Analysis of dissipative slip flow in couple stress nanofluids over a permeable stretching surface for heat and mass transfer optimization

A numerical investigation is conducted on the dissipative flow of couple stress nanofluids over a linearly stretched permeable sheet, incorporating slip velocity. The primary objective is to explore how coupling stress, permeability, and slip velocity influence the fluid dynamics and heat transfer characteristics of the nanofluid flow. The analysis employs first-order slip conditions combined with a prescribed surface temperature. The study also considers thermophoresis and Brownian motion effects, examining their impact on the fluid and thermal behavior near the surface. The nonlinear system of equations, transformed into ordinary differential equations via similarity transformations, is solved numerically using the shooting method. The physical parameters derived from the system are presented and analyzed graphically. The results reveal that as the slip velocity parameter and Eckert number increase, the Nusselt number values decrease. Additionally, the couple stress parameter enhances both the Nusselt and Sherwood numbers. A significant observation is that the skin friction coefficient decreases with a rise in the slip parameter. Furthermore, the thermal boundary layer thickens as the Brownian motion parameter rises. The correctness, robustness, and reliability of the algorithm are validated through code verification, comparing numerical outcomes with recent studies. Additionally, this research has numerous practical applications in fields such as biomedical engineering, nanotechnology, and heat exchanger systems.