Thermal and Mass Transport Dynamics in Casson Nanofluid: An Examination of Gyrotactic Microorganisms Within a Porous Medium

Nanofluids have exhibited considerable potential in augmenting thermal transport across various industrial sectors and have seen extensive utilization in energy-related technologies recently. Nanofluids have demonstrated remarkable properties in enhancing heat transfer for various applications within manufacturing industries and are being increasingly applied in energy technologies. Amongst the emerging tendencies is the concurrent implementation of nano-biological microorganisms. Inspired by the utilization of bio-nanofluid rotating disk oxygenators within the realm of medical engineering, this novel study presents the formulation of a simulation of swirling Von Karman flows across an impermeable power-law disc permeating a Darcy permeable system activated with nanofluid contaminated with gyrotactic bacteria. Wall slips due to particles in addition to the blow implications caused by the concentration included in the model. Bio transportation equations are presented as nonlinear partial differential equations, and after applying the appropriate transformations, they are transformed into ordinary differential equations. A bvp4c solution is used to address the resulting boundary value problem. The effects of several parameters on the dimensionless velocity, motile microorganism density, temperature, and concentration are visualised pictorially. The outcomes are in agreement with some of the earlier solutions. The findings on the thermal and mass transport phenomena of Casson nanofluids can offer significant theoretical foundations for advancements in the domain of Casson fluid engineering. The temperature outline strengthens for progressive values of the radiation parameter. Motile density outline diminishes for strengthening values of the Peclet number.