Computation of Cattaneo-Christov heat and mass flux model in Williamson nanofluid flow with bioconvection and thermal radiation through a vertical slender cylinder

Nanofluids are in high demand in the medical, electrical, and engineering fields. Nanofluid flow is used in a variety of applications including industrial cooling and heating frameworks, hyperthermia, electronic device batteries, and related pharmaceutical administration systems. Because of their improved thermal properties, nanofluids are commonly used as coolants in heat exchangers also including heating systems, electronic cooling systems, and radiators. Many scientists have studied heat transfer via a cylinder. The current study uses a vertical thin cylinder to scrutinize the effects of activation energy, motile microorganisms, bioconvection, and WU's slip on the Williamson nanofluid. Brownian motion, thermal radiation, Cattaneo-Christov heat, mass flow, and thermophoresis are all considered. Using appropriate similarity variables, the structures of PDEs are translated into the structure of ordinary differential equations. Using the well-known shooting strategy (Bvp4c) in the mathematical program MATLAB, higher-order nonlinear differential equations (DEs) are reduced to first-order. The effects of important flow parameters are shown graphically and numerically. It is noted that the momentum distribution field is upsurged for mixed convection parameters and decreased for the fluid parameter. The thermal profile is declining for the Prandtl number while increasing for the thermal radiation parameter and heat source-sink parameter. It is also observed that the concentration distribution field decreased for the Lewis number and concentration relaxation parameter while boosted up for larger magnitude of activation energy and thermophoresis parameter. It is analyzed that the microorganisms profile is upsurged for bioconvection Rayleigh number while declined for Peclet number. A comparison with the reported results from available literature is also done, and an excellent agreement is found. The discovery has far-reaching ramifications in the fields of medicine, modern aircraft technology, and power generation. In this study, we combine metallic nanoparticles with the base fluid water. Metallic nanoparticles offer a wide range of uses in everyday life, including catalysts, biosensors, medicine, and medication delivery, soil pollutant removal, electronics, coatings, packaging, semiconductors, bioengineering, paints, telecommunications, cosmetics, automobiles, and water treatment.