MHD flow of second-grade fluid containing nanoparticles having gyrotactic microorganisms across heated convective sheet

In order to keep mechanical processes running smoothly, there is a growing need for effective heat transport. The present study aims to explore the variation of heat on time-dependent maximum hydrodynamic drag (MHD) second-grade nanofluids perceiving motile gyrotactic microbe with stretchable sheets. We process the analysis of the thermal energy distribution by using the convective boundary conditions. In addition to this, we take both the chemical reaction and the heat radiation into consideration. The governing nonlinear (PDEs) are converted into (ODEs) by a similarity transformation and then computed BVP4c technique. The multiple results are marked in the range of opposing flows only. Then, the effects of numerous physical variables on temperature, concentration, fluid velocity, and motile microorganisms are scrutinized using different graphical representations. The unsteady parameter and second-grade fluid also strengthen for higher qualities, while inverse conduct is identified for a magnetic field framework. Finally, the temperature field cultivates a more significant assessment of the Biot number, and reverse behavior is observed for the Prandtl number. The obtained results are found appropriate to the existing literature.