Computational analysis of entropy optimization in a cylindrical enclosure with porous channel and microbial movement

In biological sciences, biofluids often display complex behavior due to the presence of nanoscale particles such as cells, molecules, and microorganisms. The Casson-Maxwell-Oldroyd-B nanofluid model is instrumental in analyzing the physical and thermal characteristics of such fluids in biological processes, including microbial movement and blood flow. This study explores the combined effects of entropy generation and microbial motion in the electrically conductive flow of a Casson-Maxwell-Oldroyd-B nanofluid over an inclined cylindrical surface embedded in a porous medium. Important physical phenomena such as activation energy, chemical reactions, variable thermal conductivity, electric forces, and viscous dissipation are incorporated into the model. The problem is formulated as a system of nonlinear partial differential equations with appropriate boundary conditions, which are then transformed into a dimensionless form using suitable scaling techniques. The dimensionless equations are solved numerically using an efficient RKF45 computational method. The effects of key physical parameters are analyzed and illustrated through graphical and tabular results. The final outcomes of this study provide valuable insights for the development of biomedical devices, including drug delivery systems, artificial blood flow models and may more.