Unsteady magneto-thermal flow behavior of electrically conductive Sisko nanofluid over a dynamically stretching interface and its computational analysis

Motivated by the demand for efficient thermal control in magnetically influenced fluidic systems, this study investigates unsteady magnetohydrodynamic (MHD) flow and heat transfer in an electrically conductive Sisko nanofluid over a time-evolving stretching surface. The governing momentum and energy equations are transformed into nonlinear ordinary differential equations using similarity transformations and solved via MATLAB bvp4c solver. Results show that increasing magnetic field strength enhances Lorentz drag, reducing velocity while raising temperature through Joule heating. Elevated Sisko parameters reduce viscous resistance, promoting stronger flow and thermal transport. Higher power-law indices suppress both velocity and temperature, while increasing Prandtl number thins the thermal boundary layer, improving heat transfer. Skin friction increases with magnetic intensity, whereas the Nusselt number declines. Streamline and 3D surface plots visualize the laminar boundary layer behavior. The findings are relevant for applications in polymer extrusion, metal casting, and biomedical engineering.