This work investigates the flow of a nanoliquid over a stretchable surface with micro-rotational properties. Nanotechnology has freshly emphasized the distribution of nanoparticles in liquids to enhance their thermal conductivity, facilitating energy generation and transfer. This research focuses on energy transfer through a permeable inclined surface, incorporating the effects of Dufour and thermal radiation. The study also considers the influences of viscous dissipation and magnetic forces on the porous medium. The well-known bvp4c computational technique is applied, using a suitable similarity transformation to convert the flow equations into nonlinear differential equations. Results are presented through graphs and tables, showcasing the physical characteristics and the impact of various material parameters. The findings reveal that the consequences of Dufour and Eckert contribute to an increase in the temperature profile, whereas the surface's inclination reduces the velocity profile.
Saeed et al. (Sun,) studied this question.