Bioconvection in non-Newtonian nanofluid near a perforated Riga plate induced by haphazard motion of nanoparticles and gyrotactic microorganisms in the attendance of thermal radiation and Arrhenius chemical reaction: sensitivity analysis

In recent times, bioconvection in non-Newtonian nanofluid had countless applications in biotechnology, bioengineering, microbiology, bioinformatics, medical research, etc. Stimulated by the multi-disciplinary evolution, a mathematical model is established in order to explore the bioconvection aspects of self-propelled microorganisms in a non-Newtonian nanofluid with the Casson fluid model towards a perforated Riga plate (electromagnetic actuator) under the consequences of thermal radiation and Arrhenius chemical kinetics. The phenomena of haphazard motion of nanoparticles and gyrotactic microorganisms are accounted for this model. For the Lorentz force oriented to the parallel Riga plate wall, the Grinberg concept is introduced. Model partial differential equations are mapped into ordinary differential equations (ODEs) by opting suitable maps. The resulting ODEs are computed numerically by utilising the Runge–Kutta–Fehlberg (RKF-45) technique along with the shooting approach. The sensitivity investigation of the Nusselt Number and the density number of microorganisms are performed to excogitate the impact of bioconvection thermophoresis parameter, Schmidt number, Brownian motion parameter with the aid of response surface methodology.