Mathematical Simulation for Energy Transfer in a Couple Stress Ternary Hybrid Nanofluid Flow Passing through a 3D Surface, Considering the Impact of MHD and Viscous Dissipation

This current research paper aims to study a comprehensive mathematical modeling and mathematical simulation for heat transfer enrichment in a couple stress ternary hybrid nanofluid flow across a 3D stretching surface, incorporating the influences of magnetohydrodynamics (MHD) and viscous dissipation. The ternary hybrid nanofluid is composed of 3 distinct nanoparticles, namely titania oxide, alumina oxide, and silver nanoparticles. suspended in a blood non-Newtonian base fluid to enhance its thermal conductivity and energy transport characteristics. The consideration system of NLPDEs (partial differential equations governing momentum and energy transport) is formulated and concentrated to NLODEs (ordinary differential equations) with proper similarity transformations. The transform equations are semi-numerically solved with the help of the Homotopy Analysis Method. The influence of important parameters like the magnetic field strength (MHD), couple stress parameter, nanoparticle volume fractions, Casson parameter, Darcy porous parameter, and Eckert number on the velocity and energy profiles is analyzed in detail. Outcomes indicate that the enhancement of the value of Darcy’s parameter, the couple stress parameter, and the MHD parameter decreases the velocity field, also increasing the value of the nanoparticles volume friction. Eckert number and MHD parameter increase the heat transfer rate. These findings offer valuable insights for optimizing thermal systems involving advanced nanofluid technologies and non-Newtonian effects over complex geometries. Tri-hybrid nanofluids have the potential to be used in advanced manufacturing processes, including heat-sensitive operations, biomedical applications, and bioreactors, due to their non-Newtonian behaviour and motile microorganisms.