Computational study on entropy generation in Casson nanofluid flow with motile gyrotactic microorganisms using finite difference method

The present study reveals the phenomenon of flow and thermal variations of non-Newtonian nanofluids flow of Copper (Cu) nanoparticles through two orthogonal permeable porous discs. Additionally, the study delves into the significance of liquid solid interfacial layer and nanoparticle diameter is studied to optimize the thermal conductivity. Gyrotactic Microorganisms are also considered to optimize the nanoparticles stability inside the fluid, and the entropy generation caused to system disorder, so entropy analysis is also calculated. Using appropriate dimensionless variables, the controlling PDEs are converted into dimensionless forms. These dimensionless PDEs are solved using the Finite Difference technique, which yields very accurate and stable solutions. Higher values of the Rayleigh bio-convection and mixed convection terms enhance the flow velocity field in both porous discs. The less thickness of nanolayer has significance effect to optimize the temperature. Enhancing the values of bioconvection Lewis number leads to a decrease in motile microorganism concentration in both permeable discs, and entropy generation rate increases against rising power of Eckert number and thermal radiation rise. The finite difference method outcomes have been thoroughly validated against already published research, and showing an excellent correlation. This research holds significant potential for applications in the fabrication and electromagnetic control of advanced magnetic nanofluid materials, relevant to biomedical, energy, thermal management, and aerospace technologies.