Gyrotactic microorganisms swimming in magneto-Sutterby-nanofluid over a sliding cylinder set in a Darcy-Forchheimer porous space with Arrhenius kinetics

Abstract

This current study aims to analyze the bioconvection effect of gyrotactic microorganisms in a Sutterby nanofluid flow across a slippery horizontal cylinder with the participation of Arrhenius kinetics. The model for bioconvection analysis includes factors such as Brownian motion, thermophoresis, magnetic field, gravitation, and chemical reaction. The Darcy-Forchheimer rule is applied to assess the porous space’s resistance. By employing the necessary similarity maps, the PDEs in their nonlinear form are converted into a system of coupled ODEs. The converted ODEs are numerically computed by employing the Runge–Kutta-Fehlberg technique in combination with the shooting strategy. The impacts of significant physical factors on transport characteristics and engineering parameters are depicted with the dint of Mathematica software in tables and figures. The study showed that enhancing the chemical reaction and activation energy factors significantly inflates the nanoparticles’ concentration. Moreover, it must be acknowledged that the moment profile rarefies with the Darcy number’s elevation, but higher Forchheimer number seems to have the opposite effect. The new findings of this study have potential implications in biotechnology and automobile industry.