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In the applications of polymer film production and lubrication systems, ternary hybrid nanofluids can significantly enhance product performance by improving thermal conduction. This study focuses on investigating a nanofluid consisting of alumina (Al2O3), zincite (ZnO), and magnetite (Fe3O4) dispersed in water to optimize its thermal and flow properties. By integrating magnetohydrodynamic (MHD) flow dynamics over a stretching/shrinking sheet with velocity slip and employing both analytical solutions and numerical analysis through MATLAB’s BVP4C, the research investigates critical parameters such as suction/injection, magnetic strength, and slip effects on surface properties and thermal transfer. The results show that increased nanoparticle hybridity, suction/injection, and magnetic strength enhance skin friction and the local Nusselt number in the primary solution, while the secondary solution shows reductions. Velocity accelerates with increased suction/injection and magnetic parameters, while temperature decreases with higher velocity slip, suction/injection, and magnetic strength. Stability analysis highlights the robustness of the primary solution and the complexities of secondary solutions, with ternary and binary nanofluids outperforming mono nanofluids under shrinking sheet conditions (λ = −6) and achieving thermal efficiency gains of 0.43% and 0.2%, respectively. This study’s novelty lies in determining the critical conditions for one, two, or no solutions and integrating analytical and numerical methods for comprehensive insights. The contribution of this work extends to optimizing heat transfer in advanced industrial applications using ternary hybrid nanofluids.

The industrial significance of stability analysis for dual solutions and heat transfer sets the stage for this research. Focusing on Maxwell ternary nanofluid flow, the study aims to enhance thermal conductivity and stability by delving into viscous dissipation and velocity slip effects on a stretching/shrinking sheet. Employing a mathematical model, refined with nondimensional transformations and MATLAB’s BVP4C solver, the research identifies dual solutions and examines the influence of key parameters on fluid dynamics and heat transfer. Results showcase a progressive improvement in convective heat transfer and skin friction from mono nanofluid (NF) to binary hybrid nanofluid (HNF), culminating with ternary hybrid nanofluid (THNF). These improvements are significantly associated with the suction/injection parameter (S), whereas the slip (σ) and elastic (K) parameters enhance thermal transfer but negatively affect skin friction efficiency at elevated levels. The robustness of the upper branch solutions underscores the reliability of these findings. Remarkably, at λ=−1.25 with a nanoparticle volume fraction of 0.04, ternary nanofluids achieve a 2.9% thermal efficiency leap over HNF, which itself surpasses NF by 0.46%. These findings hold potential for significant advancements in sectors such as electronics, manufacturing, energy, biomedical, environmental engineering, aerospace, and automotive, aiming at elevating thermal efficiency.

This study explores using hybrid nanofluids to improve water quality by enhancing heat transfer and substance decomposition. Nanofluids effectively remove pollutants, optimise heat transfer, control pollution sources, and regulate fluid dynamics, which can lead to efficient pollution management in water systems. Thus, the present research examines the flow of an unsteady hybrid Al2O3–Cu/water nanofluid near the stagnation region in a porous medium, considering the discharge concentration and convective boundary conditions. Governing equations in ordinary differential equations are obtained using similarity transformations. The BVP4C solver in MATLAB is employed to expose dual solutions. The volume fraction of copper φa2, the suction/injection parameter (S), and the unsteadiness parameter (A), collectively contribute to the delay of the boundary layer separation. Increasing the values of φa2,A, and S enhances convective heat transfer. When the sheet shrunk between the range of −16.2 and −13, hybrid nanofluid has higher convective thermal transfer than nanofluid. Moreover, an increment in φa2 and S raises the skin friction coefficients and mass diffusion rates. Stability analysis reveals that the first solution is stable while the second one is unstable.

The characteristics of Stefan blowing effects in a magneto-hydrodynamic flow of a Casson fluid past a stretching sheet are investigated. The effects of radiation, heat source/sink, Newtonian heating, Arrhenius activation energy and binary chemical reaction are considered for heat and mass transfer analysis. The homotopy analysis method (HAM) was utilised to solve the transformed non-dimensionalized equations analytically. The impact of various physical parameters affecting the flow are investigated. Further, the relationship of various parameters on the skin friction and rate of heat and mass transfer was explored using correlation and probable error. A sensitivity analysis was carried out based on the Response Surface Methodology to analyse the effect of Stefan blowing parameter, magnetic parameter and stretching/shrinking parameter on the reduced Nusselt number and reduced Sherwood number. A constant positive sensitivity for the reduced Nusselt number towards the Stefan blowing parameter for all levels of magnetic parameter and stretching/shrinking parameter was found. Further, the reduced Sherwood number indicated a negative sensitivity towards the Stefan blowing parameter.