A mathematical model for bioconvection flow of Williamson nanofluid over a stretching cylinder featuring variable thermal conductivity, activation energy and second-order slip

Abstract

The significant bioconvection phenomenon with the utilization of nanoparticles encountered fundamental industrial and technological applications in recent years. This communication addressed the bioconvection phenomenon in the flow of magnetized Williamson nanoparticles with additional features of activation energy and heat absorption/generation. The analysis has been suggested by imposing the interesting features of the second-order slip effects and convective Nield boundary constraints. The flow problem based on the relevant laws results in a set of partial differential equations which are further retarded into ordinary differential forms. The numerical approach based on shooting algorithm is introduced to impose the numerical solution by using MATLAB software. The flow parameters governed with the flow equations are graphically explored with associated physical consequences. The numerical division for local Nusselt number, local Sherwood number and motile number is presented while assigning diverse values to the involved parameters. The reported theoretical simulations can be more effective to enhance the thermal extrusion processes and solar energy systems. It is observed that the presence of first- and second-order slip parameters significantly controls the associated boundary layers of velocity, temperature, concentration and gyrotactic microorganism profiles.