Nonlinear radiative transport in carreau-based ternary hybrid nanofluid flow over a porous bidirectional stretching surface with slip effects

• Sodium alginate based ternary hybrid nanofluid is studied in non-Newtonian Carreau flow over a stretching porous sheet. • Ternary hybrid nanofluid with Cu, Al2O3, TiO2 nanoparticles shows improved energy efficiency. • Study analyzes heat transfer with Joule heating, viscous dissipation, and nonlinear thermal radiation. • Velocity slip and perpendicular magnetic field affect momentum and enhance flow stability in biomedical and engineering flows. • Governing equations are made dimensionless via similarity transforms and solved using MATLAB’s bvp4c. In current era of advanced engineering and industrial systems the demand of efficient thermal energy systems turned the research of many researchers to an innovative fluid mixture named ternary hybrid nanofluids. In this article we focus to analyze flow and heat transfer of ternary hybrid nanofluid flow with basefluid sodium alginate and nanoparticles Cu, Al 2 O 3 and TiO 2 past a porous bidirectional extending sheet. The practical effects like velocity slip, nonlinear thermal radiation, magnetic field, Joule’s heating and viscous dissipation are incorporated. The system of ODEs obtained after the implementation of similarity transforms on governing equations of problem are solved using bvp4c built in command of MATLAB. The findings shows improvement in temperature with higher values of thermal radiation and heat source parameters while declining trend is observed in velocity profile with increasing values of magnetic, slip and porousity parameter. These findings promise improved cooling and energy efficiency across aerospace, nuclear, electronics, and biomedical systems, enabling more sustainable and high-performance industrial processes.