Abstract
A numerical simulation of magneto-bioconvective DF (Darcy-Forchheimer) transport of gyrotactic microbes using the Williamson nanofluid model over a flexible cylinder under the physical effects of Arrhenius activation energy, thermal radiation, triple stratifications and wall slip is performed in this research communication. The flow dynamics also take into consideration the thermo-migration and random (haphazard) motion's physical effects. The similarity transformations are opted to translate the governing system of non-linear coupled PDEs into ODEs, which are then numerically tackled using the sophisticated MATLAB function named bvp4c. The significant effects of developing emergent physical factors on the accompanying fields are exploited via graphical sketches and numerically constructed tables. It is determined that strengthening the Williamson, porosity, magnetic parameters, and Forchheimer number causes considerable slowing of transport profiles. Thermal enrichment can be seen by increasing thermal radiation and thermophoresis parameters. Microbe concentration rises as a response to activation energy and reaction parameters. The current model may be used to solve various biological, biomedical, bioengineering, architectural thermal insulation, geophysical activities, and ecological problems.
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