micropolar and buoyancy parameters.