Response surface optimisation on Non-Uniform shapes ternary hybrid nanofluid flow in stenosis artery with motile gyrotactic microorganisms

Abstract

This work used ternary hybrid nanofluids containing motile gyrotactic microorganisms and irregularly shaped platelet, cylindrical, and spherical nanoparticles to evaluate heat transport in a stenosis artery with volume fractions of Cobalt $\left({\phi }_1=0.01\right)$, Silver $\left({\phi }_2=0.01\right)$, and Gold $\left({\phi }_3=0.01\right)$. The proper self-similarity variables are used to convert the fluid transport equations into ordinary differential equations., which the BVP4C then solves in MATLAB. We analyse the effects of various parameters, including curvature, magnetic intensity, thermal radiation, and non-Newtonian behaviour, regarding Nusselt numbers, temperature profiles, skin friction, and velocity distribution. The study reveals that higher curvature enhances convective heat transfer despite initial resistance due to flow constriction, while magnetic fields stabilise flow patterns and improve heat transfer via nanoparticle alignment. Thermal radiation amplifies heat transfer by reducing boundary layer thickness and enhancing energy absorption. The non-linear relationship between magnetic intensity, thermal radiation, and the Eckert number that our results reveal emphasizes the need for more vital magnetic fields to sustain stability and effective heat transfer as thermal radiation rises. This work offers valuable information for improving nanofluid, automotive, and biomedical engineering heat transfer mechanisms. It can improve heat therapy, targeted medication administration, and diagnostic imaging in biomedicine. It provides advancements in gasoline additives, lubricants, and engine cooling systems for the automotive industry. It can improve solar energy systems, microfluidics, and heat transfer systems in nanofluid engineering.