Bioconvective flow of nanofluid past a cylinder subject to Thompson–Troian slip

The bioconvective flow of a nanofluid across a cylinder under the impact of Thompson–Troian slip conditions is studied in this work. The nonzero velocity at the boundary, which affects the distribution of shear stress and, in turn, the overall flow pattern, is explained by this slip condition. Additionally, the paper covers the dynamics of nanofluid flow and its mass and heat transfer characteristics. Partial differential equations (PDEs) that characterize the momentum, energy, concentration and species movement in the fluid, are used to simulate the flow. Through similarity transformations, these PDEs are transformed into a system of ordinary differential equations (ODEs), simplifying the intricate flow phenomena. After applying the similarity transformations, the resulting system of ODEs is solved via the Runge–Kutta–Fehlberg (RKF45) technique. The study emphasizes how important precise modeling and numerical solutions are for managing and predicting bioconvective flows in real-world applications, including cooling systems, chemical reactors and microfluidic devices. The results provide a basis for further research into more complex flow scenarios as well as for the creation of cutting-edge materials and technologies that take advantage of nanofluid dynamics. The changes in the slip parameter resulted in 1–2.23% changes in the Nusselt number, whereas the changes in the magnetic field parameter accounted for 1.2–2.4%. However, the velocity of the nanofluid was found to decrease for a stronger magnetic field.