Insights for the Impacts of Inclined Magnetohydrodynamics, Multiple Slips, and the Weissenberg Number on Micro-Motile Organism Flow: Carreau Hybrid Nanofluid Model

This study focuses on the analysis of the simultaneous impact of inclined magnetohydrodynamic Carreau hybrid nanofluid flow over a stretching sheet, including microorganisms with the effects of chemical reactions in the presence and absence of slip conditions for dilatant (n>1.0) and quasi-elastic hybrid nanofluid (n<1.0) limitations. Meanwhile, the transfer of energy is strengthened through the employment of heat sources and bioconvection. The analysis incorporates nonlinear thermal radiation, chemical reactions, and Arrhenius activation energy effects on different profiles. Numerical simulations are conducted using the efficient Bvp5c solver. Motile concentration profiles decrease as the density slip parameter of the motile microbe and Lb increase. The Weissenberg number exhibits a distinct nature depending on the hybrid nanofluid; the velocity profile, skin friction, and Nusselt number fall when (n>1.0) and increase when (n<1.0). For small values of inclination, the 3D surface plot is far the surface, while it is close to the surface for higher values of inclination but has the opposite behavior for the 3D plot of the Nusselt number. A detailed numerical investigation on the effects of important parameters on the thermal, concentration, and motile profiles and the Nusselt number reveals a symmetric pattern of boundary layers at various angles (α). Results are presented through tables, graphs, contour plots, and streamline and surface plots, covering both shear-thinning cases (n<1.0) and shear-thickening cases (n>1.0).