Influence of Lorentz force and Induced Magnetic Field Effects on Casson Micropolar nanofluid flow over a permeable curved stretching/shrinking surface under the stagnation region

We presented an unsteady mixture of Casson Micropolar nanofluid flow and heat transfer over a permeable stretching/shrinking channel in the presence of Induced magnetic field and hydrodynamic Lorentz force which acts opposite to the flow and helps control the flow dynamics. Since the geometry of the channel is curved therefore, we employed Curvilinear coordinates to best label the envisaged problem. Mathematical modelling of the flow current resulted in an intricate system of partial differential equations with various embedded parameters. The simplified version of the system of resulting ordinary differential equations is simulated using the MATLAB function bvp4c setting tolerance level at 1e-4. To achieve the desired boundary conditions, the solver is applied recursively to pick the best match of the assorted parameters. Physical significance of sundry parameters used for velocity, induced magnetic, micro-rotational, temperature and concentration profiles are highlighted through graphs and arguments. Curvature of the channel is responsible for slowing down the flow, while significant importance of stretching/shrinking channel is visible as the Non-Newtonian fluid is discharged over the curved channel.