Abstract
An analysis for magnetohydrodynamic impacts on the rotational flow of nanofluids along with microorganisms, binary chemical reaction, and activation energy is considered. The equation of temperature is connected with Brownian motion, the theory of non-Fourier heat flux, and thermophoresis. The time-dependent 3D partially differentiate formulation is simplified in two independent coordinates (xi,eta). Glerikin discretization is used to employ finite element simulation in a MATLAB environment. It is noted that rising contributions of Hartmann number recede secondary as well as primary velocities; however, the primary skin friction attain negatively lower values and secondary skin friction exhibit an opposite trend. The growing input of thermophoresis and Brownian motion uplift the temperature, and the wall temperature gradient attains smaller values. The present solution of FEM has been affirmed with the available literature, indicating an incredible co-relation. The study has noteworthy applications in the industry of food and relevant to biomedical, energy systems, and current advances of aerospace technologies.