Abstract
This study presents a fuzzy-based numerical analysis of Sisko hybrid nanofluid (HNF) flow over a stretched cylinder, which incorporates bioconvection from motile bacteria to simulate targeted medication administration for osteoarthritis treatment. The governing partial differential equations accounting for thermal radiation, Brownian motion, thermophoresis, and mixed convection are transformed into ordinary differential equations using similarity transformations and numerically solved with MATLAB's bvp5c solver. Selenium [Formula: see text] and Zinc oxide [Formula: see text] nanoparticles are also considered in the Polyethylene glycol[Formula: see text] base fluid. To maximize nanoparticle volume fractions and address parametric uncertainty, a fuzzy logic framework with α-cut decomposition is used. The results show that HNF has slowed velocity, increasing drug retention time; higher temperature, promoting localized hyperthermia; and regulated microbe density, allowing site-specific drug delivery. The proposed model creates a strong computational framework that connects theoretical modelling to actual biomedical applications, potentially improving precision-targeted therapeutics for osteoarthritis.