Mathematical Modelling of Multiphase Hybrid Gyro-tactic Nanofluid Flow Through Porous Convergent Pipe with Injection and Suction Using BVP4c

Abstract

This research focuses on enhancing fluid mobility by optimizing heat transfer, a crucial aspect in various industrial applications, including oil recovery. The study introduces an innovative framework that integrates microorganisms, hybrid nanoparticles, non-Newtonian fluid properties, a power law model, and inclined magnetic fields. The underlying dynamics are described by nonlinear partial differential equations, which are converted to ordinary differential equations using similarity transformation and subsequently solved through the BVP4c method. Key results demonstrate that fluid velocity increases with higher Reynolds, Hartman, Thermal Grashof, and Mass Grashof numbers due to factors such as reduced viscous drag, the Lorentz force’s acceleration effect, and enhanced buoyancy. On the other hand, a higher Prandtl number slightly reduces velocity, while an increased Schmidt number raises it by steepening the velocity gradient. Regarding temperature, higher Reynolds and Prandtl numbers, along with increased Eckert and Radiation parameters, result in elevated fluid temperatures due to enhanced convective heat transfer, decreased thermal diffusivity, viscous dissipation, and radiative heat effects. The insights gained from this study are valuable for improving oil extraction efficiency by identifying and manipulating key parameters that affect fluid behavior.