 Nanofluids have many applications in industries as well as engineering such as biomedicine, manufacturing, and electronics. They are used for improvement of thermal and mass transmission. In this paper, a two-dimensional Maxwell nanofluid with thermal radiation effect on the existence of modal microorganisms over a vertically stretchable surface was explored. The consequences of heat absorption, the efficiency of heat flux in a porous medium, viscose dissipations, and joule heating impacts were considered. The Brownian and thermophoretic diffusion effects were also evaluated. Additionally, a binary chemical reaction was taken into account to evaluate the magnetohydrodynamics MHD mixed convection flow. Graphene nanoparticles were suspended in so-called engine oil, base fluid. The proposed liquid model depended on the governing nonlinear equations of velocity, temperature, the concentration of nanoparticles, and modal gyratactic microorganisms. To transform highly nonlinear partial differential equations into nonlinear ordinary differential equations, an appropriate similarity transformation was employed. The homotopy analysis method technique in Mathematica 12 was used to solve the present study. This article was authored by Al Jahine Ibrahim A, Raymond Sadiq, Ayub Rashid, and others. We're article.tv, links in the description below.