Thermal analysis of trihybrid (Co+ZrO2+Au /H2O) nanofluid flow through the exponentially deformable surface with Lorentz force and Navier’s slippage constraint

Purpose This paper aims to examine the inferences of Lorentz force, heat absorption, viscous dissipation, and porous medium on the thermal behavior of optically thick radiative trihybrid nanofluid (THNF) flow through the exponentially deformable surface with Navier’s slippage constraint. Design/methodology/approach The homogenous nanoparticles of cobalt (Co), zirconium dioxide (ZrO2) and gold (Au) are combined with water (H2O) to prepare the THNF. The formulation of the mathematical model is grounded in the fundamental principles of mass, momentum and energy conservation rules. The numerical solution of the regressive partial differential equations is analyzed using the Lobatto-IIIa-bvp4c-algorithm, which is based on finite difference method. In addition, statistical regression models are introduced to investigate the correlation between the deformable surface skin friction and heat transmission rate in relation to distinctive flow parameters. The streamlines are generated for various parameter values to characterize the flow behavior. Findings Graphical representations depict the influence of critical flow parameters on the velocity profiles, hybrid fluid temperature, surface shear stress and heat transfer rate. The computational results indicate that velocity slippage, porous media and heat absorption boost heat transfer efficiency. Nonlinear regression analysis suggests that, compared to the Lorentz force, surface shear stress is more responsive to variations in the velocity slippage factor. In contrast, the thermal slippage factor has a greater impact on the heat transfer rate of hybridized fluid than on the viscous dissipation impacts. Further, this paper observed a 4.86109% increase in the rate of heat transfer when velocity slippage parameter (Vs) is varied from 0.0–0.50, whereas a 6.38056% drop in the rate of heat transfer when P is varied from 0.3–1.0 at for the fixed values of parameters. Originality/value This study uses numerical and regression analysis to investigate several unexamined factors, including Lorentz force, porous media, viscous dissipation, suction and thermal radiation, within the context of thermal and Navier’s slippage constraints.