Prescribed Hall and Ion Slip on 3D Flow of Bioconvection Eyring-Powell Nanofluid over Stretching Sheet with Gyrotactic Microorganisms

In this article, a three-dimensional Eyring-Powell nanofluid stream in the presence of gyrotactic microorganisms over the stretched sheet is contracted under the impact of the Hall and Ion slip parameters. The main objective of this research is to examine the three-dimensional flow properties of Eyring-Powell nanofluid with aspects related to mass and heat transfer. The structure of independent partial differential equations is converted into sets of non-linear ordinary differential equations by applying the suitable conversion mechanism. The homotopy analytic strategy is employed to conduct the analytical evaluation of the current work. The skin friction coefficients and the Nusselt number are extracted against distinct flow variables. The relevant parameters are displayed visually and shown to demonstrate the impacts on the zones of velocity, temperature, concentration of nanoparticles, and concentration of gyrotactic bacteria. Furthermore, graphs and tables displaying the results have been created to demonstrate the impact of physical behaviors. The findings of this study are crucial for both academic advancements in the mathematical modelling of Eyring-Powell liquid motion with heat exchange in engineering structures and biomedicine, as well as for practical applications in chilling.