Computational study of tetra hybrid nanofluid in micropolar fluid on shrinking/stretching needle: A dual solution study

The current model describes the dual solutions in a non-Newtonian fluid on a shrinking and stretching needle, which gives applications in the real world. Such as polymer extrusion, biomedical processes, fiber coating, electronic devices and cooling process. The motion of multiple nanofluids is produced when the needle moves in both directions (stretching and shrinking). The Soret and Dufour effects are analyzed in mass and energy equations. The phenomenon of activation energy is analyzed. The theory of slip conditions is used. The correlation of tetra-hybrid nanofluid is considered to analyze the mechanism of the thermal and cooling process. The role of gyrotactic microorganisms is considered with activation energy. The derived form of ODEs is obtained via transformations. The finite element method is used to simulate the dual solution. Heat transfer rate decreases with a change of Soret number, while mass diffusion rate is a decreasing function with a change of Schmidt number. The density of the nanofluids grows when the Péclet number is enhanced, but the density of the nanofluids declines with higher values of the velocity fields because of large values of the micropolar parameter (k), bioconvection Rayleigh number (RB) and buoyancy ratio number. When the size of the needle enhances, Nusselt, Sherwood and shear stress numbers are enhanced.