Unveiling the effects of radiative heat transfer and thermophoretic particle deposition on tangent hyperbolic ternary hybrid nanofluid flow in a porous stretching cylinder

Abstract The present study addresses the heat and mass transport phenomena in a magnetohydrodynamic tangent hyperbolic ternary hybrid nanofluid system traversing an exponentially stretching porous cylinder in a Darcy–Forchheimer medium. The working fluid comprises molybdenum disulfide, titanium dioxide, and silver nanoparticles dispersed in water. Comprehensive analysis is conducted to elucidate the impacts of thermal radiation, internal heat generation/absorption, and thermophoretic particle deposition on flow dynamics and transport behavior. The governing highly nonlinear differential equations are solved via the Galerkin finite element discretization, coupled with predictive modeling using artificial neural networks to estimate transport properties. Results indicate that augmentation of the tangent hyperbolic parameter and Weissenberg number notably increases the fluid's resistance to deformation and enhances viscosity, thereby facilitating superior energy dissipation and attenuated momentum transport. Additionally, the intensification of the thermophoretic force under substantial thermal gradients promotes particle deposition at the substrate, resulting in elevated concentration profiles. These findings provide a mechanistic framework for optimizing thermal energy harvesting in solar collectors, improving heat removal in microelectronic cooling applications, advancing nanoparticle manipulation in filtration processes, and designing biomedical devices with enhanced surface engineering capabilities.