Heat and flow analysis of a bioconvective second-grade nanofluid with multiple slip effect over a stretching porous cylinder

Fluid motions in cylindrical domains have many applications in the vital areas like as chemical processes, food industry, bioengineering, oil exploitation, etc. The aims of current research is to investigate the Darcy-Forchheimer bio-convective flow of a Second-grade nanofluid over a porous stretching cylinder. The flow model incorporates with several key factors, like magnetic fields, activation energy, non-uniform heat sources/sinks, and Joule heating effect. Additionally, the analysis is considered with the slip boundary conditions and gyrotactic microorganisms within the flow regime. The transformation of the flow model into a nonlinear system of ODEs is achieved using suitable similarity variables, and the system is solved numerically by the usage of Bvp4c approach on MATLAB. The influence of different parameters on temperature, velocity, concentration, and microorganism distribution are demonstrated by the graphical and numerically. It is evident that as the viscoelastic and curvature parameters increase, the fluid velocity rises, because the reduction in surface area leads to decrease in the fluid resistance, which causing the fluid velocity to increase. Similarly, a rise in the Eckert number and radiation parameter enhances the temperature profile, whereas a higher thermal slip parameter reduces it. Additionally a rise in the activation energy parameter enhances concentration profile.