A novel nonlinear diffusion model of magneto-micropolar fluid comprising Joule heating and velocity slip effects

The impact of heat-conduction and substantial rheological model of non-Newtonian micropolar fluid, which usually features linear reflection, could not properly grab the true performance. A novel nonlinear substantial model of micropolar fluid with magnetohydrodynamic, viscous dissipation, and Joule heating is applied for the heat transfer and boundary layer flow. Like shear thinning or thickening fluids, a nonlinear power-law model describes the angular velocity, which effectively explains the non-Newtonian attributes of micropolar fluids, and it is generalized successfully by the n-diffusion theory. Further, we have used the velocity slip conditions. The non-similar equations are derived and solved numerically by bvp4c MATLAB built-in function. The results are verified in the limiting case. Graphical results for the heat and fluid flow and also for the Nusselt number help to see the impact of emerging parameters. It is observed through this study that the skin friction and Nusselt number both decline for the increasing power-law index and the micro-rotational and transient velocity both get slow for the higher slip parameter. Further, the thermal boundary layer thickness dramatically reduces for the very large Prandtl number.

Automated summary

In this study, a novel nonlinear substantial model is applied to investigate the heat transfer and boundary layer flow of micropolar fluids. By solving the non-similar equations numerically, the effects of different parameters on skin friction, Nusselt number, and thermal boundary layer thickness are observed.