Investigation of Bioconvection in a Non-Newtonian Fluid Flow with Different Slip Effects over a Vertical Cylinder with Suction or Injection

This work explores the interaction of mixed bio convection and non-Newtonian fluid flow around a vertical cylinder. It considers different slip effects and the impact of suction/injection boundary conditions. The inquiry is driven by the substantial implications of comprehending the interconnected dynamics of living organisms and non-Newtonian fluids, with wide-ranging applications in biotechnology, medicine, and environmental science. The study incorporates the intricacies of shear-thinning or shear-thickening fluids by utilizing the generalized power-law model to capture non-Newtonian rheological phenomena. The vertical cylinder, selected as the archetype geometry, functions as a fundamental structure encountered in several engineering applications. The slip effects, which can vary from no-slip to full slip, are included in the model to represent the interactions between the fluid and solid. Additionally, the suction/injection boundary conditions are used to simulate external forces that are provided to govern the motion of the fluid. The study utilizes similarity transformations to convert the governing equations and employs the MATLAB BVP4c scheme to solve the resulting ordinary differential equations. It investigates a parameter space that encompasses non-Newtonian parameters, slip coefficients, bio convection parameters, and suction/injection parameters. The results demonstrate intricate relationships between bio convection, non-Newtonian rheology, slip effects, and suction/injection. These findings state the suction parameter (s>1) and dilatant fluid (n>1) have great influence on heat, mass and motile microorganism rate and also slip parameters are responsible for reducing flow profiles. The study's findings enhance our comprehension of intricate fluid dynamics when biological activity and non-Newtonian behaviour are present. This provides valuable insights for the efficient design and optimization of processes involving vertical cylinders in fields such as biotechnology, medicine, and environmental engineering.