Magneto-thermo-bioconvection of a chemically sensitive Cross nanofluid with an infusion of gyrotactic microorganisms over a lubricious cylindrical surface: Statistical analysis

The current work seeks to investigate the thermal bio-convection impact of gyrotactic microorganisms in a Cross nano liquid flow through a slippery horizontal cylinder with Arrhenius activation energy involvement. This nanofluid model incorporates magnetic field, chemical reaction, Brownian motion, thermophoresis, and gravitation. The set of nonlinear formulating PDEs is converted to a set of ODEs by utilising requisite similarity transformations. The numerical computation of the altered ODEs is performed using the fourth-order Runge-Kutta-Fehlberg approach plus shooting strategy. The physical consequences of significant physical factors on non-dimensional profiles of interest are displayed in the form of figures and tables. The outcomes revealed that raising the activation energy and chemical reaction parameters significantly increases nanoparticle concentration. However, the microorganism's concentration difference parameter may be used to control the process of microorganism intensity. Using Response-Surface-Methodology (RSM), the statistical analysis (SA) of Nusselt and Sherwood numbers is performed to investigate the effectiveness of activation energy, thermophoresis, and Brownian motion parameters. Activation energy and thermophoresis parameters are both favourably sensitive to the Nusselt number. The study’s new findings may impact the biotechnology and automotive industries.