Mathematical analysis for energy transfer of micropolar magnetic viscous nanofluid flow on permeable inclined surface and Dufour impact

This study examined the flow of nanoliquid over an extendible surface in a micro-rotational manner. Nanotechnology recently prioritized nanoparticle dispersion in liquids. Nanoparticles increase the thermal conductivity of conventional liquids, which helps generate and transmit energy. The movement of energy has been chosen as a primary area of study in this examination via permeable oblique surface. Dufour impacts and thermal radiation have both been used in this investigation. Moreover, the viscous dissipative and magnetism force influences are considered on the porous medium. This work makes use of the popular bvp4c computational technique. A proper similarity conversion is managed to convert the flow expressions into nonlinearly differential equations. In the appearance of charts and tables, the physical values are depicted along with various consequences of material limitations. Based on the findings, we were able to determine that the Dufour and Eckert effects are responsible for the increase in the temperature profile contrary to the permeability of the inclined surface also Because of the angle of the surface, the velocity curve is found to be lower. This fundamental finding will help engineers and scientists manage the fluid flow and enhance sophisticated systems that employ it.