In this study, we investigate the electromagnetohydrodynamic (EMHD) Eyring–Powell hybrid Nanofluid flowing through a stretching surface, with the effects of copper , aluminum oxide nanoparticles and gyrotactic motile microorganism with polyvinyl alcohol‐water as a base fluid. Heat transfer, joule heating, solar radiation, mass transmission, and entropy generation effects are analyzed on the fluid flow. A numerical model with an analytical methodology for the description of fluid flow and thermal properties of a parabolic trough solar collector (PTSC) installed on a solar plate is underway as the use of solar plates in many devices going to expand. The governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by using similarity transformations. The higher‐order ODEs are then solved using the analytical scheme known as the homotopy analysis method (HAM) in MATHEMATICA. The effects of different parameters such as magnetic field, electric field, Prandtl number, Eckert number, bioconvection diffusion, Lewis number, chemical reaction parameter, bioconvection, and Grashof number are analyzed with flow characteristics graphically. The velocity of the fluid shows a decrement due to the radiation parameter, Grashof number, and Solutal Grashof number. Thermodynamic properties of the fluid are enhanced with the Prandtl number, Eckert number, and electric and magnetic field. The entropy of the fluid increases with the Prandtl number, Eckert number, and diffusion parameter. Bejan number rises due to diffusion and bioconvection diffusion parameters. The study is about the mathematical analysis of Eyring Powell fluid flowing through a PTSC with the addition of a motile microorganism. PTSC are a main source of energy production for many sectors. Nanoparticles of copper and aluminum oxide are mixed to raise the thermal properties of the fluid used for electricity production engines, solar energy systems, cooling devices. Solar radiation effect, Joule heating, and viscous dissipation are analyzed for the energy production devices.